
Time bar (total: 11.2s)
| 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)
| 848.0ms | 8 256× | 0 | valid |
| 26.0ms | 260× | 0 | invalid |
ival-mult: 258.0ms (42.2% of total)ival-sqrt: 116.0ms (19% of total)ival-add: 79.0ms (12.9% of total)ival-sub: 76.0ms (12.4% of total)ival-div: 62.0ms (10.1% of total)exact: 11.0ms (1.8% 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 |
| 42.0ms | 512× | 0 | valid |
Compiled 134 to 52 computations (61.2% saved)
ival-mult: 11.0ms (44.1% of total)ival-div: 4.0ms (16.1% of total)ival-sqrt: 4.0ms (16.1% of total)ival-sub: 2.0ms (8% of total)ival-add: 2.0ms (8% of total)ival-true: 1.0ms (4% of total)exact: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (*.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)
| 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 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (*.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 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 10.0ms (53.3% of total)ival-sub: 3.0ms (16% of total)ival-div: 2.0ms (10.7% of total)ival-sqrt: 2.0ms (10.7% of total)ival-add: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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))) 1)> |
| Outputs |
|---|
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 0.0ms | y | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1× | 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 | 34 |
| 1 | 59 | 28 |
| 2 | 514 | 28 |
| 3 | 6462 | 28 |
| 0 | 8281 | 27 |
| 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))) 1) |
| 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))) |
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.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 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.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)) (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)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (+.f64 y (+.f64 (/.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)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) 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 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 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) (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 y (+.f64 (/.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 #s(literal 1 binary64) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| 1× | egg-herbie |
| 11 070× | accelerator-lowering-fma.f32 |
| 11 070× | accelerator-lowering-fma.f64 |
| 4 714× | *-lowering-*.f32 |
| 4 714× | *-lowering-*.f64 |
| 3 382× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 612 |
| 1 | 209 | 585 |
| 2 | 666 | 585 |
| 3 | 2175 | 583 |
| 4 | 7013 | 583 |
| 0 | 9271 | 551 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
Compiled 9 704 to 859 computations (91.1% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 27 | 343 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 316 | 28 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (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 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 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))) | |
| 99.3% | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) | |
| 99.3% | (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)))) | |
| 71.5% | (/.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) | |
| ▶ | 61.9% | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ▶ | 99.3% | (/.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))))) |
| 61.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))))) | |
| 99.4% | (+.f64 (*.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)))) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| ▶ | 99.3% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| 61.8% | (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) | |
| 58.4% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 63.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) | |
| 96.2% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)) | |
| 39.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) | |
| 99.3% | (*.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))) | |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.3% | (*.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))) |
| 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| 60.2% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| ▶ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
| 63.7% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| 68.0% | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| ▶ | 38.3% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| 39.3% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 978 to 662 computations (32.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
| ✓ | cost-diff | 2880 | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y (+.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 | 1216 | (/.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))))) |
| ✓ | 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)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
| 9 240× | accelerator-lowering-fma.f32 |
| 9 240× | accelerator-lowering-fma.f64 |
| 3 082× | *-lowering-*.f32 |
| 3 082× | *-lowering-*.f64 |
| 2 746× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 224 |
| 1 | 92 | 224 |
| 2 | 275 | 224 |
| 3 | 894 | 224 |
| 4 | 3862 | 224 |
| 5 | 5697 | 224 |
| 0 | 8358 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x))) |
(sqrt x) |
x |
(+ (+ (* 3 y) -3) (/ 1/3 x)) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
(/ 1/3 x) |
1/3 |
(* 3 (* (sqrt x) y)) |
3 |
(* (sqrt x) y) |
(sqrt x) |
x |
y |
(* (* (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 |
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1)))) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(/ 1 (+ y (+ (/ 1/9 x) -1))) |
1 |
(+ y (+ (/ 1/9 x) -1)) |
y |
(+ (/ 1/9 x) -1) |
(/ 1/9 x) |
1/9 |
-1 |
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) |
(sqrt x) |
x |
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)) |
3 |
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1) |
(+ (/ 1/9 x) y) |
(/ 1/9 x) |
1/9 |
y |
-1 |
(+ 1 (+ (/ 1/9 x) y)) |
1 |
| Outputs |
|---|
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (+ (* 3 y) -3) (/ 1/3 x)) |
(fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)) |
(+ (* 3 y) -3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
