
Time bar (total: 10.8s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 870.0ms | 8 256× | 0 | valid |
| 20.0ms | 248× | 0 | invalid |
ival-sqrt: 241.0ms (37.2% of total)ival-mult: 232.0ms (35.8% of total)ival-div: 61.0ms (9.4% of total)ival-sub: 58.0ms (9% of total)ival-add: 38.0ms (5.9% of total)exact: 10.0ms (1.5% of total)ival-true: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 3 216× | lower-fma.f64 |
| 3 216× | lower-fma.f32 |
| 1 344× | lower-*.f32 |
| 1 338× | lower-*.f64 |
| 1 274× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 304 | 62 |
| 3 | 1272 | 62 |
| 4 | 3592 | 62 |
| 5 | 5843 | 62 |
| 6 | 7559 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 186 | 12 |
| 4 | 324 | 12 |
| 5 | 425 | 12 |
| 6 | 841 | 12 |
| 7 | 1707 | 12 |
| 8 | 2627 | 12 |
| 9 | 3358 | 12 |
| 10 | 3543 | 12 |
| 11 | 3573 | 12 |
| 12 | 3574 | 12 |
| 13 | 3574 | 12 |
| 14 | 3776 | 12 |
| 15 | 4021 | 12 |
| 16 | 4491 | 12 |
| 17 | 4491 | 12 |
| 18 | 4491 | 12 |
| 0 | 4491 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 105.0ms | 512× | 0 | valid |
Compiled 134 to 52 computations (61.2% saved)
ival-div: 25.0ms (51% of total)ival-mult: 15.0ms (30.6% of total)ival-sqrt: 4.0ms (8.2% of total)ival-sub: 2.0ms (4.1% of total)ival-add: 2.0ms (4.1% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 3 216× | lower-fma.f64 |
| 3 216× | lower-fma.f32 |
| 1 344× | lower-*.f32 |
| 1 338× | lower-*.f64 |
| 546× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 841 | 41 |
| 7 | 1707 | 41 |
| 8 | 2627 | 41 |
| 9 | 3358 | 41 |
| 10 | 3543 | 41 |
| 11 | 3573 | 41 |
| 12 | 3574 | 41 |
| 13 | 3574 | 41 |
| 14 | 3776 | 41 |
| 15 | 4021 | 41 |
| 16 | 4491 | 41 |
| 17 | 4491 | 41 |
| 18 | 4491 | 41 |
| 0 | 4491 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 91.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 28.0ms (56.4% of total)ival-div: 17.0ms (34.2% of total)ival-sqrt: 2.0ms (4% of total)ival-sub: 1.0ms (2% of total)ival-add: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
#<alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 0.0ms | y | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1× | egg-herbie |
| 11 070× | lower-fma.f64 |
| 11 070× | lower-fma.f32 |
| 4 714× | lower-*.f64 |
| 4 714× | lower-*.f32 |
| 3 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 612 |
| 1 | 209 | 585 |
| 2 | 666 | 585 |
| 3 | 2175 | 583 |
| 4 | 7013 | 583 |
| 0 | 9271 | 551 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| 1× | batch-egg-rewrite |
| 5 628× | lower-fma.f64 |
| 5 628× | lower-fma.f32 |
| 4 000× | lower-*.f32 |
| 3 994× | lower-*.f64 |
| 2 686× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 0 | 19 | 34 |
| 1 | 66 | 28 |
| 2 | 521 | 28 |
| 3 | 6476 | 28 |
| 0 | 8295 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) (*.f64 y y)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
Compiled 9 774 to 856 computations (91.2% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 22 | 341 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 319 | 23 | 342 |
| Status | Accuracy | Program |
|---|---|---|
| 64.9% | (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ▶ | 99.4% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
| 99.4% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| ▶ | 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
| 45.3% | (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) | |
| 99.4% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) | |
| 65.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))))) | |
| 99.4% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.0% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) | |
| ▶ | 69.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64)))) | |
| 45.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| 60.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 63.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) | |
| 68.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 60.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| 63.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 69.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) | |
| ▶ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
| 40.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 908 to 562 computations (38.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
| ✓ | cost-diff | 960 | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
| ✓ | cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
| 7 234× | lower-fma.f32 |
| 7 226× | lower-fma.f64 |
| 5 534× | lower-*.f32 |
| 5 512× | lower-*.f64 |
| 1 564× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 262 |
| 0 | 66 | 258 |
| 1 | 130 | 250 |
| 2 | 294 | 242 |
| 3 | 641 | 242 |
| 4 | 1408 | 242 |
| 5 | 2745 | 242 |
| 6 | 4864 | 242 |
| 7 | 7223 | 242 |
| 0 | 8165 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(literal 3 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(sqrt.f64 x) |
x |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -81 binary64))) |
(*.f64 x #s(literal -81 binary64)) |
#s(literal -81 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 3 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(sqrt.f64 x) |
