
Time bar (total: 7.6s)
| 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)
| 659.0ms | 8 256× | 0 | valid |
ival-div: 121.0ms (29.2% of total)ival-mult: 116.0ms (28% of total)ival-sub: 92.0ms (22.2% of total)ival-sqrt: 63.0ms (15.2% of total)exact: 12.0ms (2.9% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 3.0ms (0.7% of total)| 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 |
| 81.0ms | 512× | 0 | valid |
Compiled 110 to 40 computations (63.6% saved)
ival-mult: 38.0ms (64% of total)ival-div: 11.0ms (18.5% of total)ival-sub: 5.0ms (8.4% of total)ival-sqrt: 4.0ms (6.7% of total)ival-true: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
| 0 | 19 | 14 |
| 1 | 33 | 12 |
| 2 | 71 | 12 |
| 3 | 147 | 12 |
| 4 | 270 | 12 |
| 5 | 507 | 12 |
| 6 | 1005 | 12 |
| 7 | 1271 | 12 |
| 8 | 1362 | 12 |
| 9 | 1376 | 12 |
| 10 | 1379 | 12 |
| 0 | 1379 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.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)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.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 14 to 12 computations (14.3% 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 19 | 46 |
| 1 | 33 | 40 |
| 2 | 71 | 40 |
| 3 | 147 | 40 |
| 4 | 270 | 40 |
| 5 | 507 | 40 |
| 6 | 1005 | 40 |
| 7 | 1271 | 40 |
| 8 | 1362 | 40 |
| 9 | 1376 | 40 |
| 10 | 1379 | 40 |
| 0 | 1379 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#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)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.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 | 0.19921875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.265625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 40.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-div: 3.0ms (26.6% of total)ival-mult: 3.0ms (26.6% of total)ival-sub: 2.0ms (17.7% of total)ival-sqrt: 2.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) (taylor 0 x) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | x | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | y | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1980 | 659 |
| 5 | 3976 | 659 |
| 6 | 5206 | 659 |
| 7 | 6399 | 659 |
| 8 | 7529 | 659 |
| 9 | 7918 | 659 |
| 0 | 8008 | 638 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -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)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 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)))))) |
(* 1/3 (* (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 (/ (+ 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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)) |
| Outputs |
|---|
(- 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))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #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)))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #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)))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #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)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 789 | 33 |
| 0 | 8366 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 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 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
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Compiled 13 919 to 1 303 computations (90.6% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 505 | 19 | 524 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 505 | 20 | 525 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| 99.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| ▶ | 99.6% | (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))))) |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) | |
| 99.6% | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.7% | (-.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 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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))) |
| ✓ | 99.7% | (-.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 (sqrt.f64 x) #s(literal 3 binary64)) y))) | |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) | |
| 69.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 60.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) | |
| ▶ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| 40.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 506 to 434 computations (14.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 192 | (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))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 y #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 213 |
| 0 | 66 | 218 |
| 1 | 112 | 196 |
| 2 | 196 | 196 |
| 3 | 285 | 196 |
| 4 | 455 | 196 |
| 5 | 705 | 196 |
| 6 | 1241 | 196 |
| 7 | 1644 | 196 |
| 8 | 1864 | 196 |
| 9 | 2160 | 196 |
| 10 | 2182 | 196 |
| 11 | 2194 | 196 |
| 12 | 2196 | 196 |
| 0 | 2196 | 190 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt 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)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
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))))) |
(/.f64 #s(literal -1 binary64) x) |
#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)))) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal -9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#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))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt 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)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
y |
#s(literal -1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal -1 binary64) x) |
#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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(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)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal -9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.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)))) | |
| accuracy | 0.19921875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.265625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.26953125 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.12890625 | (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))))) | |
| accuracy | 0.19921875 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.265625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.12728500976844204 | (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.30078125 | (*.f64 y #s(literal -1/3 binary64)) | |
| accuracy | 20.093207581215704 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.37890625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 25.111313131915768 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| accuracy | 0.00390625 | (-.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))) | |
| accuracy | 0.18359375 | (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.18359375 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 165.0ms | 256× | 0 | valid |
Compiled 201 to 37 computations (81.6% saved)