3 |
#s(literal 3 binary64) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))) |
(* (sqrt x) (+ y (+ (/ 1/9 x) -1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ y (+ (/ 1/9 x) -1)) |
(+.f64 #s(literal -1 binary64) (+.f64 y (/.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) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ 1 (+ y (+ (/ 1/9 x) -1))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ y (+ (/ 1/9 x) -1)) |
(+.f64 #s(literal -1 binary64) (+.f64 y (/.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) |
-1 |
#s(literal -1 binary64) |
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))) |
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 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 |
-1 |
#s(literal -1 binary64) |
(+ 1 (+ (/ 1/9 x) y)) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 94.1% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
| ✓ | accuracy | 68.0% | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.6% | (/.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))))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.7% | (*.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 | 99.3% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| 54.0ms | 213× | 0 | valid |
| 12.0ms | 24× | 1 | valid |
| 12.0ms | 19× | 2 | valid |
Compiled 235 to 33 computations (86% saved)
ival-mult: 16.0ms (31.7% of total)ival-div: 11.0ms (21.8% of total)ival-add: 11.0ms (21.8% of total)const: 7.0ms (13.9% of total)adjust: 3.0ms (5.9% of total)ival-sqrt: 2.0ms (4% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))> |
#<alt (sqrt x)> |
#<alt (+ (+ (* 3 y) -3) (/ 1/3 x))> |
#<alt (+ (* 3 y) -3)> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)> |
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))> |
#<alt (+ y (+ (/ 1/9 x) -1))> |
#<alt (/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1))))> |
#<alt (* 3 (sqrt x))> |
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))> |
#<alt (/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))> |
#<alt (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))> |
#<alt (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)))> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/9 x)> |
#<alt (+ (/ 1/9 x) -1)> |
#<alt (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)> |
| Outputs |
|---|
#<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 (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt -3> |
#<alt (- (* 3 y) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 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 (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)> |
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))> |
#<alt (* 9 x)> |
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))> |
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))> |
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))> |
#<alt (/ 1 (- y 1))> |
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))> |
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))> |
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))> |
#<alt (/ 1 (- y 1))> |
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))> |
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x)> |
#<alt (* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))))> |
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2))))))))> |
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))> |
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))))> |
#<alt (* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))> |
#<alt (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))> |
#<alt (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))))> |
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))))))> |
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))> |
#<alt (/ 1/27 (pow x 2))> |
#<alt (/ (+ 1/27 (* 2/3 (* x y))) (pow x 2))> |
#<alt (/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))> |
#<alt (/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))> |
#<alt (* 3 (- (pow y 2) 1))> |
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))> |
#<alt (+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))> |
#<alt (+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))> |
#<alt (* 3 (- (pow y 2) 1))> |
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))> |
#<alt (+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))> |
#<alt (+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))> |
#<alt (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1))> |
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)))> |
#<alt (+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))> |
#<alt (+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))> |
#<alt (* 3 (pow y 2))> |
#<alt (* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))> |
#<alt (* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))> |
#<alt (* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))> |
#<alt (* 3 (pow y 2))> |
#<alt (* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))> |
#<alt (* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))> |
#<alt (* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))> |
#<alt (* 1/27 (sqrt (/ 1 (pow x 3))))> |
#<alt (/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2))> |
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))> |
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))> |
#<alt (* 3 (* (sqrt x) (- (pow y 2) 1)))> |
#<alt (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))> |
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))> |
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))> |
#<alt (* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))> |
#<alt (+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))> |
#<alt (* 3 (* (sqrt x) (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))> |
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))> |
#<alt (* 3 (* (sqrt x) (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/9 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 (/ 1/9 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 (/ 1/81 (pow x 2))> |
#<alt (/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))> |
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))> |
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))> |
#<alt (- (pow y 2) 1)> |
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)> |
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)> |
