
Time bar (total: 8.7s)
| 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 |
| 100% | 50% | 0% | 0.1% | 0% | 50% | 0% | 2 |
Compiled 16 to 14 computations (12.5% saved)
| 562.0ms | 8 256× | 0 | valid |
ival-div: 119.0ms (31.9% of total)ival-mult: 107.0ms (28.6% of total)ival-sub: 70.0ms (18.7% of total)ival-sqrt: 58.0ms (15.5% of total)exact: 10.0ms (2.7% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 736× | accelerator-lowering-fma.f32 |
| 736× | accelerator-lowering-fma.f64 |
| 560× | times-frac |
| 400× | *-lowering-*.f32 |
| 400× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 80 | 64 |
| 2 | 237 | 62 |
| 3 | 650 | 62 |
| 4 | 1488 | 62 |
| 5 | 2867 | 62 |
| 6 | 3479 | 62 |
| 7 | 3590 | 62 |
| 8 | 3622 | 62 |
| 9 | 3626 | 62 |
| 10 | 3626 | 62 |
| 11 | 3630 | 62 |
| 0 | 12 | 14 |
| 1 | 26 | 12 |
| 2 | 64 | 12 |
| 3 | 140 | 12 |
| 4 | 262 | 12 |
| 5 | 501 | 12 |
| 6 | 999 | 12 |
| 7 | 1265 | 12 |
| 8 | 1354 | 12 |
| 9 | 1368 | 12 |
| 10 | 1371 | 12 |
| 0 | 1371 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| Outputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 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 |
| 57.0ms | 512× | 0 | valid |
Compiled 128 to 52 computations (59.4% saved)
ival-div: 24.0ms (60.6% of total)ival-mult: 6.0ms (15.2% of total)ival-sub: 4.0ms (10.1% of total)ival-sqrt: 4.0ms (10.1% of total)exact: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 736× | accelerator-lowering-fma.f32 |
| 736× | accelerator-lowering-fma.f64 |
| 400× | *-lowering-*.f32 |
| 400× | *-lowering-*.f64 |
| 186× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 1 | 26 | 40 |
| 2 | 64 | 40 |
| 3 | 140 | 40 |
| 4 | 262 | 40 |
| 5 | 501 | 40 |
| 6 | 999 | 40 |
| 7 | 1265 | 40 |
| 8 | 1354 | 40 |
| 9 | 1368 | 40 |
| 10 | 1371 | 40 |
| 0 | 1371 | 39 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
(- 1 (/ 1 (* x 9))) |
1 |
(/ 1 (* x 9)) |
(* x 9) |
x |
9 |
(/ y (* 3 (sqrt x))) |
y |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
| Outputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
(- 1 (/ 1 (* x 9))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
x |
9 |
#s(literal 9 binary64) |
(/ y (* 3 (sqrt x))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | 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)) |
| 51.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-sub: 32.0ms (77.9% of total)ival-div: 3.0ms (7.3% of total)ival-mult: 3.0ms (7.3% of total)ival-sqrt: 2.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* x 9))> |
#<alt (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))> |
#<alt (- 1 (/ 1 (* x 9)))> |
#<alt (* x 9)> |
#<alt (* 3 (sqrt x))> |
#<alt (/ y (* 3 (sqrt x)))> |
| 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | 0 | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 0.0ms | y | @ | 0 | (/ y (* 3 (sqrt x))) |
| 1× | batch-egg-rewrite |
| 8 710× | accelerator-lowering-fma.f32 |
| 8 710× | accelerator-lowering-fma.f64 |
| 5 066× | *-lowering-*.f32 |
| 5 066× | *-lowering-*.f64 |
| 4 668× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 67 | 33 |
| 2 | 782 | 33 |
| 0 | 8398 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x 9)) |
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
(- 1 (/ 1 (* x 9))) |
(* x 9) |
(* 3 (sqrt x)) |
(/ y (* 3 (sqrt x))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 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 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.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 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.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 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 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 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.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 (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 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 x #s(literal 9 binary64)))))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
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(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.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))) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal -9 binary64) (neg.f64 x)) |
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal -9 binary64)) |
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x)))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 7 662× | accelerator-lowering-fma.f32 |
| 7 662× | accelerator-lowering-fma.f64 |
| 2 338× | *-lowering-*.f32 |
| 2 338× | *-lowering-*.f64 |
| 1 352× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1976 | 659 |
| 5 | 3988 | 659 |
| 6 | 5217 | 659 |
| 7 | 6399 | 659 |
| 8 | 7521 | 659 |
| 9 | 7907 | 659 |
| 0 | 8011 | 638 |
| 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