ival-sub: 44.0ms (43.5% of total)ival-mult: 29.0ms (28.7% of total)ival-div: 15.0ms (14.8% of total)const: 6.0ms (5.9% of total)ival-sqrt: 4.0ms (4% of total)ival-add: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) #<representation binary64>) () ()) |
#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* y -1/3) (sqrt (/ 1 x))) 1) (* y -1/3) (sqrt (/ 1 x)) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ y (sqrt x)) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | y | @ | 0 | ((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* y -1/3) (sqrt (/ 1 x))) 1) (* y -1/3) (sqrt (/ 1 x)) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ y (sqrt x)) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | x | @ | -inf | ((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* y -1/3) (sqrt (/ 1 x))) 1) (* y -1/3) (sqrt (/ 1 x)) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ y (sqrt x)) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | x | @ | inf | ((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* y -1/3) (sqrt (/ 1 x))) 1) (* y -1/3) (sqrt (/ 1 x)) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ y (sqrt x)) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | y | @ | -inf | ((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* y -1/3) (sqrt (/ 1 x))) 1) (* y -1/3) (sqrt (/ 1 x)) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ y (sqrt x)) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 3198 |
| 1 | 181 | 3161 |
| 2 | 452 | 3157 |
| 3 | 1193 | 3157 |
| 4 | 3784 | 3157 |
| 5 | 6096 | 3157 |
| 0 | 8183 | 3012 |
| 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 (* 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 (* 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 (* 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 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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 |
(+ 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 (* 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))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -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)) |
(* 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)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -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))))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (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 (* 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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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)))))) |
(* -1/3 (* (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)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 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)))))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (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 (/ (+ 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(* -1/3 (* (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) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 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) |
(* -1/3 (* (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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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 (/ (+ 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(* (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)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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 (* 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 (* 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 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 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 (* 1/3 (* (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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* (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)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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 (* 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 (* 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 (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))))) |
(* (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 (* 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* -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 (* (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) (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)) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 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))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(- 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))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 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))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
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(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (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) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 176 |
| 0 | 66 | 182 |
| 1 | 280 | 156 |
| 2 | 2805 | 156 |
| 0 | 8821 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt 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 #s(literal 1/9 binary64) x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(/.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
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Compiled 34 436 to 1 952 computations (94.3% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 562 | 18 | 1 580 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 575 | 25 | 1 600 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) | |
| 99.5% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))) | |
| 99.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) | |
| 60.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) | |
| ▶ | 99.6% | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 69.7% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.4% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.5% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 60.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) | |
| ▶ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) | |
| 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) | |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) | |
| ✓ | 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) | |
| ▶ | 60.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
| ✓ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) | |
| ▶ | 29.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
Compiled 500 to 462 computations (7.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 203 |
| 0 | 66 | 212 |
| 1 | 114 | 178 |
| 2 | 216 | 178 |
| 3 | 330 | 173 |
| 4 | 547 | 173 |
| 5 | 867 | 173 |
| 6 | 1509 | 173 |
| 7 | 1827 | 173 |
| 8 | 2032 | 173 |
| 9 | 2063 | 173 |
| 10 | 2068 | 173 |
| 11 | 2074 | 173 |
| 12 | 2076 | 173 |