x |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -3 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) |
(/.f64 #s(literal -1/81 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -81 binary64))) |
(*.f64 x #s(literal -81 binary64)) |
#s(literal -81 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) |
| ✓ | accuracy | 98.4% | (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) |
| ✓ | accuracy | 60.7% | (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 40.5% | #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | accuracy | 38.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| 61.0ms | 218× | 0 | valid |
| 12.0ms | 11× | 3 | valid |
| 12.0ms | 20× | 1 | valid |
| 5.0ms | 7× | 2 | valid |
Compiled 256 to 41 computations (84% saved)
ival-mult: 27.0ms (43.9% of total)const: 9.0ms (14.6% of total)ival-div: 9.0ms (14.6% of total)ival-add: 8.0ms (13% of total)adjust: 4.0ms (6.5% of total)ival-sqrt: 2.0ms (3.3% of total)ival-sub: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))> |
#<alt (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))> |
#<alt (sqrt.f64 x)> |
#<alt (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))> |
#<alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))> |
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))> |
#<alt (*.f64 (sqrt.f64 x) y)> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))> |
#<alt (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))> |
#<alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))> |
#<alt (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal 1/9 binary64) x)> |
#<alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64))> |
#<alt (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))> |
#<alt (/.f64 #s(literal -1/9 binary64) x)> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (/ 1/3 x)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))> |
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))> |
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))> |
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))> |
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (/ 1/9 x)> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)> |
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)> |
#<alt (/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))> |
#<alt (/ -1/81 (pow x 2))> |
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))> |
#<alt (pow y 2)> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (pow y 2)> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1) |
| 2.0ms | x | @ | inf | (* (sqrt x) y) |
| 2.0ms | y | @ | inf | (+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1) |
| 2.0ms | x | @ | 0 | (+ (* y y) (/ 1 (* x (* x -81)))) |
| 2.0ms | x | @ | inf | (+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1) |
| 1× | egg-herbie |
| 9 752× | lower-fma.f64 |
| 9 752× | lower-fma.f32 |
| 4 790× | lower-*.f64 |
| 4 790× | lower-*.f32 |
| 1 804× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 3890 |
| 1 | 658 | 3731 |
| 2 | 2216 | 3561 |
| 3 | 4986 | 3561 |
| 0 | 8234 | 3339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(/ 1/3 x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(* 3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* 1/3 (sqrt (/ 1 x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(* (sqrt x) y) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* 1/9 (sqrt (/ 1 x))) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(/ -1/81 (pow x 2)) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1) |
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x) |
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x)))))))) |
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x)))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ -1/81 (pow x 2)) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(pow y 2) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(pow y 2) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) |
(/ -1/81 (pow x 2)) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(pow y 2) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(pow y 2) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
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(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y)) |
(/ -1/81 (pow x 2)) |
(/.f64 #s(literal -1/81 binary64) (*.f64 x x)) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2)) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(- (pow y 2) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
| 1× | batch-egg-rewrite |
| 4 662× | lower-*.f32 |
| 4 640× | lower-*.f64 |
| 3 882× | lower-/.f32 |
| 3 874× | lower-/.f64 |
| 3 790× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 196 |
| 0 | 66 | 190 |
| 1 | 258 | 184 |
| 2 | 2150 | 176 |
| 0 | 8177 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) |
(/.f64 #s(literal -1/9 binary64) x) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
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(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) |