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)> |
#<alt (- (pow y 2) 1)> |
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)> |
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)> |
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)> |
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)> |
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)> |
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))> |
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (+ (/ 1/9 x) -1) |
| 5.0ms | x | @ | inf | (/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
| 4.0ms | x | @ | -inf | (/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
| 2.0ms | x | @ | -inf | (* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x))) |
| 2.0ms | y | @ | 0 | (/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
| 1× | batch-egg-rewrite |
| 5 412× | /-lowering-/.f32 |
| 5 412× | /-lowering-/.f64 |
| 4 456× | accelerator-lowering-fma.f32 |
| 4 456× | accelerator-lowering-fma.f64 |
| 3 484× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 159 |
| 1 | 210 | 159 |
| 2 | 1969 | 159 |
| 0 | 8575 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x))) |
(sqrt x) |
(+ (+ (* 3 y) -3) (/ 1/3 x)) |
(+ (* 3 y) -3) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3) |
(* (sqrt x) (+ y (+ (/ 1/9 x) -1))) |
(+ y (+ (/ 1/9 x) -1)) |
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1)))) |
(* 3 (sqrt x)) |
(/ 1 (+ y (+ (/ 1/9 x) -1))) |
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y))) |
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)) |
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) |
(/ 1/3 x) |
(/ 1/9 x) |
(+ (/ 1/9 x) -1) |
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
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(/.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (neg.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (pow.f64 (fma.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64))) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 (fma.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (fma.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64))) (fma.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x #s(literal 9 binary64)))) (*.f64 y (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 10 130× | accelerator-lowering-fma.f32 |
| 10 130× | accelerator-lowering-fma.f64 |
| 8 040× | *-lowering-*.f32 |
| 8 040× | *-lowering-*.f64 |
| 3 234× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 5845 |
| 1 | 2146 | 5522 |
| 2 | 6833 | 5481 |
| 0 | 8104 | 5224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
-3 |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 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)))))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* 9 x) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))) |
(* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) |
(+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 2/3 (* x y))) (pow x 2)) |
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2)) |
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2)) |
(* 3 (- (pow y 2) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1))) |
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2)))) |
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2)))) |
(* 3 (- (pow y 2) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1))) |
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x))))) |
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y))))) |
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y))))) |
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y))))) |
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y)))) |
(* 1/27 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(* 3 (* (sqrt x) (- (pow y 2) 1))) |
(* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) |
(+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(* 3 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(* 3 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/9 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) |
(/ 1/9 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) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2)) |
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2)) |
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2)) |
(- (pow y 2) 1) |
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1) |
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1) |
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1) |
(- (pow y 2) 1) |
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1) |
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1) |
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1) |
(- (* 1/81 (/ 1 (pow x 2))) 1) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y))))) |
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y))))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y)))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 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)))) |
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
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(* 1/27 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64)) |
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 y #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/27 binary64))) (*.f64 x x)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 2/3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/27 binary64))) (*.f64 x x)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 2/3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/27 binary64))) (*.f64 x x)) |
(* 3 (* (sqrt x) (- (pow y 2) 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) |
(* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y #s(literal 2/3 binary64))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y #s(literal 2/3 binary64)))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y #s(literal 2/3 binary64)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) |
(* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -2/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 2/3 binary64)))) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 2/3 binary64)))) x)))) |
(* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64))) |
(+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64)))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64)))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) (pow y 2))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) y))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) y))) |