| 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
Compiled 16 132 to 1 283 computations (92% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 17 | 523 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 506 | 18 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) | |
| 99.5% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| ▶ | 70.1% | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
| 67.1% | (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| 80.2% | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 64.3% | (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))) | |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) | |
| ✓ | 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) | |
| 99.4% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 95.5% | (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) | |
| ▶ | 58.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| 43.1% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
Compiled 584 to 414 computations (29.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))) |
| ✓ | cost-diff | 1856 | (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 320 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
| 1 008× | accelerator-lowering-fma.f32 |
| 1 008× | accelerator-lowering-fma.f64 |
| 544× | *-lowering-*.f32 |
| 544× | *-lowering-*.f64 |
| 248× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 1 | 78 | 159 |
| 2 | 184 | 159 |
| 3 | 392 | 159 |
| 4 | 757 | 159 |
| 5 | 1136 | 159 |
| 6 | 1656 | 157 |
| 7 | 2314 | 157 |
| 8 | 2345 | 157 |
| 9 | 2345 | 157 |
| 0 | 2345 | 153 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) |
(- 1 (/ 1 (* x 9))) |
1 |
(/ 1 (* x 9)) |
(* x 9) |
x |
9 |
(/ (/ y (sqrt x)) 3) |
(/ y (sqrt x)) |
y |
(sqrt x) |
3 |
(+ 1 (/ -1/9 x)) |
1 |
(/ -1/9 x) |
-1/9 |
x |
(+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(* y -1/3) |
y |
-1/3 |
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) |
(- 1 (/ (/ 1 x) 9)) |
1 |
(/ (/ 1 x) 9) |
(/ 1 x) |
x |
9 |
(/ y (* 3 (sqrt x))) |
y |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
(- (- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) (/ y (* 3 (sqrt x)))) |
(- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) |
1 |
(/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9)) |
(* (* (neg (sqrt x)) (neg (sqrt x))) 9) |
(* (neg (sqrt x)) (neg (sqrt x))) |
(neg (sqrt x)) |
(sqrt x) |
x |
9 |
(/ y (* 3 (sqrt x))) |
y |
(* 3 (sqrt x)) |
3 |
| Outputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (/ 1 (* x 9))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
x |
9 |
#s(literal 9 binary64) |
(/ (/ y (sqrt x)) 3) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/ y (sqrt x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt x) |
(sqrt.f64 x) |
3 |
#s(literal 3 binary64) |
(+ 1 (/ -1/9 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
-1/9 |
#s(literal -1/9 binary64) |
x |
(+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 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 |
(* y -1/3) |
(*.f64 y #s(literal -1/3 binary64)) |
y |
-1/3 |
#s(literal -1/3 binary64) |
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (/ (/ 1 x) 9)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 x) 9) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
9 |
#s(literal 9 binary64) |
(/ y (* 3 (sqrt x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
y |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) (/ y (* 3 (sqrt x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* (* (neg (sqrt x)) (neg (sqrt x))) 9) |
(*.f64 x #s(literal 9 binary64)) |
(* (neg (sqrt x)) (neg (sqrt x))) |
x |
(neg (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
9 |
#s(literal 9 binary64) |
(/ y (* 3 (sqrt x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
y |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 y (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 170.0ms | 227× | 0 | valid |
| 35.0ms | 29× | 5 | exit |
Compiled 208 to 34 computations (83.7% saved)
ival-div: 64.0ms (41.6% of total)ival-mult: 56.0ms (36.4% of total)ival-sub: 9.0ms (5.8% of total)adjust: 7.0ms (4.5% of total)const: 7.0ms (4.5% of total)ival-sqrt: 5.0ms (3.2% of total)ival-add: 3.0ms (1.9% of total)ival-neg: 2.0ms (1.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ y (sqrt x)) 3)> |
#<alt (/ 1 (* x 9))> |
#<alt (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3))> |
#<alt (- 1 (/ 1 (* x 9)))> |
#<alt (+ 1 (/ -1/9 x))> |
#<alt (/ -1/9 x)> |
#<alt (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (* y -1/3)> |
#<alt (/ (/ 1 x) 9)> |
#<alt (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x))))> |
#<alt (- 1 (/ (/ 1 x) 9))> |
#<alt (* (neg (sqrt x)) (neg (sqrt x)))> |
#<alt (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))> |
#<alt (- (- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) (/ y (* 3 (sqrt x))))> |