(+.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -81 binary64))) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x #s(literal -81 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/81 binary64) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) (*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64)))) |
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/9 binary64)) |
Compiled 21 843 to 1 469 computations (93.3% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 054 | 18 | 1 072 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 065 | 30 | 1 095 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 65.3% | (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 99.4% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| 63.6% | (fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ▶ | 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
| ▶ | 60.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| 63.7% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 60.5% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 69.3% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 49.3% | (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) | |
| 45.3% | (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) | |
| ▶ | 99.4% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
| 65.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))))) | |
| 49.2% | (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))) | |
| 99.4% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ▶ | 40.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 45.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) | |
| 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) | |
| 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) | |
| ✓ | 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| 60.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 63.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) | |
| 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))) | |
| 38.2% | #s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) | |
| 58.6% | #s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| 40.0% | #s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 60.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| 63.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
Compiled 1 090 to 680 computations (37.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 1216 | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
| 3 552× | lower-fma.f32 |
| 3 546× | lower-fma.f64 |
| 1 600× | lower-*.f32 |
| 1 584× | lower-*.f64 |
| 574× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 237 |
| 0 | 57 | 230 |
| 1 | 110 | 220 |
| 2 | 236 | 220 |
| 3 | 408 | 220 |
| 4 | 538 | 220 |
| 5 | 840 | 220 |
| 6 | 1338 | 220 |
| 7 | 2168 | 220 |
| 8 | 3110 | 220 |
| 9 | 3659 | 220 |
| 10 | 3834 | 220 |
| 11 | 3897 | 220 |
| 12 | 3966 | 220 |
| 13 | 3983 | 220 |
| 14 | 4287 | 220 |
| 15 | 4415 | 220 |
| 16 | 4417 | 220 |
| 17 | 4417 | 220 |
| 18 | 4417 | 220 |
| 0 | 4417 | 212 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | accuracy | 50.4% | #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 40.5% | #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 38.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | accuracy | 99.6% | (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| 51.0ms | 204× | 0 | valid |
| 22.0ms | 21× | 2 | valid |
| 14.0ms | 27× | 1 | valid |
| 3.0ms | 4× | 3 | valid |
Compiled 213 to 36 computations (83.1% saved)
ival-mult: 20.0ms (33% of total)ival-div: 15.0ms (24.7% of total)ival-add: 10.0ms (16.5% of total)const: 4.0ms (6.6% of total)adjust: 4.0ms (6.6% of total)ival-sub: 3.0ms (4.9% of total)ival-sqrt: 3.0ms (4.9% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))> |
#<alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))> |
#<alt (sqrt.f64 x)> |
#<alt (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))> |
#<alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))> |
#<alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)> |
#<alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64))> |
#<alt (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))> |
#<alt (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))> |
#<alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))> |
#<alt (/.f64 #s(literal 1/9 binary64) x)> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))> |
#<alt (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))> |
#<alt #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))> |
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (/ 1/3 x)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (* 3 (- y 1))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (* 3 (- y 1))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (/ 1/3 x)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 9 x)> |
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))> |
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))> |
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))> |
#<alt (/ 1 (- y 1))> |
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))> |
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))> |