(* 3 (* (sqrt x) (pow y 2))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 3 binary64)) y))) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 3 binary64)) y))) y))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 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) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 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) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/81 (pow x 2)) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2)) |
(/.f64 (fma.f64 x (*.f64 y #s(literal 2/9 binary64)) #s(literal 1/81 binary64)) (*.f64 x x)) |
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y y #s(literal -1 binary64)) (*.f64 y #s(literal 2/9 binary64))) #s(literal 1/81 binary64)) (*.f64 x x)) |
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y y #s(literal -1 binary64)) (*.f64 y #s(literal 2/9 binary64))) #s(literal 1/81 binary64)) (*.f64 x x)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1) |
(fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1) |
(fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1) |
(-.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -2/9 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) |
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1) |
(-.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -2/9 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) |
(- (* 1/81 (/ 1 (pow x 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y)))) |
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 x y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y))))) |
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 x y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y))))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y)))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) y)) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y)))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) y)) y))) |
Compiled 39 875 to 3 535 computations (91.1% saved)
36 alts after pruning (35 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 498 | 29 | 1 527 |
| Fresh | 16 | 6 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 519 | 36 | 1 555 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) | |
| ▶ | 99.4% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
| 99.4% | (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| ▶ | 71.5% | (/.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) |
| 61.3% | (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 43.5% | (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y)) | |
| 61.9% | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) | |
| 38.3% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) | |
| 39.3% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) | |
| 71.6% | (*.f64 (/.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) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) #s(literal 3 binary64)) | |
| 84.5% | (*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y)) | |
| ▶ | 39.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
| 96.2% | (*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64)) | |
| 39.2% | (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| 75.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) | |
| 63.6% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| 88.5% | (*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64)) | |
| 38.3% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| 39.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) | |
| ▶ | 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
| 60.2% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| 96.2% | (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) | |
| 72.1% | (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))) | |
| 39.3% | (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) | |
| ▶ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
| 63.7% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| 75.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) | |
| 99.4% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) | |
| 81.1% | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) | |
| 68.0% | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| ✓ | 38.3% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| 39.3% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 060 to 764 computations (27.9% 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #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 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 x) x) |
| ✓ | cost-diff | 832 | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
| 564× | accelerator-lowering-fma.f32 |
| 564× | accelerator-lowering-fma.f64 |
| 418× | *-lowering-*.f32 |
| 418× | *-lowering-*.f64 |
| 210× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 180 |
| 1 | 73 | 170 |
| 2 | 148 | 170 |
| 3 | 184 | 170 |
| 4 | 260 | 170 |
| 5 | 294 | 170 |
| 6 | 312 | 170 |
| 7 | 320 | 170 |
| 8 | 331 | 170 |
| 9 | 333 | 170 |
| 10 | 334 | 170 |
| 11 | 356 | 170 |
| 12 | 453 | 170 |
| 13 | 561 | 170 |
| 0 | 561 | 159 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3))) |
(/ (sqrt x) x) |
(sqrt x) |
x |
1/3 |
(* (sqrt x) (+ (* 3 y) -3)) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
(* (* 3 y) (sqrt x)) |
(* 3 y) |
3 |
y |
(sqrt x) |
x |
(* (* (sqrt (/ 1 x)) 1/9) 3) |
(* (sqrt (/ 1 x)) 1/9) |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
1/9 |
3 |
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3)))) |
(sqrt x) |
x |
(+ (+ (* 3 y) -3) (/ 1 (* x 3))) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
(/ 1 (* x 3)) |
1 |
(* x 3) |
(/ (+ (* (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) x) 1/3) (* (sqrt x) (+ (* 3 y) -3))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(/ (sqrt x) x) |
(/.f64 (sqrt.f64 x) x) |
(sqrt x) |
(sqrt.f64 x) |
x |
1/3 |
#s(literal 1/3 binary64) |
(* (sqrt x) (+ (* 3 y) -3)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(+ (* 3 y) -3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
(* (* 3 y) (sqrt x)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
y |
(sqrt x) |
(sqrt.f64 x) |
x |
(* (* (sqrt (/ 1 x)) 1/9) 3) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) 1/9) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 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 |
1/9 |
#s(literal 1/9 binary64) |
3 |