| 0 | 2076 | 173 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.171875 | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.18359375 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 0.37890625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.27962875976844204 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.30078125 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 38.02929815579712 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) | |
| accuracy | 0 | (*.f64 #s(literal 9 binary64) x) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 25.111313131915768 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) | |
| accuracy | 25.111313131915768 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) | |
| accuracy | 31.20721187300385 | #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.19921875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) | |
| accuracy | 0.265625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 77.0ms | 256× | 0 | valid |
Compiled 180 to 40 computations (77.8% saved)
ival-div: 18.0ms (30.9% of total)ival-sub: 14.0ms (24% of total)ival-mult: 12.0ms (20.6% of total)const: 8.0ms (13.7% of total)ival-sqrt: 4.0ms (6.9% of total)ival-add: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) y) (patch (*.f64 #s(literal -1/3 binary64) y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/3 binary64) y) (patch (*.f64 #s(literal -1/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/3 binary64) y) (patch (*.f64 #s(literal -1/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/3 binary64) y) (patch (*.f64 #s(literal -1/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/3 binary64) y) (patch (*.f64 #s(literal -1/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1 (* 9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (* 9 x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (+ (* -1/3 (/ y (sqrt x))) 1) (/ 1/9 x)) (+ (* -1/3 (/ y (sqrt x))) 1) (/ y (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (/ 1/9 x)) |
| 2.0ms | x | @ | -inf | ((/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1 (* 9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (* 9 x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (+ (* -1/3 (/ y (sqrt x))) 1) (/ 1/9 x)) (+ (* -1/3 (/ y (sqrt x))) 1) (/ y (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (/ 1/9 x)) |
| 2.0ms | x | @ | inf | ((/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1 (* 9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (* 9 x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (+ (* -1/3 (/ y (sqrt x))) 1) (/ 1/9 x)) (+ (* -1/3 (/ y (sqrt x))) 1) (/ y (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (/ 1/9 x)) |
| 1.0ms | x | @ | 0 | ((/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1 (* 9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (* 9 x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (+ (* -1/3 (/ y (sqrt x))) 1) (/ 1/9 x)) (+ (* -1/3 (/ y (sqrt x))) 1) (/ y (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (/ 1/9 x)) |
| 1.0ms | y | @ | 0 | ((/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1 (* 9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (* 9 x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (+ (* -1/3 (/ y (sqrt x))) 1) (/ 1/9 x)) (+ (* -1/3 (/ y (sqrt x))) 1) (/ y (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (/ 1/9 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 2749 |
| 1 | 202 | 2737 |
| 2 | 527 | 2728 |
| 3 | 1360 | 2728 |
| 4 | 3868 | 2728 |
| 5 | 6430 | 2728 |
| 0 | 8137 | 2603 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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 (* 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 (* 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 (* 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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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 |
(+ 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) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* 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))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (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 (* 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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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)))))) |
(* -1/3 (* (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)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 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) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 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) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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 (* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 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 (* -1/3 (* (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 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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 (* 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 (* 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (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)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ 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 (* -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) |
(* -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) (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)) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
| Outputs |
|---|
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
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(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 178 |
| 0 | 66 | 183 |
| 1 | 282 | 148 |
| 2 | 3011 | 143 |
| 0 | 8743 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 #s(literal 9 binary64) x) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
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Compiled 25 646 to 1 791 computations (93% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 182 | 11 | 1 193 |
| Fresh | 8 | 10 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 191 | 27 | 1 218 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
| 60.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) | |
| ✓ | 99.6% | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
| 69.7% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.4% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.5% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 60.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) | |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) | |
| ▶ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) | |
| ▶ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) | |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) | |
| ✓ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) | |
| 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) | |
| ✓ | 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) | |
| 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) | |
