
Time bar (total: 9.3s)
| 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)
| 522.0ms | 8 256× | 0 | valid |
ival-mult: 121.0ms (38.5% of total)ival-sub: 91.0ms (29% of total)ival-div: 87.0ms (27.7% of total)exact: 7.0ms (2.2% of total)ival-true: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% 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 |
|---|---|---|---|---|---|
| 11 | 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 | 11 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 0 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 0 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 92 to 40 computations (56.5% saved)
ival-div: 26.0ms (69.1% of total)ival-mult: 6.0ms (15.9% of total)ival-sub: 5.0ms (13.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.7% | (/.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 95.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 29.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-sub: 3.0ms (40.3% of total)ival-mult: 3.0ms (40.3% of total)ival-div: 2.0ms (26.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 #s(literal 1 binary64) 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 1.0ms | y | @ | -inf | (/ (* (- 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 805 | 10 | 815 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 806 | 10 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 49.0% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| 50.3% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 99.6% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) | |
| 99.6% | (*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) | |
| ▶ | 95.8% | #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)) |
| ▶ | 50.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 53.2% | #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)))) | |
| ▶ | 56.3% | #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)))) |
| ▶ | 53.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
Compiled 216 to 142 computations (34.3% saved)
| 1× | egg-herbie |
Found 18 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 | (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 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 9 140× | lower-fma.f32 |
| 9 136× | lower-fma.f64 |
| 2 398× | lower-*.f32 |
| 2 388× | lower-*.f64 |
| 2 098× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 180 |
| 0 | 45 | 181 |
| 1 | 94 | 177 |
| 2 | 214 | 177 |
| 3 | 535 | 177 |
| 4 | 1839 | 171 |
| 5 | 6865 | 171 |
| 0 | 8089 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#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) |
#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 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 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 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#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 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) 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) |
#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 18 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 | 99.7% | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 95.9% | (/.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 1 binary64) y) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 56.3% | #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 | 99.8% | (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 53.2% | #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 | 50.5% | #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 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 56.0ms | 238× | 0 | valid |
| 11.0ms | 7× | 2 | valid |
| 4.0ms | 11× | 1 | valid |
Compiled 155 to 28 computations (81.9% saved)
const: 15.0ms (33.2% of total)ival-mult: 14.0ms (31% of total)ival-div: 10.0ms (22.2% of total)ival-sub: 3.0ms (6.6% of total)ival-add: 2.0ms (4.4% of total)adjust: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))> |
#<alt (-.f64 #s(literal 3 binary64) x)> |
#<alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))> |
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) x))> |
#<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 (-.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 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 (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 (/ y (- 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 3 (* x y)))> |
#<alt (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))> |
#<alt (+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))))> |
#<alt (* -3 (/ y x))> |
#<alt (/ (+ (* -3 y) (* -3 (/ y x))) x)> |
#<alt (/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x)> |
#<alt (/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x)> |
#<alt (* -3 (/ y x))> |
#<alt (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt (/ y (- 1 x))> |
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x (- (* x y) (* -1 y))))> |
#<alt (+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y))))> |
#<alt (* -1 (/ y x))> |
#<alt (/ (+ (* -1 y) (* -1 (/ y x))) x)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x)> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ (+ y (/ y x)) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) 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 (/ 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> |
#<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))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (/ 1 y) (+ (* x -4/3) 1)) |
| 3.0ms | y | @ | 0 | (/ (* x 1/3) y) |
| 2.0ms | y | @ | -inf | (/ y (- 1 x)) |
| 1.0ms | x | @ | 0 | (* x (/ (* x 1/3) y)) |
| 1.0ms | y | @ | 0 | (* x (/ (* x 1/3) y)) |
| 1× | egg-herbie |
| 11 758× | lower-fma.f64 |
| 11 758× | lower-fma.f32 |
| 4 438× | lower-*.f64 |
| 4 438× | lower-*.f32 |
| 2 580× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 3049 |
| 1 | 489 | 3030 |
| 2 | 1291 | 2952 |
| 3 | 3802 | 2806 |
| 0 | 8289 | 2598 |
| 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)) |
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 (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 3 (* x y))) |
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))) |
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))))) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(* -3 (/ y x)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
y |
(+ y (* x y)) |
(+ y (* x (- (* x y) (* -1 y)))) |
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y)))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (/ y x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) 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) |
(/ 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 |
(+ 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)) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #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 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 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 x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -4/3 binary64) (*.f64 y x)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) x))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) x))) |
(* 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 x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -4/3 binary64) (*.f64 y x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) x))) |
(* 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)) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 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) |
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 |
| 4 614× | lower-/.f32 |
| 4 604× | lower-/.f64 |
| 4 144× | lower-fma.f32 |
| 4 140× | lower-fma.f64 |
| 4 132× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 157 |
| 0 | 45 | 158 |
| 1 | 174 | 154 |
| 2 | 1303 | 148 |