#s(literal 3 binary64) |
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (+ (* 3 y) -3) (/ 1 (* x 3))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 y) -3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
(/ 1 (* x 3)) |
(/.f64 #s(literal 1/3 binary64) x) |
1 |
#s(literal 1 binary64) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x))))) |
(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 #s(literal 3 binary64) y #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 | 98.2% | (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 | 83.9% | (/.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 | 77.7% | (sqrt.f64 (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (sqrt.f64 x) x) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| 122.0ms | 223× | 0 | valid |
| 7.0ms | 18× | 1 | valid |
| 7.0ms | 14× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 179 to 32 computations (82.1% saved)
ival-mult: 56.0ms (66.3% of total)ival-div: 8.0ms (9.5% of total)const: 7.0ms (8.3% of total)ival-sqrt: 7.0ms (8.3% of total)ival-add: 5.0ms (5.9% of total)adjust: 2.0ms (2.4% 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) x) 1/3) (* (sqrt x) (+ (* 3 y) -3)))> |
#<alt (/ (sqrt x) x)> |
#<alt (sqrt x)> |
#<alt (* (sqrt x) (+ (* 3 y) -3))> |
#<alt (* (* 3 y) (sqrt x))> |
#<alt (* 3 y)> |
#<alt (* (* (sqrt (/ 1 x)) 1/9) 3)> |
#<alt (* (sqrt (/ 1 x)) 1/9)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ 1 (* x 3))> |
#<alt (* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3))))> |
#<alt (+ (+ (* 3 y) -3) (/ 1 (* x 3)))> |
#<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 (* 1/3 (sqrt x))> |
| Outputs |
|---|
#<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 (/ 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 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 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 (* (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 (* 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 (* 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 (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/9 (* (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 (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* 1/3 (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 (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (* 1/3 (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 (* 1/3 (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)))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | x | @ | -inf | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | x | @ | inf | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | x | @ | 0 | (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) |
| 1.0ms | x | @ | -inf | (+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3))) |
| 1× | batch-egg-rewrite |
| 5 316× | *-lowering-*.f32 |
| 5 316× | *-lowering-*.f64 |
| 4 478× | accelerator-lowering-fma.f32 |
| 4 478× | accelerator-lowering-fma.f64 |
| 4 442× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 131 |
| 1 | 157 | 112 |
| 2 | 1385 | 112 |
| 0 | 8760 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3))) |
(/ (sqrt x) x) |
(sqrt x) |
(* (sqrt x) (+ (* 3 y) -3)) |
(* (* 3 y) (sqrt x)) |
(* 3 y) |
(* (* (sqrt (/ 1 x)) 1/9) 3) |
(* (sqrt (/ 1 x)) 1/9) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ 1 (* x 3)) |
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3)))) |
(+ (+ (* 3 y) -3) (/ 1 (* x 3))) |
(/ (+ (* (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)) |
(* 1/3 (sqrt x)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+.f64 (*.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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (*.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 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
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| 1× | egg-herbie |
| 11 878× | accelerator-lowering-fma.f32 |
| 11 878× | accelerator-lowering-fma.f64 |
| 4 568× | *-lowering-*.f32 |
| 4 568× | *-lowering-*.f64 |
| 2 604× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 2685 |
| 1 | 403 | 2496 |
| 2 | 1355 | 2464 |
| 3 | 2927 | 2456 |
| 4 | 7978 | 2456 |
| 0 | 8540 | 2266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 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))) |
(* (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)))))) |
(* 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) |
(* 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))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (sqrt (/ 1 x))) |
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/9 (* (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) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (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)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* 1/3 (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) |
(* 1/3 (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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) 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) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 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))))) |
(* 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))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.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))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 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))))) |
(* -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 #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))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 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))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) 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))))) |
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(* 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 35 562 to 2 483 computations (93% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 363 | 15 | 1 378 |
| Fresh | 20 | 10 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 386 | 28 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| 80.4% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) | |
| 63.7% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 32.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x) | |
| ▶ | 24.9% | (/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x) |
| 61.9% | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) | |
