
Time bar (total: 5.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 17 to 9 computations (47.1% saved)
| 411.0ms | 8 256× | 0 | valid |
ival-mult: 127.0ms (51.7% of total)ival-add: 110.0ms (44.8% of total)ival-true: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 68 | (-4.0324734378073704e-213 -1.83601132906522e+237) | 0 | - | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
| 0 | 21 | (-5.081930610066562e+262 5.56042255936833e+213) | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 68 | (-4.0324734378073704e-213 -1.83601132906522e+237) | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) | nan-rescue | 68 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | overflow | 117 | |
| ↳ | (*.f64 y y) | overflow | 136 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 117 | |
| ↳ | (*.f64 y y) | overflow | 68 | |
+.f64 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | nan-rescue | 68 | 0 |
| ↳ | (*.f64 y y) | overflow | 68 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 117 | |
| ↳ | (*.f64 y y) | overflow | 68 | |
+.f64 | (+.f64 (*.f64 x x) (*.f64 y y)) | nan-rescue | 21 | 0 |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (*.f64 y y) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 68 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 68 | 0 | 188 |
| number | freq |
|---|---|
| 0 | 188 |
| 2 | 47 |
| 3 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 142 to 32 computations (77.5% saved)
ival-mult: 7.0ms (49.7% of total)ival-add: 6.0ms (42.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 188× | unsub-neg |
| 188× | sub-neg |
| 170× | cancel-sign-sub |
| 142× | distribute-lft-neg-in |
| 130× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 77 |
| 1 | 64 | 67 |
| 2 | 171 | 47 |
| 3 | 517 | 45 |
| 4 | 1117 | 45 |
| 5 | 1322 | 45 |
| 6 | 1332 | 45 |
| 0 | 7 | 15 |
| 0 | 12 | 15 |
| 1 | 18 | 13 |
| 2 | 28 | 9 |
| 3 | 40 | 9 |
| 4 | 48 | 9 |
| 5 | 51 | 9 |
| 0 | 51 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(abs y)
(abs x)
Compiled 15 to 7 computations (53.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
Compiled 15 to 7 computations (53.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| cost-diff | 512 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 52× | lower-fma.f64 |
| 52× | lower-fma.f32 |
| 36× | lower-+.f32 |
| 30× | lower-+.f64 |
| 28× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 41 |
| 0 | 12 | 41 |
| 1 | 18 | 37 |
| 2 | 28 | 33 |
| 3 | 40 | 33 |
| 4 | 48 | 33 |
| 5 | 51 | 33 |
| 0 | 51 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| accuracy | 0.0625 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 15.0ms | 256× | 0 | valid |
Compiled 43 to 9 computations (79.1% saved)
ival-add: 5.0ms (55.6% of total)ival-mult: 3.0ms (33.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1× | egg-herbie |
| 10 540× | lower-fma.f64 |
| 10 540× | lower-fma.f32 |
| 6 708× | lower-*.f64 |
| 6 708× | lower-*.f32 |
| 1 856× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 588 |
| 1 | 86 | 588 |
| 2 | 217 | 588 |
| 3 | 853 | 588 |
| 4 | 2013 | 588 |
| 5 | 2661 | 588 |
| 6 | 4205 | 588 |
| 7 | 5672 | 588 |
| 8 | 6662 | 588 |
| 9 | 7939 | 588 |
| 0 | 8060 | 534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 2 binary64)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 2 binary64)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 2 binary64)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 9 354× | lower-fma.f64 |
| 9 354× | lower-fma.f32 |
| 4 470× | lower-*.f32 |
| 4 466× | lower-*.f64 |
| 3 310× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 54 | 35 |
| 2 | 517 | 29 |
| 3 | 7592 | 29 |
| 0 | 8199 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (/.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) |
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(fma.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(fma.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 x x)) |
(fma.f64 y y (fma.f64 y y (*.f64 x x))) |
(fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(-.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) y (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 11 477 to 1 089 computations (90.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 6 | 469 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 464 | 6 | 470 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
| 99.9% | (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) | |
| ▶ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ▶ | 80.8% | (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
| ▶ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| ▶ | 60.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
Compiled 92 to 70 computations (23.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 384 | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
| 54× | lower-fma.f32 |
| 48× | lower-fma.f64 |
| 40× | lower-+.f32 |
| 38× | lower-+.f64 |
| 28× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 139 |
| 0 | 31 | 138 |
| 1 | 51 | 118 |
| 2 | 63 | 118 |
| 3 | 71 | 118 |
| 0 | 71 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0625 | (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) | |
| accuracy | 25.60328323524907 | #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.125 | (*.f64 (*.f64 y y) #s(literal 3 binary64)) | |
