
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 964.0ms | 8 256× | 0 | valid |
| 19.0ms | 291× | 0 | invalid |
ival-sqrt: 174.0ms (29.3% of total)ival-mult: 157.0ms (26.4% of total)ival-div: 151.0ms (25.4% of total)ival-add: 54.0ms (9.1% of total)ival-sub: 39.0ms (6.6% of total)exact: 10.0ms (1.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 3 216× | accelerator-lowering-fma.f32 |
| 3 216× | accelerator-lowering-fma.f64 |
| 1 344× | *-lowering-*.f32 |
| 1 344× | *-lowering-*.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 |
| 1 | 27 | 12 |
| 2 | 68 | 12 |
| 3 | 181 | 12 |
| 4 | 319 | 12 |
| 5 | 422 | 12 |
| 6 | 838 | 12 |
| 7 | 1693 | 12 |
| 8 | 2614 | 12 |
| 9 | 3347 | 12 |
| 10 | 3533 | 12 |
| 11 | 3563 | 12 |
| 12 | 3564 | 12 |
| 13 | 3564 | 12 |
| 14 | 3766 | 12 |
| 15 | 4011 | 12 |
| 16 | 4505 | 12 |
| 17 | 4505 | 12 |
| 18 | 4505 | 12 |
| 0 | 4505 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| Outputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.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 |
| 43.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 134 to 52 computations (61.2% saved)
ival-mult: 9.0ms (37% of total)ival-sqrt: 6.0ms (24.6% of total)ival-div: 4.0ms (16.4% of total)ival-add: 2.0ms (8.2% of total)ival-sub: 2.0ms (8.2% of total)exact: 1.0ms (4.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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× | accelerator-lowering-fma.f32 |
| 3 216× | accelerator-lowering-fma.f64 |
| 1 344× | *-lowering-*.f32 |
| 1 344× | *-lowering-*.f64 |
| 546× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 1 | 27 | 41 |
| 2 | 68 | 41 |
| 3 | 181 | 41 |
| 4 | 319 | 41 |
| 5 | 422 | 41 |
| 6 | 838 | 41 |
| 7 | 1693 | 41 |
| 8 | 2614 | 41 |
| 9 | 3347 | 41 |
| 10 | 3533 | 41 |
| 11 | 3563 | 41 |
| 12 | 3564 | 41 |
| 13 | 3564 | 41 |
| 14 | 3766 | 41 |
| 15 | 4011 | 41 |
| 16 | 4505 | 41 |
| 17 | 4505 | 41 |
| 18 | 4505 | 41 |
| 0 | 4505 | 40 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(- (+ y (/ 1 (* x 9))) 1) |
(+ y (/ 1 (* x 9))) |
y |
(/ 1 (* x 9)) |
1 |
(* x 9) |
9 |
| Outputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(- (+ y (/ 1 (* x 9))) 1) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ y (/ 1 (* x 9))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/ 1 (* x 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
1 |
#s(literal 1 binary64) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
9 |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 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))) |
| 20.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 4.0ms (35.6% of total)ival-div: 2.0ms (17.8% of total)ival-sqrt: 2.0ms (17.8% of total)ival-add: 1.0ms (8.9% of total)ival-sub: 1.0ms (8.9% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* x 9))> |
#<alt (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))> |
#<alt (* 3 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (+ y (/ 1 (* x 9)))> |
| 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 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 (/ 1/9 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)))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | 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× | batch-egg-rewrite |
| 5 628× | accelerator-lowering-fma.f32 |
| 5 628× | accelerator-lowering-fma.f64 |
| 4 000× | *-lowering-*.f32 |
| 4 000× | *-lowering-*.f64 |
| 2 686× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 59 | 26 |
| 2 | 514 | 26 |
| 3 | 6462 | 26 |
| 0 | 8281 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x 9)) |
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(* 3 (sqrt x)) |
(sqrt x) |
(+ y (/ 1 (* x 9))) |
| 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 (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))))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(+.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 (*.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) (+.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) 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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) 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)))) |
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(/.f64 (*.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) #s(literal 1 binary64)) (+.f64 (neg.f64 y) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (/.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) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (/.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)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (/.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) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.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 (*.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 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (fma.f64 y y (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) (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)))) (fma.f64 y y (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.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 #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 (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))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.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 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(*.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)))) |
(*.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))) #s(literal 1 binary64))) |
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))) |
(*.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.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))) (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) (-.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)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 (/.f64 (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 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (/.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)))))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.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 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (-.f64 (*.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))))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
| 1× | egg-herbie |
| 9 212× | accelerator-lowering-fma.f32 |
| 9 212× | accelerator-lowering-fma.f64 |
| 4 246× | *-lowering-*.f32 |
| 4 246× | *-lowering-*.f64 |
| 2 696× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 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 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))))) |
(/ 1/9 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))) |
| 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) (fma.f64 #s(literal 3 binary64) y (+.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) (fma.f64 #s(literal 3 binary64) y (+.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) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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) (fma.f64 #s(literal 3 binary64) y (+.f64 #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) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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) (fma.f64 #s(literal 3 binary64) y (+.f64 #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) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