| 39.3% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) | |
| 39.3% | (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) | |
| ▶ | 39.4% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 39.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| 39.3% | (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) | |
| 99.4% | (*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| 39.3% | (*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| 39.2% | (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| 75.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| 63.6% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| ▶ | 38.3% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) | |
| 38.2% | (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x))) | |
| ✓ | 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
| 2.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) | |
| 60.2% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| 96.2% | (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) | |
| ✓ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
| 63.7% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| ▶ | 75.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 38.3% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
Compiled 631 to 459 computations (27.3% saved)
| 1× | egg-herbie |
Found 18 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 | (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| 122× | *-lowering-*.f32 |
| 122× | *-lowering-*.f64 |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 44× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 120 |
| 1 | 48 | 120 |
| 2 | 86 | 120 |
| 3 | 124 | 120 |
| 4 | 140 | 120 |
| 0 | 140 | 115 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) |
(+ (* 3 y) -3) |
3 |
y |
-3 |
(sqrt x) |
x |
(/ 1/3 (sqrt x)) |
1/3 |
(* (* (sqrt x) 3) y) |
(* (sqrt x) 3) |
(sqrt x) |
x |
3 |
y |
(/ 1 (* (sqrt x) 3)) |
1 |
(* (sqrt x) 3) |
(sqrt x) |
x |
3 |
(* (sqrt x) (+ (* 3 y) (/ 1/3 x))) |
(sqrt x) |
x |
(+ (* 3 y) (/ 1/3 x)) |
(* 3 y) |
3 |
y |
(/ 1/3 x) |
1/3 |
(/ (* (sqrt (* x (* x x))) (* 3 y)) x) |
(* (sqrt (* x (* x x))) (* 3 y)) |
(sqrt (* x (* x x))) |
(* x (* x x)) |
x |
(* x x) |
(* 3 y) |
3 |
y |
| Outputs |
|---|
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+ (* 3 y) -3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
3 |
#s(literal 3 binary64) |
y |
-3 |
#s(literal -3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ 1/3 (sqrt x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(* (* (sqrt x) 3) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(* (sqrt x) 3) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3 |
#s(literal 3 binary64) |
y |
(/ 1 (* (sqrt x) 3)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 3) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(* (sqrt x) (+ (* 3 y) (/ 1/3 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (* 3 y) (/ 1/3 x)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
y |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
(/ (* (sqrt (* x (* x x))) (* 3 y)) x) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x)))) x) |
(* (sqrt (* x (* x x))) (* 3 y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(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) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 87.0% | (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 79.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x) |
| ✓ | accuracy | 77.7% | (sqrt.f64 (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 44.0ms | 220× | 0 | valid |
| 7.0ms | 15× | 2 | valid |
| 6.0ms | 17× | 1 | valid |
| 2.0ms | 4× | 3 | valid |
Compiled 129 to 25 computations (80.6% saved)
ival-mult: 15.0ms (39% of total)ival-div: 8.0ms (20.8% of total)ival-add: 6.0ms (15.6% of total)const: 4.0ms (10.4% of total)ival-sqrt: 4.0ms (10.4% of total)adjust: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))> |
#<alt (+ (* 3 y) -3)> |
#<alt (sqrt x)> |
#<alt (/ 1/3 (sqrt x))> |
#<alt (* (* (sqrt x) 3) y)> |
#<alt (* (sqrt x) 3)> |
#<alt (/ 1 (* (sqrt x) 3))> |
#<alt (+ (* 3 y) (/ 1/3 x))> |
#<alt (* (sqrt x) (+ (* 3 y) (/ 1/3 x)))> |
#<alt (* 3 y)> |
#<alt (/ (* (sqrt (* x (* x x))) (* 3 y)) x)> |
#<alt (* (sqrt (* x (* x x))) (* 3 y))> |
#<alt (sqrt (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (/ 1/3 x)> |
| Outputs |
|---|
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (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)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt -3> |
#<alt (- (* 3 y) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* y (- 3 (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))> |
#<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)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 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)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 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 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 (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 (* 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))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) y))> |
#<alt (* 3 (* (sqrt (pow x 3)) 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 (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) |
| 5.0ms | x | @ | 0 | (* (sqrt x) (+ (* 3 y) (/ 1/3 x))) |
| 1.0ms | y | @ | 0 | (* (sqrt (* x (* x x))) (* 3 y)) |
| 0.0ms | y | @ | inf | (* (sqrt (* x (* x x))) (* 3 y)) |
| 0.0ms | x | @ | -inf | (/ 1/3 (sqrt x)) |
| 1× | batch-egg-rewrite |
| 10 600× | accelerator-lowering-fma.f32 |
| 10 600× | accelerator-lowering-fma.f64 |
| 5 578× | *-lowering-*.f32 |
| 5 578× | *-lowering-*.f64 |
| 3 562× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 82 |
| 1 | 117 | 80 |
| 2 | 836 | 80 |
| 0 | 8525 | 75 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) |
(+ (* 3 y) -3) |
(sqrt x) |
(/ 1/3 (sqrt x)) |
(* (* (sqrt x) 3) y) |
(* (sqrt x) 3) |
(/ 1 (* (sqrt x) 3)) |
(+ (* 3 y) (/ 1/3 x)) |
(* (sqrt x) (+ (* 3 y) (/ 1/3 x))) |
(* 3 y) |
(/ (* (sqrt (* x (* x x))) (* 3 y)) x) |
(* (sqrt (* x (* x x))) (* 3 y)) |
(sqrt (* x (* x x))) |
(* x (* x x)) |
(/ 1/3 x) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 y x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 x (*.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 3 binary64) y) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 y #s(literal 9 binary64)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 y x))) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 y (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x)))) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) x) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))))) |