| ▶ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
| ✓ | 60.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
| 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| ✓ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| ▶ | 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
| ✓ | 29.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
Compiled 395 to 400 computations (-1.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) | |
| cost-diff | -384 | (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) | |
| cost-diff | 320 | (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) | |
| cost-diff | 384 | (/.f64 y #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 216 |
| 0 | 63 | 193 |
| 1 | 117 | 186 |
| 2 | 234 | 183 |
| 3 | 424 | 183 |
| 4 | 751 | 183 |
| 5 | 1355 | 183 |
| 6 | 1785 | 183 |
| 7 | 2065 | 183 |
| 8 | 2252 | 183 |
| 9 | 2605 | 183 |
| 10 | 2799 | 183 |
| 11 | 2829 | 183 |
| 12 | 2833 | 183 |
| 0 | 2833 | 177 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/9 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 y #s(literal -3 binary64)) |
y |
#s(literal -3 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
#s(literal -1/3 binary64) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/9 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 y #s(literal -3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
y |
#s(literal -3 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
y |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
#s(literal -1/3 binary64) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.23828125 | (/.f64 (sqrt.f64 x) y) | |
| accuracy | 0.9979611786659308 | (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) | |
| accuracy | 38.02929815579712 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.19921875 | (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.265625 | (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) | |
| accuracy | 38.02929815579712 | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) | |
| accuracy | 25.111313131915768 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) | |
| accuracy | 0.37890625 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 25.111313131915768 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) | |
| accuracy | 33.182325041202674 | #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.12890625 | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) | |
| accuracy | 0.27962875976844204 | (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) | |
| accuracy | 0.29296875 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
| 147.0ms | 256× | 0 | valid |
Compiled 179 to 42 computations (76.5% saved)
ival-div: 79.0ms (61.1% of total)ival-mult: 24.0ms (18.6% of total)const: 9.0ms (7% of total)ival-sub: 8.0ms (6.2% of total)ival-sqrt: 8.0ms (6.2% of total)ival-add: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -3 binary64)) (patch (/.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((/ y -3) (* (/ -1 (sqrt x)) (/ y -3)) (+ (* (/ -1 x) 1/9) (- 1 (* (/ -1 (sqrt x)) (/ y -3)))) (- 1 (* (/ -1 (sqrt x)) (/ y -3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (/ -1/9 x) (/ 1 (* (* x 3) 3)) (* (* x 3) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* x 3) 3))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* -3 (sqrt x)) (sqrt x) (/ y (* -3 (sqrt x))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ -1/3 (/ (sqrt x) y)) (/ (sqrt x) y) (/ -1 (sqrt x)) (* x 3)) |
| 7.0ms | x | @ | -inf | ((/ y -3) (* (/ -1 (sqrt x)) (/ y -3)) (+ (* (/ -1 x) 1/9) (- 1 (* (/ -1 (sqrt x)) (/ y -3)))) (- 1 (* (/ -1 (sqrt x)) (/ y -3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (/ -1/9 x) (/ 1 (* (* x 3) 3)) (* (* x 3) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* x 3) 3))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* -3 (sqrt x)) (sqrt x) (/ y (* -3 (sqrt x))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ -1/3 (/ (sqrt x) y)) (/ (sqrt x) y) (/ -1 (sqrt x)) (* x 3)) |
| 3.0ms | x | @ | 0 | ((/ y -3) (* (/ -1 (sqrt x)) (/ y -3)) (+ (* (/ -1 x) 1/9) (- 1 (* (/ -1 (sqrt x)) (/ y -3)))) (- 1 (* (/ -1 (sqrt x)) (/ y -3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (/ -1/9 x) (/ 1 (* (* x 3) 3)) (* (* x 3) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* x 3) 3))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* -3 (sqrt x)) (sqrt x) (/ y (* -3 (sqrt x))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ -1/3 (/ (sqrt x) y)) (/ (sqrt x) y) (/ -1 (sqrt x)) (* x 3)) |
| 2.0ms | x | @ | inf | ((/ y -3) (* (/ -1 (sqrt x)) (/ y -3)) (+ (* (/ -1 x) 1/9) (- 1 (* (/ -1 (sqrt x)) (/ y -3)))) (- 1 (* (/ -1 (sqrt x)) (/ y -3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (/ -1/9 x) (/ 1 (* (* x 3) 3)) (* (* x 3) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* x 3) 3))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* -3 (sqrt x)) (sqrt x) (/ y (* -3 (sqrt x))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ -1/3 (/ (sqrt x) y)) (/ (sqrt x) y) (/ -1 (sqrt x)) (* x 3)) |
| 2.0ms | y | @ | 0 | ((/ y -3) (* (/ -1 (sqrt x)) (/ y -3)) (+ (* (/ -1 x) 1/9) (- 1 (* (/ -1 (sqrt x)) (/ y -3)))) (- 1 (* (/ -1 (sqrt x)) (/ y -3))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* 9 x))) (/ -1/9 x) (/ 1 (* (* x 3) 3)) (* (* x 3) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* x 3) 3))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (* -3 (sqrt x)) (sqrt x) (/ y (* -3 (sqrt x))) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ -1/3 (/ (sqrt x) y)) (/ (sqrt x) y) (/ -1 (sqrt x)) (* x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 2847 |
| 1 | 174 | 2794 |
| 2 | 403 | 2794 |
| 3 | 1134 | 2794 |
| 4 | 2948 | 2794 |
| 5 | 5636 | 2794 |
| 6 | 6836 | 2794 |
| 7 | 7986 | 2794 |
| 0 | 8099 | 2669 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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 (* 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 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -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 (* 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 (* 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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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)) |
(* 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)) |
(* 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 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)) |
(* 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)) |
(* 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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -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)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 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 (* 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)))))) |
(* -1/3 (* (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 (/ (- 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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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)))))) |