#<alt (- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9)))> |
#<alt (/ y (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (/ y (* 3 (sqrt x)))> |
| Outputs |
|---|
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 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 (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 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 (* (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 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (/ 1/9 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (pow (sqrt -1) 2)))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 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)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ -1/9 x) |
| 1.0ms | x | @ | -inf | (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) |
| 1.0ms | x | @ | -inf | (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9)) |
| 1.0ms | x | @ | -inf | (* (neg (sqrt x)) (neg (sqrt x))) |
| 0.0ms | y | @ | -inf | (* y -1/3) |
| 1× | batch-egg-rewrite |
| 6 522× | accelerator-lowering-fma.f32 |
| 6 522× | accelerator-lowering-fma.f64 |
| 3 518× | /-lowering-/.f32 |
| 3 518× | /-lowering-/.f64 |
| 2 474× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 1 | 235 | 106 |
| 2 | 2650 | 106 |
| 0 | 8957 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ y (sqrt x)) 3) |
(/ 1 (* x 9)) |
(- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) |
(- 1 (/ 1 (* x 9))) |
(+ 1 (/ -1/9 x)) |
(/ -1/9 x) |
(+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* y -1/3) |
(/ (/ 1 x) 9) |
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) |
(- 1 (/ (/ 1 x) 9)) |
(* (neg (sqrt x)) (neg (sqrt x))) |
(/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9)) |
(- (- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) (/ y (* 3 (sqrt x)))) |
(- 1 (/ 1 (* (* (neg (sqrt x)) (neg (sqrt x))) 9))) |
(/ y (sqrt x)) |
(* 3 (sqrt x)) |
(/ y (* 3 (sqrt x))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
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(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(neg.f64 (/.f64 y (sqrt.f64 x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)))) |
(/.f64 (neg.f64 y) (sqrt.f64 x)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64))) (sqrt.f64 x)) |
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(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal -1/3 binary64))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64)))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 x (sqrt.f64 x))))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 y (neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y #s(literal -3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y) |
(*.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 6 166× | accelerator-lowering-fma.f32 |
| 6 166× | accelerator-lowering-fma.f64 |
| 3 564× | *-lowering-*.f32 |
| 3 564× | *-lowering-*.f64 |
| 1 898× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 2211 |
| 1 | 187 | 2179 |
| 2 | 480 | 2172 |
| 3 | 1236 | 2172 |
| 4 | 4304 | 2172 |
| 0 | 8151 | 2089 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
(/ -1/9 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)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 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)) |
(* (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 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(/ 1/9 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
x |
x |
x |
x |
x |
x |
x |
x |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 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)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(/ 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
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(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
Compiled 40 641 to 1 830 computations (95.5% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 691 | 16 | 1 707 |
| Fresh | 8 | 4 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 704 | 21 | 1 725 |
| Status | Accuracy | Program |
|---|---|---|
| 70.1% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) | |
| ▶ | 29.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| 58.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) | |
| 70.1% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) | |
| 70.1% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) | |
| 70.0% | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) | |
| 67.1% | (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| 47.2% | (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) | |
| 30.4% | (/.f64 #s(literal -1/9 binary64) x) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) |
| 99.4% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 29.5% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) | |