Compiled 6 632 to 753 computations (88.6% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 16 | 286 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 17 | 287 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (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))) | |
| 99.1% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) | |
| ▶ | 99.1% | (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)))) |
| ▶ | 66.2% | (/.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) |
| 99.4% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) | |
| 99.0% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ▶ | 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) | |
| ▶ | 64.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 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))) |
| 99.1% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 60.0% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| 64.3% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| ▶ | 36.9% | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 63.5% | (*.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))))) | |
| 39.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 472 to 354 computations (25% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (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))) |
| ✓ | cost-diff | 0 | (/.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) |
| ✓ | 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)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| 17 804× | accelerator-lowering-fma.f32 |
| 17 804× | accelerator-lowering-fma.f64 |
| 2 784× | *-lowering-*.f32 |
| 2 784× | *-lowering-*.f64 |
| 1 968× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 189 |
| 1 | 84 | 189 |
| 2 | 187 | 187 |
| 3 | 336 | 187 |
| 4 | 408 | 187 |
| 5 | 534 | 187 |
| 6 | 932 | 187 |
| 7 | 1868 | 187 |
| 8 | 2924 | 187 |
| 9 | 3549 | 187 |
| 10 | 5075 | 187 |
| 11 | 6400 | 187 |
| 12 | 7393 | 187 |
| 13 | 7430 | 187 |
| 14 | 7436 | 187 |
| 15 | 7440 | 187 |
| 16 | 7617 | 187 |
| 17 | 7619 | 187 |
| 18 | 7619 | 187 |
| 0 | 8212 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3) |
(* (sqrt x) (+ y (+ (/ 1/9 x) -1))) |
(sqrt x) |
x |
(+ y (+ (/ 1/9 x) -1)) |
y |
(+ (/ 1/9 x) -1) |
(/ 1/9 x) |
1/9 |
-1 |
3 |
(* y (* (sqrt x) 3)) |
y |
(* (sqrt x) 3) |
(sqrt x) |
x |
3 |
(* (* 3 (sqrt x)) (- (/ 1/9 x) 1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(- (/ 1/9 x) 1) |
(/ 1/9 x) |
1/9 |
1 |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) |
(sqrt x) |
x |
-3 |
(* (sqrt x) (* 3 (+ (/ 1/9 x) y))) |
(* 3 (+ (/ 1/9 x) y)) |
3 |
(+ (/ 1/9 x) y) |
(/ 1/9 x) |
1/9 |
y |
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) |
(sqrt (* x (* x x))) |
(* x (* x x)) |
x |
(* x x) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
(* 1/3 (sqrt x)) |
1/3 |
(sqrt x) |
| Outputs |
|---|
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* (sqrt x) (+ y (+ (/ 1/9 x) -1))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ y (+ (/ 1/9 x) -1)) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
y |
(+ (/ 1/9 x) -1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(* y (* (sqrt x) 3)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(* (sqrt x) 3) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(* (* 3 (sqrt x)) (- (/ 1/9 x) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(- (/ 1/9 x) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3 |
#s(literal -3 binary64) |
(* (sqrt x) (* 3 (+ (/ 1/9 x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (+ (/ 1/9 x) y)) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
3 |
#s(literal 3 binary64) |
(+ (/ 1/9 x) y) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
y |
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 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) |
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) |
(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))) |
(sqrt (* x (* x x))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ (* 3 y) -3) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
(* 1/3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 97.7% | (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))) |
| ✓ | accuracy | 84.6% | (/.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) |
| ✓ | accuracy | 67.0% | (sqrt.f64 (*.f64 x (*.f64 x x))) |
| ✓ | 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 | 99.4% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 99.1% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/9 binary64) x) |
| 60.0ms | 225× | 0 | valid |
| 8.0ms | 17× | 1 | valid |
| 6.0ms | 10× | 2 | valid |
| 2.0ms | 2× | 4 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 196 to 35 computations (82.1% saved)
ival-mult: 22.0ms (39.3% of total)const: 11.0ms (19.7% of total)ival-add: 8.0ms (14.3% of total)ival-div: 7.0ms (12.5% of total)ival-sqrt: 4.0ms (7.2% of total)adjust: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)> |
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))> |
#<alt (sqrt x)> |
#<alt (+ y (+ (/ 1/9 x) -1))> |
#<alt (* y (* (sqrt x) 3))> |
#<alt (* (sqrt x) 3)> |
#<alt (* (* 3 (sqrt x)) (- (/ 1/9 x) 1))> |
#<alt (* 3 (sqrt x))> |
#<alt (- (/ 1/9 x) 1)> |
#<alt (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y))))> |
#<alt (* 3 (+ (/ 1/9 x) y))> |
#<alt (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))> |
#<alt (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)> |
#<alt (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x)))> |
#<alt (sqrt (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (/ 1/9 x)> |
#<alt (* 1/3 (sqrt x))> |
| Outputs |
|---|
#<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 (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) 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 (- (* 1/9 (/ 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 (* 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) 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))> |
#<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 (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (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))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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))))))> |
#<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 x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 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 (/ 1/3 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))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) 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 x))> |
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))> |
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))> |
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))> |
#<alt (* (sqrt (pow x 3)) (- (* 3 y) 3))> |