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))> |
#<alt (/ 1 (- y 1))> |
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))> |
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))> |
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)> |
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y)))) |
| 0.0ms | x | @ | 0 | (+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y)))) |
| 0.0ms | y | @ | inf | (/ 1 (+ (/ 1/9 x) (+ y -1))) |
| 0.0ms | x | @ | inf | (/ 1 (+ (/ 1/9 x) (+ y -1))) |
| 0.0ms | y | @ | 0 | (+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y)))) |
| 1× | egg-herbie |
| 9 544× | lower-fma.f64 |
| 9 544× | lower-fma.f32 |
| 4 512× | lower-*.f64 |
| 4 512× | lower-*.f32 |
| 2 834× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 4531 |
| 1 | 881 | 4163 |
| 2 | 2655 | 3823 |
| 3 | 6987 | 3820 |
| 0 | 8154 | 3572 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
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(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
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(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(*.f64 x (fma.f64 x (fma.f64 y #s(literal -81 binary64) #s(literal 81 binary64)) #s(literal 9 binary64))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(*.f64 x (fma.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 729 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal -81 binary64))) #s(literal 9 binary64))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (fma.f64 (*.f64 x #s(literal -6561 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 729 binary64))) (fma.f64 y #s(literal -81 binary64) #s(literal 81 binary64))) #s(literal 9 binary64))) |
(/ 1 (- y 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal -1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))))))) |
(/ 1 (- y 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))))))) x)) |
(/ 1 (- (* 1/9 (/ 1 x)) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 y (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y)) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) y)) y) |
| 1× | batch-egg-rewrite |
| 5 842× | lower-*.f32 |
| 5 826× | lower-*.f64 |
| 3 942× | lower-fma.f32 |
| 3 936× | lower-fma.f64 |
| 3 628× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 186 |
| 0 | 57 | 177 |
| 1 | 226 | 169 |
| 2 | 1945 | 169 |
| 0 | 8291 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) |
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) |
(pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal -1 binary64))) |
Compiled 18 068 to 1 213 computations (93.3% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 994 | 14 | 1 008 |
| Fresh | 12 | 11 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 008 | 30 | 1 038 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 63.6% | (fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ✓ | 60.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| 60.5% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 69.3% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ▶ | 32.0% | (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
| 45.3% | (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) | |
| 63.8% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) | |
| ▶ | 38.2% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 40.1% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))) | |
| 99.4% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 32.0% | (*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))) | |
| ✓ | 40.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 40.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 45.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) | |
| 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) | |
| ✓ | 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| 60.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 63.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) | |
| 60.5% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 92.2% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| 40.0% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| ▶ | 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
| 63.7% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| ▶ | 38.2% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 40.0% | #s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 58.6% | #s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
Compiled 975 to 602 computations (38.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | cost-diff | 0 | #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
| 35 216× | lower-fma.f32 |
| 35 214× | lower-fma.f64 |
| 3 424× | lower-*.f32 |
| 3 408× | lower-*.f64 |
| 2 880× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 371 |
| 0 | 61 | 370 |
| 1 | 112 | 343 |
| 2 | 239 | 343 |
| 3 | 452 | 343 |
| 4 | 877 | 343 |
| 5 | 1482 | 343 |
| 6 | 3527 | 343 |
| 7 | 4717 | 343 |
| 8 | 5463 | 343 |
| 9 | 5962 | 343 |
| 10 | 6138 | 343 |
| 11 | 6207 | 343 |
| 12 | 6554 | 343 |
| 13 | 6785 | 343 |
| 14 | 6916 | 343 |
| 15 | 6972 | 343 |
| 16 | 6984 | 343 |
| 17 | 6994 | 343 |