(neg.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y (*.f64 x (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) x)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (neg.f64 (*.f64 y #s(literal -3 binary64)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x)))) y) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(fabs.f64 (*.f64 x (sqrt.f64 x))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(*.f64 x (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) x)) |
(*.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 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 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 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(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 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 15 600× | accelerator-lowering-fma.f32 |
| 15 600× | accelerator-lowering-fma.f64 |
| 5 164× | *-lowering-*.f32 |
| 5 164× | *-lowering-*.f64 |
| 1 744× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1810 |
| 1 | 298 | 1731 |
| 2 | 983 | 1727 |
| 3 | 2882 | 1727 |
| 4 | 6821 | 1727 |
| 0 | 8529 | 1643 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -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 (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)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
-3 |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(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))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 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 (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))) |
(* 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))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 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 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 (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)))))) |
(* 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)) |
(* 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 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* 3 (* (sqrt (pow x 3)) 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) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
| Outputs |
|---|
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 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 (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 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 #s(literal 3 binary64) y #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 #s(literal 3 binary64) y #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 #s(literal 3 binary64) y #s(literal -3 binary64)))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 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))))) |
(* 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))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 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))))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 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))))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 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))))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* y (- 3 (* 3 (/ 1 y)))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* y (- 3 (* 3 (/ 1 y)))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(fma.f64 #s(literal 3 binary64) y #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) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 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 (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) 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)) |
(*.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))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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)) (*.f64 #s(literal 3 binary64) y)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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)) (*.f64 #s(literal 3 binary64) y)))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 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) 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 (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) |
(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)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
Compiled 21 348 to 2 029 computations (90.5% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 375 | 9 | 1 384 |
| Fresh | 2 | 18 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 379 | 33 | 1 412 |
| Status | Accuracy | Program |
|---|---|---|
| 80.4% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) | |
| 63.7% | (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 75.6% | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 63.8% | (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 31.7% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x) | |
| 32.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x) | |
| 61.9% | (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) | |
| 38.3% | (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) | |
| 39.3% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) | |
| 39.3% | (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) | |
| ✓ | 39.4% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 39.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| 75.5% | (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 39.3% | (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) | |
| 38.3% | (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) | |
| 99.4% | (*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| 39.3% | (*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 39.2% | (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| 75.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| 63.6% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) | |
| ✓ | 38.3% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| 31.7% | (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x)) | |
| 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) | |
| ✓ | 38.3% | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
| 2.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) | |