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))> |
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))> |
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))> |
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))> |
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))> |
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))> |
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))> |
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))> |
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))> |
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 3.0ms | y | @ | 0 | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | y | @ | inf | (* y (* (sqrt x) 3)) |
| 1.0ms | x | @ | -inf | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | x | @ | -inf | (* y (* (sqrt x) 3)) |
| 1× | batch-egg-rewrite |
| 5 330× | accelerator-lowering-fma.f32 |
| 5 330× | accelerator-lowering-fma.f64 |
| 4 580× | *-lowering-*.f32 |
| 4 580× | *-lowering-*.f64 |
| 4 366× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 135 |
| 1 | 182 | 132 |
| 2 | 1519 | 132 |
| 0 | 8388 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3) |
(* (sqrt x) (+ y (+ (/ 1/9 x) -1))) |
(sqrt x) |
(+ y (+ (/ 1/9 x) -1)) |
(* y (* (sqrt x) 3)) |
(* (sqrt x) 3) |
(* (* 3 (sqrt x)) (- (/ 1/9 x) 1)) |
(* 3 (sqrt x)) |
(- (/ 1/9 x) 1) |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) |
(* 3 (+ (/ 1/9 x) y)) |
(* (sqrt x) (* 3 (+ (/ 1/9 x) y))) |
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) |
(sqrt (* x (* x x))) |
(* x (* x x)) |
(/ 1/9 x) |
(* 1/3 (sqrt x)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 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 #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 (*.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 y #s(literal 3 binary64)) (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 (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)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.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)))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 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))))))) |
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) |
(fma.f64 (sqrt.f64 x) y (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(fma.f64 y (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))) |
(/.f64 #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)) y) (*.f64 y y)) (*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y y) (*.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 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))))) |
(/.f64 #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)) y) (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y y) (*.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))))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.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)))))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y y) (*.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)))))) (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 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.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))))) (sqrt.f64 x)) (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 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.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))))))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y y) (*.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))))))) (neg.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)) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.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))))) (sqrt.f64 x))) (neg.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)) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.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 (*.f64 x (sqrt.f64 x)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)) |
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.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 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))))) |
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(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 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) 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)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 1× | egg-herbie |
| 10 586× | accelerator-lowering-fma.f32 |
| 10 586× | accelerator-lowering-fma.f64 |
| 5 626× | *-lowering-*.f32 |
| 5 626× | *-lowering-*.f64 |
| 1 478× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 3145 |
| 1 | 645 | 2996 |
| 2 | 2181 | 2981 |
| 3 | 4259 | 2980 |
| 0 | 8181 | 2779 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) 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))) |
(- (* 1/9 (/ 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) |
(* 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)) |
(* 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)) |
(* 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))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (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)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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 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 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 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))))) |
(/ 1/3 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))) |
(/ (+ (* 1/3 (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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) 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 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 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 x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* 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 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) (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 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x) |