| 18 | 6998 | 343 |
| 19 | 6998 | 343 |
| 0 | 8148 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
#s(literal -3 binary64) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 3 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(sqrt.f64 x) |
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
#s(literal -3 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 3 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (*.f64 x (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(sqrt.f64 x) |
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))) |
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) |
#s(literal -3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | accuracy | 74.1% | (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
| ✓ | accuracy | 72.2% | (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| ✓ | accuracy | 50.4% | #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 38.3% | #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 40.3% | #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| ✓ | accuracy | 38.2% | #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.8% | (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/3 binary64) x) |
| 89.0ms | 201× | 0 | valid |
| 21.0ms | 18× | 2 | valid |
| 13.0ms | 28× | 1 | valid |
| 5.0ms | 7× | 3 | valid |
| 2.0ms | 2× | 4 | valid |
Compiled 285 to 37 computations (87% saved)
ival-mult: 46.0ms (43.1% of total)ival-add: 18.0ms (16.9% of total)ival-sub: 14.0ms (13.1% of total)ival-div: 13.0ms (12.2% of total)const: 7.0ms (6.6% of total)adjust: 5.0ms (4.7% of total)ival-sqrt: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))> |
#<alt #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))> |
#<alt (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))> |
#<alt (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))> |
#<alt (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))> |
#<alt #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))> |
#<alt (*.f64 #s(literal 3 binary64) y)> |
#<alt (sqrt.f64 x)> |
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))> |
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))> |
#<alt (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))> |
#<alt (*.f64 x #s(literal 9 binary64))> |
#<alt (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))> |
#<alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))> |
| Outputs |
|---|
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
#<alt (* 3 (- y 1))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (* 3 (- y 1))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (/ 1/3 x)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)> |
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#<alt (* 9 x)> |
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#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* 2 (* x y))) x)> |
#<alt (/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x)> |
#<alt (/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x)> |
#<alt (* 9 (* x (pow y 2)))> |
#<alt (* x (+ (* 2 (/ y x)) (* 9 (pow y 2))))> |
#<alt (* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2)))))> |
#<alt (* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2)))))> |
#<alt (* 9 (* x (pow y 2)))> |
#<alt (* -1 (* x (+ (* -9 (pow y 2)) (* -2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -9 (pow y 2)) (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ (* -9 (pow y 2)) (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x)))))> |
#<alt (/ 1/9 x)> |
#<alt (+ (* 2 y) (* 1/9 (/ 1 x)))> |
#<alt (+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))> |
#<alt (+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))> |
#<alt (* 9 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))> |
#<alt (* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))> |
#<alt (* 9 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))> |
#<alt (* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 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 (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (/ (+ 1/3 (* 3 (* x y))) x)> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (/ 1/3 x)> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))> |
#<alt (* -1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)> |
#<alt (* -1 (* (sqrt x) (+ 3 (* 3 y))))> |
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))> |
#<alt (+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))> |
#<alt (+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))> |
#<alt (+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))> |
#<alt (* -3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
#<alt (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
#<alt (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
#<alt (* -3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) |
| 2.0ms | y | @ | 0 | (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y)))) |
| 1.0ms | y | @ | 0 | (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) |
| 1.0ms | x | @ | inf | (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) |