| 0 | 8716 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
#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 (-.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 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))) |
(+.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 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+.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 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(+.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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 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 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 (/.f64 #s(literal 27 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))) |
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))) |
(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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.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)))) |
(fma.f64 #s(literal 1 binary64) (/.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)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(fma.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))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 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 #s(literal 1 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.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 #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) x) y)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) 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 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) 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 #s(literal -1/3 binary64) (/.f64 (+.f64 x #s(literal -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 #s(literal -1/3 binary64) (/.f64 (+.f64 x #s(literal -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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #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)))) |
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #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)))))) |
(fma.f64 (+.f64 x #s(literal -3 binary64)) (neg.f64 (/.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 x #s(literal -3 binary64)) (neg.f64 (/.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)))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 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 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 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 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64)) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(/.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)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #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 (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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.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 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #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 (*.f64 x x) #s(literal 1/9 binary64)))) (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 x) #s(literal 1/9 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))))) |
(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) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #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 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #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 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
Compiled 33 939 to 2 932 computations (91.4% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 722 | 8 | 1 730 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 728 | 12 | 1 740 |
| Status | Accuracy | Program |
|---|---|---|
| 53.1% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (/.f64 (*.f64 y #s(literal -3 binary64)) x))) | |
| ▶ | 49.0% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 50.3% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 56.3% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| 49.0% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) | |
| 95.8% | #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)) | |
| ✓ | 50.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| 53.2% | #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)))) | |
| 49.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) y))) | |
| ▶ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
Compiled 234 to 146 computations (37.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 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 | (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 11 026× | lower-fma.f32 |
| 11 022× | lower-fma.f64 |
| 2 942× | lower-*.f32 |
| 2 930× | lower-*.f64 |
| 1 176× | lower-neg.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 183 |
| 0 | 53 | 183 |
| 1 | 103 | 177 |
| 2 | 216 | 177 |
| 3 | 485 | 174 |
| 4 | 1400 | 174 |
| 5 | 5408 | 174 |
| 0 | 8093 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(*.f64 #s(literal -4/3 binary64) (/.f64 x y)) |
#s(literal -4/3 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 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 |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 #s(literal -4/3 binary64) (/.f64 x y))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
(*.f64 #s(literal -4/3 binary64) (/.f64 x y)) |
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
#s(literal -4/3 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 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 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
(/.f64 x (*.f64 y #s(literal 3 binary64))) |
x |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 95.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | accuracy | 52.8% | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
| ✓ | accuracy | 99.8% | (/.f64 x (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 53.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
| ✓ | accuracy | 99.7% | (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 56.3% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) |
| ✓ | accuracy | 56.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
| ✓ | accuracy | 53.2% | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| 62.0ms | 256× | 0 | valid |
Compiled 144 to 33 computations (77.1% saved)
ival-mult: 17.0ms (37.2% of total)ival-div: 15.0ms (32.8% of total)const: 7.0ms (15.3% of total)ival-add: 3.0ms (6.6% of total)ival-sub: 2.0ms (4.4% 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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))> |
#<alt (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) y)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))))> |
#<alt #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))> |
#<alt (*.f64 #s(literal -4/3 binary64) (/.f64 x y))> |
#<alt (/.f64 x y)> |
#<alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))> |
#<alt (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)> |
#<alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))> |
#<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 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))> |
#<alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 y #s(literal 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 (* -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 (* -1/3 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))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (/ 1 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 (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ 1 y)> |
#<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 (* 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 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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<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)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* -4/3 (/ x y)) |