| accuracy | 27.79418105638717 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 25.611042432499513 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) | |
| accuracy | 0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.01953125 | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
| 28.0ms | 256× | 0 | valid |
Compiled 127 to 18 computations (85.8% saved)
ival-mult: 9.0ms (54.4% of total)ival-add: 7.0ms (42.3% 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 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x))) |
| 1.0ms | y | @ | inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x))) |
| 1.0ms | x | @ | inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x))) |
| 1.0ms | x | @ | 0 | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x))) |
| 1.0ms | y | @ | 0 | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x))) |
| 1× | egg-herbie |
| 10 394× | lower-fma.f64 |
| 10 394× | lower-fma.f32 |
| 6 572× | lower-*.f64 |
| 6 572× | lower-*.f32 |
| 1 976× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 1428 |
| 1 | 97 | 1428 |
| 2 | 237 | 1428 |
| 3 | 944 | 1428 |
| 4 | 2231 | 1428 |
| 5 | 2876 | 1428 |
| 6 | 4467 | 1428 |
| 7 | 6000 | 1428 |
| 8 | 6978 | 1428 |
| 0 | 8136 | 1302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
| 7 230× | lower-fma.f32 |
| 7 224× | lower-fma.f64 |
| 4 500× | lower-/.f64 |
| 4 500× | lower-/.f32 |
| 3 920× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 113 |
| 0 | 31 | 112 |
| 1 | 130 | 92 |
| 2 | 1155 | 88 |
| 0 | 8283 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (+.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (+.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 (fma.f64 y y (*.f64 x x))))) (*.f64 y y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 y y)) |
(fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 y y)) |
(fma.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))))) (*.f64 x x)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y y)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (neg.f64 (fma.f64 y y (*.f64 x x)))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) (*.f64 y y)) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y y) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) y)))) (*.f64 y y)) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (neg.f64 (fma.f64 y y (*.f64 x x)))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (fma.f64 y y (*.f64 x x))) |
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) y) (*.f64 x x)) |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x)) |
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) |
(+.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y y)) |
(+.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 15 614 to 941 computations (94% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 4 | 782 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 781 | 7 | 788 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
| ▶ | 80.8% | (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ▶ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| ▶ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 60.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
Compiled 48 to 39 computations (18.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) | |
| cost-diff | -128 | (+.f64 y y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) | |
| cost-diff | 384 | (fma.f64 y (+.f64 y y) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| 54× | lower-fma.f32 |
| 48× | lower-fma.f64 |
| 40× | lower-+.f32 |
| 38× | lower-+.f64 |
| 28× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 125 |
| 0 | 28 | 111 |
| 1 | 45 | 101 |
| 2 | 56 | 101 |
| 3 | 59 | 101 |
| 0 | 59 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
y |
(+.f64 y y) |
(*.f64 y y) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
y |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
y |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y y) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
y |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(*.f64 x x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) | |
| accuracy | 25.60328323524907 | #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.03515625 | (fma.f64 y (+.f64 y y) (*.f64 y y)) | |
| accuracy | 27.79418105638717 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| accuracy | 27.79418105638717 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 107 to 17 computations (84.1% saved)
ival-mult: 8.0ms (51.4% of total)ival-add: 7.0ms (44.9% 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 #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 3 y) y) (* x x))) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 3 y) y) (* x x))) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 3 y) y) (* x x))) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 3 y) y) (* x x))) |
| 1.0ms | x | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 3 y) y) (* x x))) |
| 1× | egg-herbie |
| 22 768× | lower-fma.f64 |
| 22 768× | lower-fma.f32 |
| 4 364× | lower-*.f64 |
| 4 364× | lower-*.f32 |
| 2 428× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1194 |
| 1 | 83 | 1194 |
| 2 | 203 | 1194 |
| 3 | 772 | 1194 |
| 4 | 2604 | 1194 |
| 5 | 3481 | 1194 |
| 6 | 6215 | 1194 |
| 0 | 8013 | 1104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)) |
| 954× | lower-fma.f32 |
| 948× | lower-fma.f64 |
| 518× | lower-*.f32 |
| 510× | lower-*.f64 |