| 1.0ms | x | @ | -inf | (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) |
| 1× | egg-herbie |
| 8 166× | lower-fma.f64 |
| 8 166× | lower-fma.f32 |
| 6 842× | lower-*.f64 |
| 6 842× | lower-*.f32 |
| 2 664× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 6572 |
| 1 | 1867 | 6255 |
| 2 | 6451 | 6192 |
| 0 | 8094 | 5800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* 3 y) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(/ 1/3 x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* 3 y) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(+ (* 3 (- y 1)) (* 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) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 9 x) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(/ 1 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 9 x) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(/ 1 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(/ -1/9 x) |
(/ (- (* -2 (* x y)) 1/9) x) |
(/ (- (* x (- (* x (- 9 (* 9 (pow y 2)))) (* 2 y))) 1/9) x) |
(/ (- (* x (- (* x (- 9 (* 9 (pow y 2)))) (* 2 y))) 1/9) x) |
(* x (- 9 (* 9 (pow y 2)))) |
(* x (- (+ 9 (* -2 (/ y x))) (* 9 (pow y 2)))) |
(* x (- (+ 9 (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x))) (* 9 (pow y 2)))) |
(* x (- (+ 9 (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x))) (* 9 (pow y 2)))) |
(* x (+ 9 (* -9 (pow y 2)))) |
(* -1 (* x (- (* 2 (/ y x)) (+ 9 (* -9 (pow y 2)))))) |
(* -1 (* x (- (+ (* 2 (/ y x)) (/ 1/9 (pow x 2))) (+ 9 (* -9 (pow y 2)))))) |
(* -1 (* x (- (+ (* 2 (/ y x)) (/ 1/9 (pow x 2))) (+ 9 (* -9 (pow y 2)))))) |
(- (* 9 x) (* 1/9 (/ 1 x))) |
(- (+ (* -2 y) (* 9 x)) (* 1/9 (/ 1 x))) |
(- (+ (* 9 x) (* y (- (* -9 (* x y)) 2))) (* 1/9 (/ 1 x))) |
(- (+ (* 9 x) (* y (- (* -9 (* x y)) 2))) (* 1/9 (/ 1 x))) |
(* -9 (* x (pow y 2))) |
(* -1 (* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* 9 (/ x (pow y 2))) (+ (* 9 x) (+ (* 2 (/ 1 y)) (* 1/9 (/ 1 (* x (pow y 2)))))))) |
(* (pow y 2) (- (* 9 (/ x (pow y 2))) (+ (* 9 x) (+ (* 2 (/ 1 y)) (* 1/9 (/ 1 (* x (pow y 2)))))))) |
(* -9 (* x (pow y 2))) |
(* -1 (* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (* -1 (/ (- (* 9 x) (* 1/9 (/ 1 x))) y))) y)) (* 9 x))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (* -1 (/ (- (* 9 x) (* 1/9 (/ 1 x))) y))) y)) (* 9 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (- (* -6 y) (* -1 (+ 3 (* 3 y)))))) (* 1/3 (sqrt x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (- (* -6 y) (* -1 (+ 3 (* 3 y)))))) (* -1 (* (sqrt (pow x 3)) (- (* 3 (- 9 (* 9 (pow y 2)))) (* 3 (* (+ 3 (* 3 y)) (- (* -6 y) (* -1 (+ 3 (* 3 y)))))))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (- (* -6 y) (* -1 (+ 3 (* 3 y)))))) (* x (+ (* -1 (* (sqrt x) (- (* 3 (- 9 (* 9 (pow y 2)))) (* 3 (* (+ 3 (* 3 y)) (- (* -6 y) (* -1 (+ 3 (* 3 y))))))))) (* 3 (* (sqrt (pow x 3)) (* (+ 3 (* 3 y)) (- (* 3 (- 9 (* 9 (pow y 2)))) (* 3 (* (+ 3 (* 3 y)) (- (* -6 y) (* -1 (+ 3 (* 3 y))))))))))))))) x) |
(* -1 (* (sqrt x) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/3 (/ (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))))) (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/3 (/ (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))) (+ 3 (* 3 y))))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/3 (/ (- (* -2 (/ y (+ 3 (* 3 y)))) (* 1/3 (/ (- 9 (* 9 (pow y 2))) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y)))))))))) |
(* -1 (* (sqrt x) (/ (+ 9 (* -9 (pow y 2))) (+ 3 (* 3 y))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2)))))))) (* (sqrt (/ 1 x)) (/ (+ 9 (* -9 (pow y 2))) (+ 3 (* 3 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -1/3 (/ (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2))))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (* (sqrt -1) (+ 3 (* 3 y))))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 9 (* -9 (pow y 2))) (+ 3 (* 3 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/3 (/ (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2))))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (* (sqrt -1) (+ 3 (* 3 y))))))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ (* -1/3 (/ (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2))))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (* (sqrt -1) (+ 3 (* 3 y))))))) (+ 3 (* 3 y)))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 2 (/ y (* (sqrt -1) (+ 3 (* 3 y))))) (* -1/3 (/ (+ 9 (* -9 (pow y 2))) (* (sqrt -1) (pow (+ 3 (* 3 y)) 2)))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 9 (* -9 (pow y 2))) (+ 3 (* 3 y))))))) |
(* -1 (* (sqrt (/ 1 x)) (/ (- (* 9 x) (* 1/9 (/ 1 x))) (+ 3 (* 1/3 (/ 1 x)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 9 x) (* 1/9 (/ 1 x))) (+ 3 (* 1/3 (/ 1 x)))))) (* (sqrt (/ 1 x)) (* y (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x))))))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 9 x) (* 1/9 (/ 1 x))) (+ 3 (* 1/3 (/ 1 x)))))) (* y (+ (* -1 (* (sqrt (/ 1 x)) (* y (- (* -9 (/ x (+ 3 (* 1/3 (/ 1 x))))) (* -3 (/ (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x))))))))) (* (sqrt (/ 1 x)) (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x)))))))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 9 x) (* 1/9 (/ 1 x))) (+ 3 (* 1/3 (/ 1 x)))))) (* y (+ (* y (+ (* -1 (* (sqrt (/ 1 x)) (- (* -9 (/ x (+ 3 (* 1/3 (/ 1 x))))) (* -3 (/ (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* y (- (* -9 (/ x (+ 3 (* 1/3 (/ 1 x))))) (* -3 (/ (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x))))))) (+ 3 (* 1/3 (/ 1 x)))))))) (* (sqrt (/ 1 x)) (+ (* 3 (/ (- (* 9 x) (* 1/9 (/ 1 x))) (pow (+ 3 (* 1/3 (/ 1 x))) 2))) (* 2 (/ 1 (+ 3 (* 1/3 (/ 1 x)))))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) y)))) |