| 70.1% | (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) | |
| ▶ | 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| 58.7% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) | |
| 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| ✓ | 58.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| 58.7% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| 43.1% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) | |
| ▶ | 29.4% | #s(literal 1 binary64) |
Compiled 409 to 310 computations (24.2% saved)
| 1× | egg-herbie |
Found 13 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 | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| 928× | accelerator-lowering-fma.f32 |
| 928× | accelerator-lowering-fma.f64 |
| 560× | *-lowering-*.f32 |
| 560× | *-lowering-*.f64 |
| 334× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 110 |
| 1 | 46 | 96 |
| 2 | 105 | 96 |
| 3 | 258 | 96 |
| 4 | 577 | 96 |
| 5 | 1050 | 96 |
| 6 | 1771 | 96 |
| 7 | 2126 | 96 |
| 8 | 2223 | 96 |
| 9 | 2245 | 96 |
| 10 | 2248 | 96 |
| 11 | 2248 | 96 |
| 0 | 2248 | 94 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* 3 (sqrt x)) y))) |
(- 1 (/ 1 (* x 9))) |
1 |
(/ 1 (* x 9)) |
(* x 9) |
x |
9 |
(/ 1 (/ (* 3 (sqrt x)) y)) |
(/ (* 3 (sqrt x)) y) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
y |
1 |
(+ (* (/ 1 x) 1/9) 1) |
(/ 1 x) |
1 |
x |
1/9 |
(+ 1 (/ (/ 1 x) 9)) |
1 |
(/ (/ 1 x) 9) |
(/ 1 x) |
x |
9 |
(- 1 (/ y (* 3 (sqrt x)))) |
1 |
(/ y (* 3 (sqrt x))) |
y |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
| Outputs |
|---|
(- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* 3 (sqrt x)) y))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(- 1 (/ 1 (* x 9))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
x |
9 |
#s(literal 9 binary64) |
(/ 1 (/ (* 3 (sqrt x)) y)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/ (* 3 (sqrt x)) y) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
y |
1 |
#s(literal 1 binary64) |
(+ (* (/ 1 x) 1/9) 1) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
1/9 |
#s(literal 1/9 binary64) |
(+ 1 (/ (/ 1 x) 9)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 x) 9) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
9 |
#s(literal 9 binary64) |
(- 1 (/ y (* 3 (sqrt x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ y (* 3 (sqrt x))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| ✓ | 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)) |
| 43.0ms | 256× | 0 | valid |
Compiled 113 to 23 computations (79.6% saved)
ival-div: 10.0ms (36.8% of total)ival-mult: 5.0ms (18.4% of total)const: 4.0ms (14.7% of total)ival-sub: 3.0ms (11.1% of total)ival-add: 2.0ms (7.4% of total)ival-sqrt: 2.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (* 3 (sqrt x)) y))> |
#<alt (/ 1 (* x 9))> |
#<alt (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* 3 (sqrt x)) y)))> |
#<alt (- 1 (/ 1 (* x 9)))> |
#<alt (+ (* (/ 1 x) 1/9) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (/ 1 x) 9)> |
#<alt (+ 1 (/ (/ 1 x) 9))> |
#<alt (- 1 (/ y (* 3 (sqrt x))))> |
#<alt (/ y (* 3 (sqrt x)))> |
#<alt (* 3 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (/ (* 3 (sqrt x)) y)> |
| Outputs |
|---|
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 x) x)> |
#<alt (/ (+ 1/9 x) x)> |
#<alt (/ (+ 1/9 x) x)> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 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 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 x) x)> |
#<alt (/ (+ 1/9 x) x)> |
#<alt (/ (+ 1/9 x) x)> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 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 (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
#<alt (* 3 (* (sqrt x) (/ 1 y)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (* 3 (sqrt x)) y) |
| 1.0ms | x | @ | 0 | (/ (* 3 (sqrt x)) y) |
| 0.0ms | y | @ | inf | (/ (* 3 (sqrt x)) y) |
| 0.0ms | y | @ | 0 | (/ (* 3 (sqrt x)) y) |
| 0.0ms | x | @ | inf | (/ (* 3 (sqrt x)) y) |
| 1× | batch-egg-rewrite |
| 12 624× | accelerator-lowering-fma.f32 |
| 12 624× | accelerator-lowering-fma.f64 |
| 4 842× | /-lowering-/.f32 |
| 4 842× | /-lowering-/.f64 |
| 3 260× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 68 |
| 1 | 148 | 68 |
| 2 | 1515 | 68 |
| 0 | 8392 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (* 3 (sqrt x)) y)) |
(/ 1 (* x 9)) |
(- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* 3 (sqrt x)) y))) |
(- 1 (/ 1 (* x 9))) |
(+ (* (/ 1 x) 1/9) 1) |
(/ 1 x) |
(/ (/ 1 x) 9) |
(+ 1 (/ (/ 1 x) 9)) |
(- 1 (/ y (* 3 (sqrt x)))) |
(/ y (* 3 (sqrt x))) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (* 3 (sqrt x)) y) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 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 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.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) (neg.f64 x)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 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 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 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)) |