| 382× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 111 |
| 0 | 28 | 97 |
| 1 | 116 | 83 |
| 0 | 1023 | 81 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(*.f64 y y) |
(+.f64 y y) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y (*.f64 #s(literal 3 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 x x)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x)) |
(fma.f64 y y (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 x x)) |
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y)) |
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
Compiled 4 820 to 467 computations (90.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 1 | 415 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 414 | 8 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
| ✓ | 80.8% | (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| ▶ | 19.8% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 60.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
Compiled 64 to 52 computations (18.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) | |
| cost-diff | 64 | (fma.f64 y y #s(literal 0 binary64)) | |
| cost-diff | 7872 | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
| 11 452× | lower-fma.f32 |
| 11 448× | lower-fma.f64 |
| 6 466× | lower-*.f32 |
| 6 462× | lower-*.f64 |
| 2 178× | distribute-lft-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 82 |
| 0 | 25 | 77 |
| 1 | 46 | 72 |
| 2 | 112 | 46 |
| 3 | 352 | 44 |
| 4 | 1249 | 44 |
| 5 | 2001 | 44 |
| 6 | 2680 | 44 |
| 7 | 3582 | 44 |
| 8 | 4515 | 44 |
| 9 | 5393 | 44 |
| 10 | 5740 | 44 |
| 11 | 5967 | 44 |
| 12 | 7495 | 44 |
| 0 | 8767 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 y y) |
#s(literal 0 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) | |
| accuracy | 0.2845666920162756 | (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) | |
| accuracy | 18.305556200992708 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) | |
| accuracy | 28.470971138567137 | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
| 69.0ms | 85× | 5 | exit |
| 21.0ms | 171× | 0 | valid |
Compiled 74 to 20 computations (73% saved)
ival-mult: 40.0ms (53% of total)adjust: 15.0ms (19.9% of total)ival-add: 9.0ms (11.9% of total)ival-pow: 6.0ms (7.9% of total)ival-div: 5.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 y) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) y) (/ 1 (+ (* y y) 0))) |
| 1.0ms | y | @ | inf | ((+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) y) (/ 1 (+ (* y y) 0))) |
| 1.0ms | y | @ | -inf | ((+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) y) (/ 1 (+ (* y y) 0))) |
| 0.0ms | x | @ | inf | ((+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) y) (/ 1 (+ (* y y) 0))) |
| 0.0ms | x | @ | -inf | ((+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ (* (* 2 (pow y 3)) (/ 1 (+ (* y y) 0))) y) y) (/ 1 (+ (* y y) 0))) |
| 1× | egg-herbie |
| 9 502× | lower-fma.f64 |
| 9 502× | lower-fma.f32 |
| 3 994× | lower-*.f64 |
| 3 994× | lower-*.f32 |
| 1 354× | distribute-lft-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 378 |
| 1 | 58 | 378 |
| 2 | 151 | 378 |
| 3 | 553 | 378 |
| 4 | 1841 | 378 |
| 5 | 2639 | 378 |
| 6 | 3835 | 378 |
| 7 | 7145 | 378 |
| 0 | 8280 | 360 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(* 3 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
| Outputs |
|---|
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow x 2) |
(*.f64 x x) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| 5 914× | lower-fma.f32 |
| 5 912× | lower-fma.f64 |
| 2 586× | lower-/.f32 |
| 2 584× | lower-/.f64 |
| 1 986× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 69 |
| 0 | 25 | 51 |
| 1 | 120 | 45 |
| 2 | 1287 | 21 |
| 0 | 10417 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -4 binary64)))) |
(*.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 y (pow.f64 y #s(literal -4 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) |
(*.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 y y) y) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
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(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 y y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 y y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 y y (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(fma.f64 y y #s(literal 0 binary64)) |
(-.f64 (*.f64 y y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 y y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) y) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 y y)) |
(*.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 y y) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) y) (/.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal -4 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -6 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 y (/.f64 y (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y y) (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) y) (/.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal -4 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -6 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) |
(-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))) |
Compiled 8 771 to 1 651 computations (81.2% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 2 | 561 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 560 | 9 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