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* -1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))) (pow y 2)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) y))))) |
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* -1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))) (pow y 2)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (* (+ 3 (* 1/3 (/ 1 x))) (- (* 1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* -1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) y)))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x))))))) (* (sqrt (/ 1 x)) (/ (- (* -1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* 1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))) y))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (- (* -1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* 1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (* (+ 3 (* 1/3 (/ 1 x))) (- (* -1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* 1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x))))))) y)))) y)) (* (sqrt (/ 1 x)) (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))))) y))))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(/ 1/9 x) |
(/ (+ 1/9 (* 2 (* x y))) x) |
(/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x) |
(/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x) |
(* 9 (* x (pow y 2))) |
(* x (+ (* 2 (/ y x)) (* 9 (pow y 2)))) |
(* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2))))) |
(* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2))))) |
(* 9 (* x (pow y 2))) |
(* -1 (* x (+ (* -9 (pow y 2)) (* -2 (/ y x))))) |
(* -1 (* x (+ (* -9 (pow y 2)) (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x))))) |
(* -1 (* x (+ (* -9 (pow y 2)) (* -1 (/ (+ (* 2 y) (* 1/9 (/ 1 x))) x))))) |
(/ 1/9 x) |
(+ (* 2 y) (* 1/9 (/ 1 x))) |
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x))) |
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x))) |
(* 9 (* x (pow y 2))) |
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y))))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y))))) |
(* 9 (* x (pow y 2))) |
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y))))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 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) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(/ 1/3 x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* -1/3 (sqrt (/ 1 x))) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(* -1 (* (sqrt x) (+ 3 (* 3 y)))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* 3 y)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(* -3 (* (sqrt x) y)) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(* -3 (* (sqrt x) y)) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
| Outputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
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(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))) |
(* -1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x) |
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x) |
(* -1 (* (sqrt x) (+ 3 (* 3 y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* 3 y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64))))) |
(* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))) |
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* -3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y)))) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y)))) |
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y)))) |
(* -3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y)) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y)) |
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 6 388× | lower-fma.f32 |
| 6 386× | lower-fma.f64 |
| 4 644× | lower-/.f32 |
| 4 634× | lower-/.f64 |
| 4 044× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 294 |
| 0 | 61 | 263 |
| 1 | 265 | 227 |
| 2 | 2247 | 227 |
| 0 | 8899 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(sqrt.f64 x) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(+.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(fma.f64 y #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64)) (fma.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 27 binary64) #s(literal -27 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) |
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(*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (+.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/9 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 x #s(literal 1/9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/9 binary64)) |