| 60.2% | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| 96.2% | (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) | |
| ✓ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
| 63.7% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| 75.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) | |
| ✓ | 75.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 38.3% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| 2.2% | (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
Compiled 1 419 to 531 computations (62.6% saved)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x) |
(*.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 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64)) |
(/.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) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(+.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)))) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) #s(literal 3 binary64)) |
(*.f64 (/.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) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y)) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (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 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #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))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
3 calls:
| 25.0ms | x |
| 25.0ms | (*.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))) |
| 24.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x) |
(*.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 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
3 calls:
| 19.0ms | (*.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))) |
| 15.0ms | y |
| 15.0ms | 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 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
3 calls:
| 17.0ms | x |
| 12.0ms | y |
| 11.0ms | (*.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 |
|---|---|---|
| 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 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
3 calls:
| 9.0ms | (*.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))) |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | y |
| 97.9% | 2 | x |
| 97.7% | 2 | (*.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 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))) |
3 calls:
| 25.0ms | x |
| 7.0ms | (*.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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 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))) |
| 89.1% | 3 | y |
| 86.3% | 2 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 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 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
| 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 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 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 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
3 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 1 | x |
| 60.2% | 1 | y |
| 60.2% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
3 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))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | x |
| 38.3% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 38.3% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
3 calls:
| 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 | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.2% | 1 | x |
| 2.2% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.2% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.010629906978348936 | 0.11753418502743809 |
| 8.0ms | 96× | 0 | valid |
Compiled 151 to 119 computations (21.2% saved)
ival-mult: 2.0ms (48.3% of total)ival-div: 1.0ms (24.2% of total)ival-sqrt: 1.0ms (24.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.927935877400024e+152 | 3.2311666922173584e+156 |
| 0.0ms | -9.56356338889936e+20 | -2.7713862050222336e+20 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.927935877400024e+152 | 3.2311666922173584e+156 |
| 0.0ms | -9.56356338889936e+20 | -2.7713862050222336e+20 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.927935877400024e+152 | 3.2311666922173584e+156 |
| 0.0ms | -0.056205921751951764 | 2.9237575315513435 |
Compiled 19 to 17 computations (10.5% saved)
| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 4× | unsub-neg_binary64 |
| 4× | sub-neg_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 237 |
| 1 | 75 | 237 |
| 2 | 79 | 237 |
| 3 | 82 | 237 |
| 4 | 85 | 237 |
| 5 | 88 | 237 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (*.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 -500000000000000000000 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -500000000000000000000 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -500000000000000000000 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -500000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -500000000000000000000 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -500000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))) |
(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 -3602879701896397/72057594037927936 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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y (sqrt.f64 x))) |
| 15 600× | accelerator-lowering-fma.f32 |
| 15 600× | accelerator-lowering-fma.f64 |
| 11 878× | accelerator-lowering-fma.f32 |
| 11 878× | accelerator-lowering-fma.f64 |
| 11 070× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1810 |
| 1 | 298 | 1731 |
| 2 | 983 | 1727 |
| 3 | 2882 | 1727 |
| 4 | 6821 | 1727 |
| 0 | 8529 | 1643 |
| 0 | 31 | 159 |
| 1 | 210 | 159 |
| 2 | 1969 | 159 |
| 0 | 8575 | 153 |
| 0 | 12 | 34 |
| 1 | 59 | 28 |
| 2 | 514 | 28 |
| 3 | 6462 | 28 |
| 0 | 8281 | 27 |
| 0 | 700 | 5845 |
| 1 | 2146 | 5522 |
| 2 | 6833 | 5481 |
| 0 | 8104 | 5224 |
| 0 | 79 | 612 |
| 1 | 209 | 585 |
| 2 | 666 | 585 |
| 3 | 2175 | 583 |
| 4 | 7013 | 583 |
| 0 | 9271 | 551 |
| 0 | 138 | 2685 |
| 1 | 403 | 2496 |
| 2 | 1355 | 2464 |
| 3 | 2927 | 2456 |
| 4 | 7978 | 2456 |
| 0 | 8540 | 2266 |
| 0 | 23 | 82 |
| 1 | 117 | 80 |
| 2 | 836 | 80 |
| 0 | 8525 | 75 |
| 0 | 30 | 131 |
| 1 | 157 | 112 |
| 2 | 1385 | 112 |
| 0 | 8760 | 104 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 528 to 270 computations (48.9% saved)
Compiled 548 to 154 computations (71.9% saved)
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