(* (sqrt x) (- y 1)) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 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) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1/9 binary64) x)) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1/9 binary64) x)) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1/9 binary64) x)) x) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #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 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 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)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.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)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.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)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.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))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.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 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.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 y #s(literal -3 binary64) #s(literal 3 binary64))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.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 y #s(literal -3 binary64) #s(literal 3 binary64))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.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 y #s(literal -3 binary64) #s(literal 3 binary64))))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(+ (* -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 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(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)))) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(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)))) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(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)))) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (*.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)))))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (*.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)))))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (*.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)))))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(*.f64 x (*.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 y #s(literal -3 binary64) #s(literal 3 binary64)))))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(*.f64 x (*.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 y #s(literal -3 binary64) #s(literal 3 binary64)))))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(*.f64 x (*.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 y #s(literal -3 binary64) #s(literal 3 binary64)))))) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(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)))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(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)))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(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)))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(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)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(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)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(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)))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(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)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(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)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(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)))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.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) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
Compiled 21 364 to 1 944 computations (90.9% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 968 | 21 | 989 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 976 | 30 | 1 006 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) | |
| 64.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) | |
| ▶ | 60.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
| ▶ | 99.1% | (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)))) |
| 84.0% | (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| 84.1% | (/.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) | |
| 82.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) x) | |
| 36.7% | (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (*.f64 x #s(literal 1/9 binary64))) (*.f64 x (fma.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) | |
| 99.4% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) | |
| 39.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) | |
| 82.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) | |
| ▶ | 99.4% | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| 99.0% | (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 64.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| ✓ | 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| 60.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 36.9% | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| 36.5% | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 64.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) | |
| 39.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) | |
| 64.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| 57.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) | |
| 2.4% | (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) | |
| 60.0% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| 64.3% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| ▶ | 26.0% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | 36.9% | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 36.4% | (*.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)) #s(literal -3 binary64)))) | |
| ▶ | 39.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 794 to 571 computations (28.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (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)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 960 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 832 | (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
| 3 664× | accelerator-lowering-fma.f32 |
| 3 664× | accelerator-lowering-fma.f64 |
| 1 408× | *-lowering-*.f32 |
| 1 408× | *-lowering-*.f64 |
| 626× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 137 |
| 1 | 44 | 131 |
| 2 | 79 | 131 |
| 3 | 149 | 131 |
| 4 | 291 | 131 |
| 5 | 393 | 131 |
| 6 | 494 | 131 |
| 7 | 734 | 131 |
| 8 | 1279 | 131 |
| 9 | 2306 | 131 |
| 10 | 3190 | 131 |
| 11 | 3548 | 131 |
| 12 | 3684 | 131 |
| 13 | 4066 | 131 |
| 14 | 4135 | 131 |
| 15 | 4349 | 131 |
| 16 | 4434 | 131 |
| 17 | 4434 | 131 |
| 18 | 4434 | 131 |
| 19 | 4434 | 131 |
| 0 | 4434 | 125 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) 3) |
(+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) |
(+ (/ 1/9 x) -1) |
(/ 1/9 x) |
1/9 |
x |
-1 |
(sqrt x) |
(* (sqrt x) y) |
y |
3 |
(* (sqrt x) -3) |
(sqrt x) |
x |
-3 |
(* 1/3 (sqrt (/ 1 x))) |
1/3 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 y))) |
(sqrt x) |
x |
-3 |
(* (sqrt x) (* 3 y)) |
(* 3 y) |
3 |
y |
(+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3))) |
1/3 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(* (sqrt x) (+ (* 3 y) -3)) |
(sqrt x) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
| Outputs |
|---|
(* (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) 3) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(+ (/ 1/9 x) -1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
x |
-1 |
#s(literal -1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
y |
3 |
#s(literal 3 binary64) |
(* (sqrt x) -3) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3 |
#s(literal -3 binary64) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3 |
#s(literal -3 binary64) |
(* (sqrt x) (* 3 y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