(* -1/3 (* (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 (* 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)))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 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 (/ (+ 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) |
(* -1/3 (* (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 (/ (+ 1/9 (* 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 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) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- 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) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -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 (/ (+ 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) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 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 (* 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 (* 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)) (* 1/9 (/ 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 (* 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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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)))) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -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 (* 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 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 (* 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 (* 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)) (* 1/9 (/ 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 (* 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) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 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 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 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)))) |
(* 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 (* (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)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (sqrt (/ 1 x))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 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))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 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))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
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(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 192 |
| 0 | 63 | 169 |
| 1 | 287 | 159 |
| 2 | 2688 | 159 |
| 0 | 8825 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(*.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 18 110 to 2 214 computations (87.8% saved)
28 alts after pruning (17 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 125 | 6 | 1 131 |
| Fresh | 5 | 11 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 130 | 28 | 1 158 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
| ✓ | 99.6% | (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
| 69.7% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 68.4% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 60.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) | |
| 40.5% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) | |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) | |
| ✓ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) | |
| ✓ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) | |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) | |
| 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) | |
| ✓ | 40.4% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) | |
| ✓ | 68.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
| ✓ | 60.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
| 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| ✓ | 60.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| 29.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) | |
| 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) | |
| 31.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) | |
| ✓ | 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
| 31.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) | |
| ✓ | 29.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
Compiled 771 to 402 computations (47.9% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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))) |
(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 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) 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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
(-.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 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:
| 41.0ms | x |
| 19.0ms | (-.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)))) |
| 18.0ms | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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))) |
(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 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) 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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
| 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:
| 17.0ms | x |
| 15.0ms | y |
| 13.0ms | (-.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 |
|---|---|---|
| 99.7% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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))) |
(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 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| Outputs |
|---|
(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))))) |
3 calls:
| 16.0ms | (-.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)))) |
| 14.0ms | y |
| 13.0ms | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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))) |
| Outputs |
|---|
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
3 calls:
| 13.0ms | y |
| 12.0ms | x |
| 12.0ms | (-.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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
3 calls:
| 12.0ms | x |
| 12.0ms | y |
| 11.0ms | (-.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 |
|---|---|---|
| 98.3% | 2 | x |
| 97.6% | 3 | y |
| 97.4% | 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)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 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 | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | y |
| 83.8% | 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)))) |
| 83.0% | 2 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
3 calls:
| 7.0ms | y |
| 5.0ms | x |
| 5.0ms | (-.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 |
|---|---|---|
| 60.7% | 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)))) |
| 60.7% | 1 | x |
| 60.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (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(approx (- 1 (/ y (* (sqrt x) 3))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
3 calls:
| 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)))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | y |
| 60.6% | 1 | x |
| 60.6% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
3 calls:
| 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 | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.5% | 2 | y |
| 59.2% | 2 | x |
| 60.1% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* 9 x))) (/.f64 #s(literal -1/9 binary64) x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
1 calls:
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 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 14 to 12 computations (14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | y |
| 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 |
| 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 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.0039138115811643e-5 | 0.0006937020548111408 |
| 9.0ms | 112× | 0 | valid |
Compiled 157 to 164 computations (-4.5% saved)
ival-sub: 2.0ms (32% of total)ival-div: 1.0ms (16% of total)ival-mult: 1.0ms (16% of total)ival-sqrt: 1.0ms (16% 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 |
|---|---|---|
| 1.0ms | 2.0039138115811643e-5 | 0.0006937020548111408 |
Compiled 150 to 157 computations (-4.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.0039138115811643e-5 | 0.0006937020548111408 |
Compiled 150 to 157 computations (-4.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.671374207226574e+76 | 4.665424167054711e+82 |
| 15.0ms | -2.0755531023087447e+42 | -1.555933539957212e+40 |
| 20.0ms | 256× | 0 | valid |
Compiled 289 to 321 computations (-11.1% saved)
ival-div: 3.0ms (26.2% of total)ival-mult: 3.0ms (26.2% of total)ival-sub: 2.0ms (17.5% of total)ival-sqrt: 2.0ms (17.5% 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 |
|---|---|---|
| 1.0ms | 9.671374207226574e+76 | 4.665424167054711e+82 |
| 1.0ms | -2.0755531023087447e+42 | -1.555933539957212e+40 |
Compiled 273 to 305 computations (-11.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.671374207226574e+76 | 4.665424167054711e+82 |
| 1.0ms | -2.0755531023087447e+42 | -1.555933539957212e+40 |
Compiled 273 to 305 computations (-11.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.665424167054711e+82 | 1.0566835721146363e+90 |
| 12.0ms | -7.347850896514853e+92 | -5.815772732798298e+90 |
| 19.0ms | 256× | 0 | valid |
Compiled 257 to 289 computations (-12.5% saved)
ival-mult: 5.0ms (38.3% of total)ival-div: 3.0ms (23% of total)ival-sub: 2.0ms (15.3% of total)ival-sqrt: 2.0ms (15.3% 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 |
|---|---|---|
| 6.0ms | 4.665424167054711e+82 | 1.0566835721146363e+90 |
| 1.0ms | -7.347850896514853e+92 | -5.815772732798298e+90 |
| 3.0ms | 48× | 0 | valid |
Compiled 257 to 289 computations (-12.5% 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 |
|---|---|---|
| 1.0ms | 4.665424167054711e+82 | 1.0566835721146363e+90 |
| 1.0ms | -7.347850896514853e+92 | -5.815772732798298e+90 |
Compiled 257 to 289 computations (-12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5543.7050900577515 | 0.8800726641193489 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5543.7050900577515 | 0.8800726641193489 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 792 |
| 1 | 134 | 792 |
| 2 | 167 | 792 |
| 3 | 203 | 792 |
| 4 | 229 | 792 |
| 5 | 240 | 792 |
| 6 | 242 | 792 |
| 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 (sqrt.f64 x) #s(literal 3 binary64))))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(if (<=.f64 x #s(literal 48999163945791/72057594037927936 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 48999163945791/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 48999163945791/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -109999999999999994879165575394636112855040 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 102000000000000004157358500878761787877123097423774592786761639742845011099648 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -109999999999999994879165575394636112855040 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 102000000000000004157358500878761787877123097423774592786761639742845011099648 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -109999999999999994879165575394636112855040 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 102000000000000004157358500878761787877123097423774592786761639742845011099648 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -5999999999999999572748252001150206112289036460627182991960108783775851893058681618663735296 binary64)) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 3399999999999999808183241646624835745081690979043936365758462650413778207765556101120 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -5999999999999999572748252001150206112289036460627182991960108783775851893058681618663735296 binary64)) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4200000000000000372027505574409837164638194351497696609270069053780539712168412577792 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))))) |
(if (<=.f64 y #s(literal -5999999999999999572748252001150206112289036460627182991960108783775851893058681618663735296 binary64)) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4200000000000000372027505574409837164638194351497696609270069053780539712168412577792 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.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 -5000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.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 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -5000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #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 #s(literal 9 binary64) x))) (/.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 #s(literal 9 binary64) x))) (/.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 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(if (<=.f64 x #s(literal 48999163945791/72057594037927936 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 48999163945791/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
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#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
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#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 789 | 33 |
| 0 | 8366 | 32 |
| 0 | 41 | 176 |
| 0 | 66 | 182 |
| 1 | 280 | 156 |
| 2 | 2805 | 156 |
| 0 | 8821 | 148 |
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1980 | 659 |
| 5 | 3976 | 659 |
| 6 | 5206 | 659 |
| 7 | 6399 | 659 |
| 8 | 7529 | 659 |
| 9 | 7918 | 659 |
| 0 | 8008 | 638 |
| 0 | 73 | 3198 |
| 1 | 181 | 3161 |
| 2 | 452 | 3157 |
| 3 | 1193 | 3157 |
| 4 | 3784 | 3157 |
| 5 | 6096 | 3157 |
| 0 | 8183 | 3012 |
| 0 | 45 | 178 |
| 0 | 66 | 183 |
| 1 | 282 | 148 |
| 2 | 3011 | 143 |
| 0 | 8743 | 143 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 888 to 516 computations (41.9% saved)
Compiled 816 to 224 computations (72.5% saved)
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