| ✓ | 80.8% | (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| 19.8% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)) | |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| ✓ | 56.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| 37.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) | |
| ✓ | 60.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
Compiled 193 to 97 computations (49.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) y)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
5 calls:
| 11.0ms | x |
| 5.0ms | y |
| 5.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 4.0ms | (*.f64 x x) |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
5 calls:
| 6.0ms | y |
| 4.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
5 calls:
| 6.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | x |
| 83.9% | 2 | y |
| 80.8% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 91.9% | 2 | (*.f64 x x) |
| 83.9% | 2 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | x |
| 91.8% | 2 | (*.f64 x x) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | y |
| 82.1% | 2 | (*.f64 y y) |
| 82.5% | 2 | x |
| 82.5% | 2 | (*.f64 x x) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
2 calls:
| 6.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 2 | x |
| 82.5% | 2 | (*.f64 x x) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
5 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 2 | y |
| 77.9% | 2 | (*.f64 y y) |
| 60.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 68.3% | 2 | x |
| 68.3% | 2 | (*.f64 x x) |
Compiled 23 to 17 computations (26.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | x |
| 60.0% | 1 | (*.f64 x x) |
| 60.0% | 1 | y |
| 60.0% | 1 | (*.f64 y y) |
Compiled 8 to 10 computations (-25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 9.856591726301308e-200 | 2.9839246498299394e-198 |
| 5.0ms | 112× | 0 | valid |
Compiled 116 to 96 computations (17.2% saved)
ival-add: 1.0ms (44.2% of total)ival-mult: 1.0ms (44.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.856591726301308e-200 | 2.9839246498299394e-198 |
Compiled 95 to 96 computations (-1.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.7268271975128098e-137 | 1.8736585359281827e-135 |
| 4.0ms | 112× | 0 | valid |
Compiled 74 to 89 computations (-20.3% saved)
ival-add: 1.0ms (42.9% of total)ival-mult: 1.0ms (42.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.7268271975128098e-137 | 1.8736585359281827e-135 |
Compiled 74 to 89 computations (-20.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 140.0ms | 5.269839103945875e+295 | 1.6905457845747727e+303 |
| 132.0ms | 122× | 0 | valid |
| 2.0ms | 9× | 4 | valid |
| 1.0ms | 6× | 1 | valid |
| 0.0ms | 4× | 2 | valid |
| 0.0ms | 3× | 3 | valid |
Compiled 68 to 93 computations (-36.8% saved)
ival-add: 130.0ms (98.5% of total)adjust: 1.0ms (0.8% of total)ival-mult: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 267 |
| 1 | 42 | 267 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 4524558497075849/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 4524558497075849/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 5564764033423441/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 5564764033423441/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))) |
(if (<=.f64 (*.f64 y y) #s(literal 1650000000000000106856284376385143064416023133667110223396298033162238698840195809744305706264238455886401409471984767013217806884969143935996266444308784147655134784521416986815823315846854634218493946584151041344636909054276153454644559439126404314992322590294843719646704288805481252731216754770968576 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 4524558497075849/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 4524558497075849/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 5564764033423441/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 5564764033423441/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))) |
(if (<=.f64 (*.f64 y y) #s(literal 1650000000000000106856284376385143064416023133667110223396298033162238698840195809744305706264238455886401409471984767013217806884969143935996266444308784147655134784521416986815823315846854634218493946584151041344636909054276153454644559439126404314992322590294843719646704288805481252731216754770968576 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| 10 540× | lower-fma.f64 |
| 10 540× | lower-fma.f32 |
| 9 354× | lower-fma.f64 |
| 9 354× | lower-fma.f32 |
| 7 230× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 588 |
| 1 | 86 | 588 |
| 2 | 217 | 588 |
| 3 | 853 | 588 |
| 4 | 2013 | 588 |
| 5 | 2661 | 588 |
| 6 | 4205 | 588 |
| 7 | 5672 | 588 |
| 8 | 6662 | 588 |
| 9 | 7939 | 588 |
| 0 | 8060 | 534 |
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 54 | 35 |
| 2 | 517 | 29 |
| 3 | 7592 | 29 |
| 0 | 8199 | 26 |
| 0 | 18 | 69 |
| 0 | 25 | 51 |
| 1 | 120 | 45 |
| 2 | 1287 | 21 |
| 0 | 10417 | 20 |
| 0 | 20 | 113 |
| 0 | 31 | 112 |
| 1 | 130 | 92 |
| 2 | 1155 | 88 |
| 0 | 8283 | 85 |
| 0 | 19 | 111 |
| 0 | 28 | 97 |
| 1 | 116 | 83 |
| 0 | 1023 | 81 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 276 to 139 computations (49.6% saved)
(abs x)
(abs y)
Compiled 360 to 150 computations (58.3% saved)
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