(+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (sqrt x) (+ (* 3 y) -3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(+ (* 3 y) -3) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (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)))) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.2% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
| ✓ | accuracy | 99.2% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 99.6% | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/9 binary64) x) |
| 51.0ms | 239× | 0 | valid |
| 4.0ms | 12× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 135 to 27 computations (80% saved)
ival-mult: 16.0ms (39.5% of total)const: 7.0ms (17.3% of total)ival-div: 6.0ms (14.8% of total)ival-add: 6.0ms (14.8% of total)ival-sqrt: 4.0ms (9.9% of total)adjust: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y))> |
#<alt (* (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) 3)> |
#<alt (+ (/ 1/9 x) -1)> |
#<alt (/ 1/9 x)> |
#<alt (* (sqrt x) -3)> |
#<alt (sqrt x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (+ (* (sqrt x) -3) (* (sqrt x) (* 3 y)))> |
#<alt (* (sqrt x) (* 3 y))> |
#<alt (* 3 y)> |
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3)))> |
#<alt (* (sqrt x) (+ (* 3 y) -3))> |
#<alt (* (sqrt x) y)> |
| Outputs |
|---|
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x)> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y)))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x)> |
#<alt (* 3 (* x (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y)))))> |
#<alt (* -3 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (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 (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 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 (* -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 (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))> |
#<alt (* -3 (sqrt x))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt 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 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<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 (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -3 (sqrt x))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* 1/3 (sqrt (/ 1 x))) |
| 0.0ms | x | @ | 0 | (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) |
| 0.0ms | y | @ | 0 | (+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3))) |
| 0.0ms | y | @ | -inf | (+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3))) |
| 0.0ms | y | @ | inf | (* 3 y) |
| 1× | batch-egg-rewrite |
| 8 982× | accelerator-lowering-fma.f32 |
| 8 982× | accelerator-lowering-fma.f64 |
| 4 644× | *-lowering-*.f32 |
| 4 644× | *-lowering-*.f64 |
| 3 726× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 99 |
| 1 | 124 | 88 |
| 2 | 1047 | 88 |
| 0 | 8671 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) |
(* (+ (* (+ (/ 1/9 x) -1) (sqrt x)) (* (sqrt x) y)) 3) |
(+ (/ 1/9 x) -1) |
(/ 1/9 x) |
(* (sqrt x) -3) |
(sqrt x) |
(* 1/3 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(+ (* (sqrt x) -3) (* (sqrt x) (* 3 y))) |
(* (sqrt x) (* 3 y)) |
(* 3 y) |
(+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3))) |
(* (sqrt x) (+ (* 3 y) -3)) |
(* (sqrt x) y) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(+.f64 (/.f64 (*.f64 x (*.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 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(-.f64 (/.f64 (*.f64 x (*.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 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)))) (/.f64 (*.f64 x (*.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 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (sqrt.f64 x) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 x (*.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 (*.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)) (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (*.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))) (sqrt.f64 x)) (/.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (/.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)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 x (*.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 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))) (neg.f64 (fma.f64 x (*.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))) (fma.f64 x (*.f64 y y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) y)))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.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 x (*.f64 y y))) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 x (*.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 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))))) (fma.f64 x (*.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))) (fma.f64 x (*.f64 y y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) y))))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x (*.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 x (*.f64 y y)))) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y y) (fma.f64 x (*.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 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) y))))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 x (*.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 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.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 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 x (*.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 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y)))) (fma.f64 x (*.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))) (fma.f64 x (*.f64 y y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) y)))))) |
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(*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (*.f64 y #s(literal 9 binary64)) #s(literal 9 binary64)) (*.f64 y #s(literal 9 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
| 1× | egg-herbie |
| 10 854× | accelerator-lowering-fma.f32 |
| 10 854× | accelerator-lowering-fma.f64 |
| 4 102× | *-lowering-*.f32 |
| 4 102× | *-lowering-*.f64 |
| 2 356× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 2312 |
| 1 | 470 | 1985 |
| 2 | 1784 | 1979 |
| 3 | 3713 | 1968 |
| 0 | 8640 | 1849 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* x (+ (* -1 (sqrt x)) (* (sqrt x) y))))) x) |
(* 3 (* x (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))))) |
(* -3 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* 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)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(/ 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))) |
(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 (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt 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)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(+ (* -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))))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 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) |
| Outputs |
|---|