| 0.0ms | x | @ | inf | (* -4/3 (/ x y)) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | 0 | (/ (- 1 x) y) |
| 0.0ms | y | @ | -inf | (* -4/3 (/ x y)) |
| 1× | egg-herbie |
| 9 748× | lower-fma.f64 |
| 9 748× | lower-fma.f32 |
| 3 164× | lower-*.f64 |
| 3 164× | lower-*.f32 |
| 1 816× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 2781 |
| 1 | 271 | 2718 |
| 2 | 686 | 2710 |
| 3 | 1823 | 2492 |
| 4 | 5172 | 2492 |
| 0 | 8275 | 2294 |
| 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 (* -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 (* -1/3 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)))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 1 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)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(+ (* -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)) |
(* 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 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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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 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 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#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 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 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) 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) |
(/ 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 y) |
(/.f64 #s(literal 1 binary64) y) |
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(*.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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
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 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -3 binary64) x) x))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 x (-.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -3 binary64) x) 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 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -3 binary64) x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 x (-.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -3 binary64) x) x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x 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) |
(*.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 |
| 5 228× | lower-/.f32 |
| 5 218× | lower-/.f64 |
| 3 884× | lower-*.f32 |
| 3 872× | lower-*.f64 |
| 2 852× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 166 |
| 0 | 53 | 160 |
| 1 | 214 | 160 |
| 2 | 1451 | 160 |
| 0 | 8565 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(*.f64 #s(literal -4/3 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
#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 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(-.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 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 y (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 y (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 (/.f64 y x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 (/.f64 y x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 (neg.f64 y) (*.f64 y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 (neg.f64 y) (*.f64 y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (+.f64 (neg.f64 (/.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (+.f64 (neg.f64 (/.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (-.f64 y (*.f64 (neg.f64 y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 y (*.f64 (neg.f64 y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
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(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
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(-.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 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal -3 binary64)))) |
(neg.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) (*.f64 y #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y)) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 3 binary64) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal -3 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))))) |
(*.f64 (neg.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y)) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))) |
(neg.f64 (neg.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(-.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 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64))) |
Compiled 18 627 to 1 980 computations (89.4% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 211 | 6 | 1 217 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 214 | 15 | 1 229 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.0% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 50.3% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 56.3% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| 49.0% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) | |
| 10.5% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) | |
| ▶ | 53.2% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ▶ | 95.8% | #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)) |
| ✓ | 50.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x #s(literal -3 binary64)))) | |
| ▶ | 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) | |
| ▶ | 10.5% | #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)))) |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
Compiled 238 to 145 computations (39.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ✓ | 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 | (*.f64 y #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4/3 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 #s(literal -4/3 binary64) y)) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #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 x (/.f64 #s(literal -4/3 binary64) y)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #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))) |
| ✓ | cost-diff | 0 | (/.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) |
| ✓ | cost-diff | 0 | #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)) |
| 9 888× | lower-fma.f32 |
| 9 884× | lower-fma.f64 |
| 2 990× | lower-*.f32 |
| 2 980× | lower-*.f64 |
| 1 266× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 237 |
| 0 | 52 | 239 |
| 1 | 117 | 235 |
| 2 | 256 | 235 |
| 3 | 584 | 235 |
| 4 | 1808 | 219 |
| 5 | 6421 | 219 |
| 0 | 8092 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #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) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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)) |
x |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#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 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y))) |
(*.f64 x (/.f64 #s(literal -4/3 binary64) y)) |
x |
(/.f64 #s(literal -4/3 binary64) y) |
#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)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 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) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
| 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 (/ (- 3 x) (* (/ y (- 1 x)) 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 #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) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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)) |
x |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 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 x (/.f64 #s(literal -4/3 binary64) y))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
(*.f64 x (/.f64 #s(literal -4/3 binary64) y)) |