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(*.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y)) |
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 3 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
| 1× | egg-herbie |
| 5 804× | accelerator-lowering-fma.f32 |
| 5 804× | accelerator-lowering-fma.f64 |
| 2 866× | *-lowering-*.f32 |
| 2 866× | *-lowering-*.f64 |
| 1 688× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 1429 |
| 1 | 171 | 1380 |
| 2 | 410 | 1380 |
| 3 | 1177 | 1380 |
| 4 | 3010 | 1380 |
| 5 | 6232 | 1380 |
| 6 | 7773 | 1380 |
| 0 | 8325 | 1339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
(/ 1/9 x) |
(/ (+ 1/9 x) x) |
(/ (+ 1/9 x) x) |
(/ (+ 1/9 x) x) |
1 |
(+ 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 x) x) |
(/ (+ 1/9 x) x) |
(/ (+ 1/9 x) x) |
1 |
(+ 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 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 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))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
(* 3 (* (sqrt x) (/ 1 y))) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
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(*.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) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(* 3 (* (sqrt x) (/ 1 y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
Compiled 16 670 to 1 364 computations (91.8% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 819 | 3 | 822 |
| Fresh | 1 | 14 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 821 | 22 | 843 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.1% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | 29.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| 58.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) | |
| 70.1% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) | |
| 70.1% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) | |
| 70.0% | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) | |
| ▶ | 70.1% | (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
| 67.1% | (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| 47.2% | (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) | |
| 2.8% | (/.f64 #s(literal 1/9 binary64) x) | |
| ▶ | 30.4% | (/.f64 #s(literal -1/9 binary64) x) |
| ▶ | 99.4% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) | |
| ✓ | 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 29.5% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) | |
| ✓ | 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| 58.7% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) | |
| 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| ✓ | 58.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| ▶ | 58.7% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 43.1% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) | |
| ✓ | 29.4% | #s(literal 1 binary64) |
Compiled 375 to 284 computations (24.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 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 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 2304 | (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| 11 094× | accelerator-lowering-fma.f32 |
| 11 094× | accelerator-lowering-fma.f64 |
| 2 546× | *-lowering-*.f32 |
| 2 546× | *-lowering-*.f64 |
| 1 382× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 127 |
| 1 | 61 | 117 |
| 2 | 121 | 117 |
| 3 | 258 | 101 |
| 4 | 568 | 101 |
| 5 | 1249 | 101 |
| 6 | 2268 | 101 |
| 7 | 2884 | 101 |
| 8 | 3876 | 101 |
| 9 | 5800 | 101 |
| 10 | 6654 | 101 |
| 11 | 7158 | 101 |
| 0 | 8021 | 98 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) |
(- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) |
1 |
(* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) |
(/ 1/3 (sqrt x)) |
1/3 |
(sqrt x) |
x |
(/ y (* 3 (sqrt x))) |
y |
(* 3 (sqrt x)) |
3 |
(/ -1/9 x) |
-1/9 |
x |
(+ 1 (/ -1 (* x 9))) |
1 |
(/ -1 (* x 9)) |
-1 |
(* x 9) |
x |
9 |
(+ (* (/ y (sqrt x)) -1/3) 1) |
(/ y (sqrt x)) |
y |
(sqrt x) |
x |
-1/3 |
1 |
(+ (* y (/ 1 (* (sqrt x) -3))) 1) |
y |
(/ 1 (* (sqrt x) -3)) |
1 |
(* (sqrt x) -3) |
(sqrt x) |
x |
-3 |
| Outputs |
|---|
(- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/3 (sqrt x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ y (* 3 (sqrt x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
-1/9 |
#s(literal -1/9 binary64) |
x |
(+ 1 (/ -1 (* x 9))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ -1 (* x 9)) |
(/.f64 #s(literal -1/9 binary64) x) |
-1 |
#s(literal -1 binary64) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
x |
9 |
#s(literal 9 binary64) |