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* (sqrt x) y)))) x) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64))) x) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 #s(literal 1/9 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 -1 binary64) y)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
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(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 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 (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 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 (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 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))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 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))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 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))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 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))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
Compiled 19 531 to 1 572 computations (92% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 953 | 7 | 960 |
| Fresh | 11 | 12 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 966 | 24 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 64.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) | |
| ✓ | 60.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
| 84.1% | (/.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) | |
| 39.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) | |
| 59.9% | (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| 39.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| 60.0% | (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.0% | (*.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 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) | |
| 57.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) #s(literal 3 binary64)) | |
| ▶ | 64.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| ▶ | 60.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 36.9% | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| ▶ | 36.5% | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| ▶ | 64.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
| 57.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) | |
| 64.3% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| ✓ | 26.0% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | 36.9% | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | 39.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 472 to 357 computations (24.4% saved)
| 1× | egg-herbie |
Found 19 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 | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| ✓ | 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) |
| 3 184× | accelerator-lowering-fma.f32 |
| 3 184× | accelerator-lowering-fma.f64 |
| 1 312× | *-lowering-*.f32 |
| 1 312× | *-lowering-*.f64 |
| 600× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 136 |
| 1 | 73 | 136 |
| 2 | 173 | 132 |
| 3 | 291 | 132 |
| 4 | 375 | 132 |
| 5 | 699 | 132 |
| 6 | 1261 | 132 |
| 7 | 2021 | 132 |
| 8 | 2645 | 132 |
| 9 | 2902 | 132 |
| 10 | 3023 | 132 |
| 11 | 3378 | 132 |
| 12 | 3458 | 132 |
| 13 | 3988 | 132 |
| 14 | 4180 | 132 |
| 15 | 4180 | 132 |
| 16 | 4180 | 132 |
| 17 | 4180 | 132 |
| 18 | 4180 | 132 |
| 0 | 4180 | 130 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(- (+ (* (/ 1 x) 1/9) y) 1) |
(+ (* (/ 1 x) 1/9) y) |
(/ 1 x) |
1 |
1/9 |
y |
(* (* y 3) (sqrt x)) |
(* y 3) |
y |
3 |
(sqrt x) |
x |
(* (* (sqrt x) (+ y -1)) 3) |
(* (sqrt x) (+ y -1)) |
(sqrt x) |
x |
(+ y -1) |
y |
-1 |
3 |
(* (* (sqrt x) (+ (/ 1/9 x) -1)) 3) |
(* (sqrt x) (+ (/ 1/9 x) -1)) |
(sqrt x) |
x |
(+ (/ 1/9 x) -1) |
(/ 1/9 x) |
1/9 |
-1 |
3 |
(* (* 3 (sqrt x)) (+ (* (/ 1 x) 1/9) -1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(+ (* (/ 1 x) 1/9) -1) |
(/ 1 x) |
1 |
1/9 |
-1 |
| Outputs |
|---|
(* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(- (+ (* (/ 1 x) 1/9) y) 1) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ (* (/ 1 x) 1/9) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
1/9 |
#s(literal 1/9 binary64) |
y |
(* (* y 3) (sqrt x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(* y 3) |
(*.f64 #s(literal 3 binary64) y) |
y |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* (* (sqrt x) (+ y -1)) 3) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt x) (+ y -1)) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(* (* (sqrt x) (+ (/ 1/9 x) -1)) 3) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (sqrt x) (+ (/ 1/9 x) -1)) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (/ 1/9 x) -1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(* (* 3 (sqrt x)) (+ (* (/ 1 x) 1/9) -1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (* (/ 1 x) 1/9) -1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
1/9 |
#s(literal 1/9 binary64) |
-1 |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 49.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 143 to 26 computations (81.8% saved)
ival-mult: 14.0ms (46% of total)ival-add: 5.0ms (16.4% of total)ival-div: 4.0ms (13.1% of total)const: 4.0ms (13.1% of total)ival-sqrt: 3.0ms (9.9% of total)ival-sub: 1.0ms (3.3% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ 1 x) 1/9) y)> |
#<alt (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1))> |
#<alt (* 3 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (* (* y 3) (sqrt x))> |
#<alt (* y 3)> |
#<alt (* (* (sqrt x) (+ y -1)) 3)> |
#<alt (* (sqrt x) (+ y -1))> |
#<alt (+ y -1)> |
#<alt (* (* (sqrt x) (+ (/ 1/9 x) -1)) 3)> |
#<alt (* (sqrt x) (+ (/ 1/9 x) -1))> |
#<alt (+ (/ 1/9 x) -1)> |
#<alt (* (* 3 (sqrt x)) (+ (* (/ 1 x) 1/9) -1))> |
#<alt (+ (* (/ 1 x) 1/9) -1)> |
#<alt (- (+ (* (/ 1 x) 1/9) y) 1)> |
#<alt (/ 1/9 x)> |
| Outputs |
|---|
#<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 (* 1/3 (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 (* 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) 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 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -3 (sqrt x))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (sqrt x))> |
#<alt (+ (* -1 (sqrt x)) (* (sqrt x) y))> |
#<alt (+ (* -1 (sqrt x)) (* (sqrt x) y))> |
#<alt (+ (* -1 (sqrt x)) (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))> |
#<alt (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))> |
#<alt (* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y)))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y)))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (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))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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))))))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)> |
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)> |
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (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))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 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 (/ 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)> |