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
x |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 x y))) |
(/.f64 x y) |
x |
y |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| ✓ | accuracy | 53.4% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ✓ | 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 | 53.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 95.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | accuracy | 50.1% | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (/.f64 #s(literal -4/3 binary64) y)) |
| ✓ | 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 x (/.f64 #s(literal -4/3 binary64) y)))) |
| ✓ | accuracy | 53.2% | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y))) |
| ✓ | accuracy | 100.0% | #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))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| ✓ | accuracy | 95.9% | (/.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) |
| 66.0ms | 256× | 0 | valid |
Compiled 165 to 34 computations (79.4% saved)
ival-mult: 19.0ms (40.1% of total)ival-div: 11.0ms (23.2% of total)const: 9.0ms (19% of total)ival-sub: 4.0ms (8.4% of total)ival-add: 4.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (/ (* (- 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))> |
#<alt (/.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)> |
#<alt #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)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))> |
#<alt #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))))> |
#<alt #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y)))> |
#<alt (*.f64 x (/.f64 #s(literal -4/3 binary64) y))> |
#<alt (/.f64 #s(literal -4/3 binary64) y)> |
#<alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))> |
#<alt #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))> |
#<alt (*.f64 y #s(literal 3 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))> |
#<alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))> |
#<alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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 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 (* -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> |
#<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 (* -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 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 (* 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 (* 1/3 (/ (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)> |
#<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 (* -4/3 (/ x y))> |
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 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)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* 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) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)> |
#<alt -4/3> |
#<alt (- (* 1/3 x) 4/3)> |
#<alt (- (* 1/3 x) 4/3)> |
#<alt (- (* 1/3 x) 4/3)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (/ x y) (+ (* x 1/3) -4/3)) |
| 1.0ms | y | @ | inf | (* (/ x y) (+ (* x 1/3) -4/3)) |
| 0.0ms | x | @ | 0 | (* (/ x y) (+ (* x 1/3) -4/3)) |
| 0.0ms | y | @ | -inf | (* (/ x y) (+ (* x 1/3) -4/3)) |
| 0.0ms | y | @ | 0 | (/ -4/3 y) |
| 1× | egg-herbie |
| 7 084× | lower-fma.f64 |
| 7 084× | lower-fma.f32 |
| 3 252× | lower-*.f64 |
| 3 252× | lower-*.f32 |
| 1 516× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2938 |
| 1 | 271 | 2866 |
| 2 | 682 | 2858 |
| 3 | 1974 | 2694 |
| 4 | 5202 | 2640 |
| 0 | 8136 | 2394 |
| 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 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 (* -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 |
(+ 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 (* -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)) |
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)))) |
(* 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)) |
(* 1/3 (/ (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) |
(/ 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)) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 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)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x 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)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
-4/3 |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
| 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 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(* (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 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(* (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)) |
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(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)) |
-4/3 |
#s(literal -4/3 binary64) |
(- (* 1/3 x) 4/3) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(- (* 1/3 x) 4/3) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(- (* 1/3 x) 4/3) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| 1× | batch-egg-rewrite |
| 5 930× | lower-/.f32 |
| 5 922× | lower-/.f64 |
| 3 830× | lower-*.f32 |
| 3 820× | lower-*.f64 |
| 3 646× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 213 |
| 0 | 52 | 213 |
| 1 | 231 | 209 |
| 2 | 1764 | 209 |
| 0 | 8624 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #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) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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)) |
#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 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y))) |
(*.f64 x (/.f64 #s(literal -4/3 binary64) y)) |
(/.f64 #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)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 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)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #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))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.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))) (neg.f64 y))) |
(neg.f64 (/.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))) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.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 #s(literal 1 binary64) (/.f64 y #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))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.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))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.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))) #s(literal -1 binary64)))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 y #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)))))) |
(/.f64 (neg.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)))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.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))) #s(literal 1 binary64)) y) |
(/.f64 (*.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))) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.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)))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.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))) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.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))) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 y #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)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.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 #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))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.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(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #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)))) #s(literal -1 binary64))) |