(+ (* (/ y (sqrt x)) -1/3) 1) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(/ y (sqrt x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt x) |
(sqrt.f64 x) |
x |
-1/3 |
#s(literal -1/3 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* y (/ 1 (* (sqrt x) -3))) 1) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
y |
(/ 1 (* (sqrt x) -3)) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) -3) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3 |
#s(literal -3 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
| ✓ | 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 | 99.7% | (/.f64 y (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 9 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | accuracy | 99.6% | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| 61.0ms | 256× | 0 | valid |
Compiled 127 to 30 computations (76.4% saved)
ival-div: 12.0ms (29.4% of total)const: 10.0ms (24.5% of total)ival-mult: 9.0ms (22% of total)ival-sub: 4.0ms (9.8% of total)ival-add: 3.0ms (7.3% of total)ival-sqrt: 2.0ms (4.9% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))> |
#<alt (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x))))> |
#<alt (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))))> |
#<alt (/ 1/3 (sqrt x))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1 (* x 9))> |
#<alt (+ 1 (/ -1 (* x 9)))> |
#<alt (* x 9)> |
#<alt (+ (* (/ y (sqrt x)) -1/3) 1)> |
#<alt (/ y (sqrt x))> |
#<alt (sqrt x)> |
#<alt (/ 1 (* (sqrt x) -3))> |
#<alt (+ (* y (/ 1 (* (sqrt x) -3))) 1)> |
#<alt (* (sqrt x) -3)> |
#<alt (* 3 (sqrt x))> |
#<alt (/ y (* 3 (sqrt x)))> |
| 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 (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (* 1/9 (/ 1 (* 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 (/ -1/9 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 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 (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (sqrt (/ 1 x)))> |
#<alt (* -1/3 (sqrt (/ 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> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (sqrt x))> |
#<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)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ 1/3 (sqrt x)) |
| 0.0ms | x | @ | 0 | (/ 1/3 (sqrt x)) |
| 0.0ms | x | @ | -inf | (+ (* (/ y (sqrt x)) -1/3) 1) |
| 0.0ms | x | @ | 0 | (/ 1 (* (sqrt x) -3)) |
| 0.0ms | x | @ | -inf | (/ 1 (* (sqrt x) -3)) |
| 1× | batch-egg-rewrite |
| 11 570× | accelerator-lowering-fma.f32 |
| 11 570× | accelerator-lowering-fma.f64 |
| 3 678× | /-lowering-/.f32 |
| 3 678× | /-lowering-/.f64 |
| 3 152× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 92 |
| 1 | 162 | 78 |
| 2 | 1564 | 78 |
| 0 | 8860 | 75 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) |
(- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) |
(- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) |
(/ 1/3 (sqrt x)) |
(/ -1/9 x) |
(/ -1 (* x 9)) |
(+ 1 (/ -1 (* x 9))) |
(* x 9) |
(+ (* (/ y (sqrt x)) -1/3) 1) |
(/ y (sqrt x)) |
(sqrt x) |
(/ 1 (* (sqrt x) -3)) |
(+ (* y (/ 1 (* (sqrt x) -3))) 1) |
(* (sqrt x) -3) |
(* 3 (sqrt x)) |
(/ y (* 3 (sqrt x))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.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 -1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(+.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (/.f64 (*.f64 y y) (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (/.f64 (*.f64 y y) (*.f64 x #s(literal 9 binary64)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x #s(literal -9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (/.f64 (*.f64 y y) (*.f64 x #s(literal 9 binary64)))))) (/.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (/.f64 (*.f64 y y) (*.f64 x #s(literal 9 binary64))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x #s(literal -9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
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(*.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 6 864× | accelerator-lowering-fma.f32 |
| 6 864× | accelerator-lowering-fma.f64 |
| 2 688× | *-lowering-*.f32 |
| 2 688× | *-lowering-*.f64 |
| 1 268× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1592 |
| 1 | 180 | 1592 |
| 2 | 447 | 1591 |
| 3 | 1069 | 1591 |
| 4 | 3084 | 1591 |
| 5 | 5361 | 1591 |
| 6 | 7087 | 1591 |
| 0 | 8044 | 1530 |
| 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 (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+ 1 (* 1/9 (/ 1 (* 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))) |
(/ -1/9 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 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) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 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))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
1 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (sqrt (/ 1 x))) |