#<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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (* (sqrt x) (+ y -1)) 3) |
| 1.0ms | x | @ | -inf | (* (* (sqrt x) (+ y -1)) 3) |
| 0.0ms | y | @ | inf | (* (* (sqrt x) (+ y -1)) 3) |
| 0.0ms | x | @ | inf | (* (* (sqrt x) (+ y -1)) 3) |
| 0.0ms | y | @ | -inf | (* (* (sqrt x) (+ y -1)) 3) |
| 1× | batch-egg-rewrite |
| 9 186× | accelerator-lowering-fma.f32 |
| 9 186× | accelerator-lowering-fma.f64 |
| 4 914× | *-lowering-*.f32 |
| 4 914× | *-lowering-*.f64 |
| 3 602× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 1 | 141 | 97 |
| 2 | 942 | 97 |
| 0 | 8752 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ 1 x) 1/9) y) |
(* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) |
(* 3 (sqrt x)) |
(sqrt x) |
(* (* y 3) (sqrt x)) |
(* y 3) |
(* (* (sqrt x) (+ y -1)) 3) |
(* (sqrt x) (+ y -1)) |
(+ y -1) |
(* (* (sqrt x) (+ (/ 1/9 x) -1)) 3) |
(* (sqrt x) (+ (/ 1/9 x) -1)) |
(+ (/ 1/9 x) -1) |
(* (* 3 (sqrt x)) (+ (* (/ 1 x) 1/9) -1)) |
(+ (* (/ 1 x) 1/9) -1) |
(- (+ (* (/ 1 x) 1/9) y) 1) |
(/ 1/9 x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
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(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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) |
(*.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) (+.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 (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) (-.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 (/.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 #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 (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 (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 (neg.f64 y) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #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 #s(literal 1/9 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.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 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) x) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 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))) |
| 1× | egg-herbie |
| 12 988× | accelerator-lowering-fma.f32 |
| 12 988× | accelerator-lowering-fma.f64 |
| 5 104× | *-lowering-*.f32 |
| 5 104× | *-lowering-*.f64 |
| 2 064× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1822 |
| 1 | 403 | 1767 |
| 2 | 1263 | 1767 |
| 3 | 2806 | 1765 |
| 0 | 8275 | 1691 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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))))) |
(* 1/3 (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))) |
(* 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)) |
(* 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 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* 3 (* (sqrt x) (- y 1))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* (sqrt x) (- y 1)) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (sqrt x)) |
(+ (* -1 (sqrt x)) (* (sqrt x) y)) |
(+ (* -1 (sqrt x)) (* (sqrt x) y)) |
(+ (* -1 (sqrt x)) (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y))))) |
(* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y))))) |
(* y (+ (sqrt x) (* -1 (* (sqrt x) (/ 1 y))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (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)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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)))))) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(* -1 (sqrt x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (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)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 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) |
(- (* 1/9 (/ 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) |
(/ 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 |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.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 y #s(literal 3 binary64) #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 y #s(literal 3 binary64) #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 y #s(literal 3 binary64) #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 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
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(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.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)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.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)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.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)) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #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)))))) |
(*.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)) #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)))))) |
(*.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)) #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)))))) |
(*.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)) #s(literal -3 binary64)))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ 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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(/ 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) |
Compiled 21 508 to 2 204 computations (89.8% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 185 | 4 | 1 189 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 188 | 25 | 1 213 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 64.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) | |
| ✓ | 60.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
| 84.1% | (/.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) | |
| 39.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) | |
| 59.9% | (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| 39.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| 99.0% | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 60.4% | (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) | |
| 60.0% | (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 57.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) #s(literal 3 binary64)) | |
| ✓ | 64.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| ✓ | 60.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 36.9% | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| 36.5% | (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 36.5% | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| ✓ | 64.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
| 57.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) | |
| 64.3% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| ✓ | 26.0% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | 36.9% | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | 39.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 837 to 349 computations (58.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 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 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(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 (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) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(/.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 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