(*.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.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))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
#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))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal -4/3 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (/.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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)) |
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) x (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #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 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 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 4/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (fma.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 16/9 binary64)) (*.f64 x #s(literal -4/9 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -16/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))) |
Compiled 14 881 to 1 421 computations (90.5% saved)
19 alts after pruning (8 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 989 | 4 | 993 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 989 | 19 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.0% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 50.3% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 50.2% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) | |
| 50.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) | |
| ✓ | 56.3% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| 49.2% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)) | |
| 49.0% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) | |
| 10.5% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) | |
| ✓ | 53.2% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| 10.5% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) | |
| ✓ | 95.8% | #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)) |
| ✓ | 50.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x #s(literal -3 binary64)))) | |
| ✓ | 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| 53.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) | |
| ✓ | 10.5% | #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)))) |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))) |
Compiled 429 to 185 computations (56.9% 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) 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)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(/.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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.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)) |
#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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) |
(*.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 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (/.f64 (*.f64 y #s(literal -3 binary64)) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
5 calls:
| 10.0ms | y |
| 10.0ms | (*.f64 y #s(literal 3 binary64)) |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 8.0ms | x |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.8% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) 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)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(/.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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.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)) |
#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 y #s(literal 3 binary64)) |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 7.0ms | y |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
| 95.8% | 1 | y |
| 99.8% | 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)) |
| 95.8% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) 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)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(/.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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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)))) |
2 calls:
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.0% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 22 to 16 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) 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)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(/.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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
1 calls:
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
1 calls:
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 1/3 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
5 calls:
| 6.0ms | x |
| 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 | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 56.3% | 1 | y |
| 56.3% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 56.3% | 1 | x |
| 56.3% | 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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.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 #s(literal -4/3 binary64) (/.f64 x y)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 4.0ms | x |
| 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 | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 57.1% | 2 | x |
| 50.5% | 1 | y |
| 56.1% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 50.5% | 1 | (*.f64 y #s(literal 3 binary64)) |
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 y #s(literal 3 binary64)) |
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | y |
| 50.5% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 50.5% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 50.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 50.5% | 1 | x |
Compiled 33 to 24 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8729743023344388e+180 | 3.162064235837231e+184 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0000000236491076 | 524.1807279188147 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0000000236491076 | 524.1807279188147 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0000000236491076 | 524.1807279188147 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0000000236491076 | 524.1807279188147 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -20.916821941945063 | -5.9122768314546016e-9 |
| 7.0ms | 144× | 0 | valid |
Compiled 169 to 113 computations (33.1% saved)
ival-mult: 2.0ms (50% of total)ival-sub: 1.0ms (25% of total)ival-div: 1.0ms (25% 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 |
| 22× | *-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 | 68 | 338 |
| 1 | 84 | 338 |
| 2 | 89 | 338 |
| 3 | 91 | 338 |
| 4 | 92 | 338 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 #s(literal -4/3 binary64) (/.f64 x 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)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 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 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 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 y #s(literal 3 binary64)))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 #s(literal -4/3 binary64) (/.f64 x 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)) |
| 11 758× | lower-fma.f64 |
| 11 758× | lower-fma.f32 |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 5 228× | lower-/.f32 |
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 | 166 |
| 0 | 53 | 160 |
| 1 | 214 | 160 |
| 2 | 1451 | 160 |
| 0 | 8565 | 160 |
| 0 | 30 | 157 |
| 0 | 45 | 158 |
| 1 | 174 | 154 |
| 2 | 1303 | 148 |
| 0 | 8716 | 148 |
| 0 | 175 | 3049 |
| 1 | 489 | 3030 |
| 2 | 1291 | 2952 |
| 3 | 3802 | 2806 |
| 0 | 8289 | 2598 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 449 to 205 computations (54.3% saved)
(negabs y)
Compiled 450 to 158 computations (64.9% saved)
Loading profile data...