(* -1/3 (sqrt (/ 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 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 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))) |
(* 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)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
| 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 (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 #s(literal 1 binary64) (/.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 (/ 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))) |
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(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
Compiled 23 036 to 2 086 computations (90.9% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 299 | 5 | 1 304 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 303 | 23 | 1 326 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.1% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | 29.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| 70.1% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) | |
| 70.1% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) | |
| 70.0% | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) | |
| ✓ | 70.1% | (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
| 67.1% | (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| 30.5% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)) | |
| 19.0% | (/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| 30.5% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) | |
| 2.8% | (/.f64 #s(literal 1/9 binary64) x) | |
| ✓ | 30.4% | (/.f64 #s(literal -1/9 binary64) x) |
| 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) | |
| ✓ | 70.1% | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 29.5% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) | |
| ✓ | 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| 29.5% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| ✓ | 58.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | 58.7% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 30.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) | |
| 43.1% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) | |
| ✓ | 29.4% | #s(literal 1 binary64) |
Compiled 631 to 276 computations (56.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
3 calls:
| 15.0ms | x |
| 15.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 13.0ms | x |
| 13.0ms | y |
| 10.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
3 calls:
| 13.0ms | x |
| 10.0ms | y |
| 9.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
3 calls:
| 13.0ms | x |
| 9.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
3 calls:
| 9.0ms | x |
| 8.0ms | y |
| 8.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 98.5% | 2 | y |
| 98.3% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
| Outputs |
|---|
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 7.0ms | x |
| 6.0ms | y |
| 6.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 96.7% | 3 | y |
| 83.4% | 2 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
3 calls:
| 8.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 58.7% | 1 | x |
| 58.7% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 58.7% | 1 | y |
| 58.7% | 1 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 58.6% | 1 | y |
| 58.6% | 1 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 38.0% | 3 | y |
| 57.8% | 2 | x |
Compiled 22 to 16 computations (27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.4% | 1 | y |
| 29.4% | 1 | x |
| 29.4% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.4168783903720277e+59 | 1.4892771095311057e+61 |
| 8.0ms | 112× | 0 | valid |
Compiled 201 to 157 computations (21.9% saved)
ival-div: 1.0ms (20.3% of total)ival-sub: 1.0ms (20.3% of total)ival-mult: 1.0ms (20.3% of total)ival-sqrt: 1.0ms (20.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.1216305380399582 | 499201.64090304205 |
| 21.0ms | 144× | 0 | valid |
Compiled 226 to 179 computations (20.8% saved)
ival-div: 13.0ms (75.2% of total)ival-mult: 2.0ms (11.6% of total)ival-sub: 1.0ms (5.8% of total)ival-sqrt: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 0.09367498142154528 | 0.1216305380399582 |
| 3.0ms | 48× | 0 | valid |
Compiled 88 to 71 computations (19.3% saved)
ival-div: 1.0ms (47.2% of total)ival-mult: 1.0ms (47.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.30902729592073e+39 | 1.0857108203565417e+46 |
| 21.0ms | -3.0917028847783333e+53 | -1.8324372459193176e+36 |
| 21.0ms | 304× | 0 | valid |
Compiled 418 to 359 computations (14.1% saved)
ival-div: 4.0ms (29.6% of total)ival-mult: 4.0ms (29.6% of total)ival-sub: 3.0ms (22.2% of total)ival-sqrt: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.30902729592073e+39 | 1.0857108203565417e+46 |
| 21.0ms | -3.0917028847783333e+53 | -1.8324372459193176e+36 |