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 1/9 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 x #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) x) |
(*.f64 (*.f64 x #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))) |
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) |
(pow.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -27 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))) (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (sqrt.f64 x)) (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -27 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))))) (neg.f64 (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x))) (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 x)) |
Compiled 27 871 to 1 888 computations (93.2% saved)
29 alts after pruning (20 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 8 | 1 055 |
| Fresh | 8 | 12 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 056 | 29 | 1 085 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
| 60.5% | (fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ✓ | 38.2% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 40.1% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
| 32.0% | (/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) | |
| 40.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.4% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 60.4% | (*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) | |
| ✓ | 40.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 40.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 45.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) | |
| 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) | |
| ✓ | 40.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
| 60.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 63.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) | |
| 60.5% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 92.2% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| 40.0% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x)) | |
| 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) | |
| ✓ | 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
| 63.7% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| ✓ | 38.2% | (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 49.6% | #s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 40.0% | #s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 81.8% | #s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) | |
| 58.6% | #s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
Compiled 1 373 to 492 computations (64.2% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))))) |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
3 calls:
| 100.0ms | y |
| 18.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) |
3 calls:
| 12.0ms | y |
| 12.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
3 calls:
| 10.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
3 calls:
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | x |
| 89.1% | 3 | y |
| 94.5% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
3 calls:
| 9.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 1 | y |
| 60.5% | 1 | x |
| 60.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 38.2% | 1 | x |
| 38.2% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
3 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 38.2% | 1 | x |
| 38.2% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.39565690096146e+151 | 2.2686862470511107e+153 |
| 0.0ms | -4.540104663412832e+42 | -2.966423610432835e+42 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.39565690096146e+151 | 2.2686862470511107e+153 |
| 0.0ms | -4.540104663412832e+42 | -2.966423610432835e+42 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.39565690096146e+151 | 2.2686862470511107e+153 |
| 0.0ms | -2.4773558699365146 | 0.04904498208368527 |
Compiled 19 to 17 computations (10.5% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | mul-1-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 425 |
| 1 | 104 | 425 |
| 2 | 107 | 425 |
| 3 | 112 | 425 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
| 11 070× | lower-fma.f64 |
| 11 070× | lower-fma.f32 |
| 9 752× | lower-fma.f64 |
| 9 752× | lower-fma.f32 |
| 9 544× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 196 |
| 0 | 66 | 190 |
| 1 | 258 | 184 |
| 2 | 2150 | 176 |
| 0 | 8177 | 171 |
| 0 | 218 | 3890 |
| 1 | 658 | 3731 |
| 2 | 2216 | 3561 |
| 3 | 4986 | 3561 |
| 0 | 8234 | 3339 |
| 0 | 79 | 612 |
| 1 | 209 | 585 |
| 2 | 666 | 585 |
| 3 | 2175 | 583 |
| 4 | 7013 | 583 |
| 0 | 9271 | 551 |
| 0 | 295 | 4531 |
| 1 | 881 | 4163 |
| 2 | 2655 | 3823 |
| 3 | 6987 | 3820 |
| 0 | 8154 | 3572 |
| 0 | 43 | 294 |
| 0 | 61 | 263 |
| 1 | 265 | 227 |
| 2 | 2247 | 227 |
| 0 | 8899 | 227 |
| 0 | 12 | 34 |
| 0 | 19 | 34 |
| 1 | 66 | 28 |
| 2 | 521 | 28 |
| 3 | 6476 | 28 |
| 0 | 8295 | 27 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 487 to 218 computations (55.2% saved)
Compiled 552 to 160 computations (71% saved)
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