(*.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)) #s(literal -3 binary64)))) |
(*.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 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (*.f64 x #s(literal 1/9 binary64))) (*.f64 x (fma.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
3 calls:
| 16.0ms | y |
| 15.0ms | (*.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))) |
| 14.0ms | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x y) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 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 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
3 calls:
| 17.0ms | (*.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))) |
| 13.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 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))) |
| 99.4% | 1 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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))) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
3 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))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 2 | x |
| 87.3% | 3 | y |
| 93.1% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 calls:
| 22.0ms | (*.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 |
|---|---|---|
| 93.0% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 y (*.f64 (sqrt.f64 x) #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 |
|---|---|---|
| 92.5% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 y (*.f64 (sqrt.f64 x) #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 |
|---|---|---|
| 92.5% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 calls:
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
3 calls:
| 28.0ms | y |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | y |
| 60.0% | 1 | x |
| 60.0% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
3 calls:
| 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 | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 3 | y |
| 42.0% | 2 | x |
| 53.8% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (*.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 |
|---|---|---|
| 26.0% | 1 | x |
| 26.0% | 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))) |
| 26.0% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.003088790753189e+152 | 2.2248272170228888e+153 |
| 0.0ms | -2.9458562217879584e+34 | -4.756458342588279e+33 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.003088790753189e+152 | 2.2248272170228888e+153 |
| 0.0ms | -2.9458562217879584e+34 | -4.756458342588279e+33 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.315450880143118e+153 | 1.1549127999458167e+154 |
| 0.0ms | -12.707395400988432 | 23.819217515214376 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.315450880143118e+153 | 1.1549127999458167e+154 |
| 0.0ms | -12.707395400988432 | 23.819217515214376 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.315450880143118e+153 | 1.1549127999458167e+154 |
| 0.0ms | -12.707395400988432 | 23.819217515214376 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 4.4032436690039134e-16 | 1.9191143123557743e-13 |
| 2.0ms | -1.779294674729707e-9 | -1.7044526162213897e-9 |
| 9.0ms | 144× | 0 | valid |
Compiled 163 to 134 computations (17.8% saved)
ival-mult: 2.0ms (32.4% of total)ival-div: 1.0ms (16.2% of total)ival-sub: 1.0ms (16.2% of total)ival-add: 1.0ms (16.2% of total)ival-sqrt: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.4032436690039134e-16 | 1.9191143123557743e-13 |
| 2.0ms | -1.779294674729707e-9 | -1.7044526162213897e-9 |
| 19.0ms | 144× | 0 | valid |
Compiled 163 to 134 computations (17.8% saved)
ival-mult: 9.0ms (55.6% of total)ival-sqrt: 4.0ms (24.7% of total)ival-div: 1.0ms (6.2% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 361 |
| 1 | 100 | 361 |
| 2 | 105 | 361 |
| 3 | 111 | 361 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.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 -19999999999999998911504619740856320 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #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 -19999999999999998911504619740856320 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(if (<=.f64 y #s(literal -2115620184325601/1208925819614629174706176 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 940834429856889/4951760157141521099596496896 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(if (<=.f64 y #s(literal -2115620184325601/1208925819614629174706176 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 940834429856889/4951760157141521099596496896 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.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 -19999999999999998911504619740856320 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -19999999999999998911504619740856320 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x)))) (if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #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 -19999999999999998911504619740856320 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -19999999999999998911504619740856320 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y))) (if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -10 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y))) (if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -10 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y))) (if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #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 -10 binary64)) (*.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 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -10 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(if (<=.f64 y #s(literal -2115620184325601/1208925819614629174706176 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 940834429856889/4951760157141521099596496896 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(if (<=.f64 y #s(literal -2115620184325601/1208925819614629174706176 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 940834429856889/4951760157141521099596496896 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| 10 586× | accelerator-lowering-fma.f32 |
| 10 586× | accelerator-lowering-fma.f64 |
| 9 212× | accelerator-lowering-fma.f32 |
| 9 212× | accelerator-lowering-fma.f64 |
| 9 186× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 135 |
| 1 | 182 | 132 |
| 2 | 1519 | 132 |
| 0 | 8388 | 125 |
| 0 | 25 | 99 |
| 1 | 124 | 88 |
| 2 | 1047 | 88 |
| 0 | 8671 | 84 |
| 0 | 212 | 3145 |
| 1 | 645 | 2996 |
| 2 | 2181 | 2981 |
| 3 | 4259 | 2980 |
| 0 | 8181 | 2779 |
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 0 | 24 | 97 |
| 1 | 141 | 97 |
| 2 | 942 | 97 |
| 0 | 8752 | 93 |
| 0 | 12 | 32 |
| 1 | 59 | 26 |
| 2 | 514 | 26 |
| 3 | 6462 | 26 |
| 0 | 8281 | 25 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 751 to 365 computations (51.4% saved)
Compiled 806 to 184 computations (77.2% saved)
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