| 25.0ms | 304× | 0 | valid |
Compiled 408 to 349 computations (14.5% saved)
ival-sub: 8.0ms (43.7% of total)ival-div: 4.0ms (21.8% of total)ival-mult: 4.0ms (21.8% of total)ival-sqrt: 2.0ms (10.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7.30902729592073e+39 | 1.0857108203565417e+46 |
| 21.0ms | -3.0917028847783333e+53 | -1.8324372459193176e+36 |
| 25.0ms | 304× | 0 | valid |
Compiled 399 to 340 computations (14.8% saved)
ival-sub: 8.0ms (43.6% of total)ival-div: 4.0ms (21.8% of total)ival-mult: 4.0ms (21.8% of total)ival-sqrt: 2.0ms (10.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.30902729592073e+39 | 1.0857108203565417e+46 |
| 18.0ms | -3.0917028847783333e+53 | -1.8324372459193176e+36 |
| 20.0ms | 304× | 0 | valid |
Compiled 399 to 340 computations (14.8% saved)
ival-div: 4.0ms (29.9% of total)ival-mult: 4.0ms (29.9% of total)ival-sub: 3.0ms (22.4% of total)ival-sqrt: 2.0ms (15% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1861343277038059 | 0.9999996164128675 |
Compiled 19 to 17 computations (10.5% saved)
| 1× | egg-herbie |
| 38× | +-commutative_binary64 |
| 34× | *-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 264 |
| 1 | 103 | 264 |
| 2 | 125 | 264 |
| 3 | 156 | 264 |
| 4 | 184 | 264 |
| 5 | 195 | 264 |
| 6 | 198 | 264 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 x #s(literal 249999999999999987346783824268504716740911252753352518270976 binary64)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 1098878309078401/9007199254740992 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -290000000000000019301723048123526079634808412649291776 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 42000000000000000337774883372463161369165824 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -8200000000000000247982660149540630976289308672 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1350000000000000037384336378801607506132992 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1599999999999999963980957175296544473088 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1650000000000000026710219416159467181264863232 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1499999999999999984639126153007614336162066333696 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1999999999999999859514578049071102439861518336 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 x #s(literal 249999999999999987346783824268504716740911252753352518270976 binary64)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 249999999999999987346783824268504716740911252753352518270976 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 1098878309078401/9007199254740992 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 1098878309078401/9007199254740992 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 y #s(literal -290000000000000019301723048123526079634808412649291776 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 42000000000000000337774883372463161369165824 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -290000000000000019301723048123526079634808412649291776 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 42000000000000000337774883372463161369165824 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(if (<=.f64 y #s(literal -8200000000000000247982660149540630976289308672 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1350000000000000037384336378801607506132992 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -8200000000000000247982660149540630976289308672 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1350000000000000037384336378801607506132992 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -1599999999999999963980957175296544473088 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1650000000000000026710219416159467181264863232 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1499999999999999984639126153007614336162066333696 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1999999999999999859514578049071102439861518336 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 8 710× | accelerator-lowering-fma.f32 |
| 8 710× | accelerator-lowering-fma.f64 |
| 7 662× | accelerator-lowering-fma.f32 |
| 7 662× | accelerator-lowering-fma.f64 |
| 6 522× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1976 | 659 |
| 5 | 3988 | 659 |
| 6 | 5217 | 659 |
| 7 | 6399 | 659 |
| 8 | 7521 | 659 |
| 9 | 7907 | 659 |
| 0 | 8011 | 638 |
| 0 | 74 | 2211 |
| 1 | 187 | 2179 |
| 2 | 480 | 2172 |
| 3 | 1236 | 2172 |
| 4 | 4304 | 2172 |
| 0 | 8151 | 2089 |
| 0 | 12 | 39 |
| 1 | 67 | 33 |
| 2 | 782 | 33 |
| 0 | 8398 | 32 |
| 0 | 32 | 135 |
| 1 | 235 | 106 |
| 2 | 2650 | 106 |
| 0 | 8957 | 102 |
| 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 |
Compiled 617 to 347 computations (43.8% saved)
Compiled 622 to 200 computations (67.8% saved)
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