
Time bar (total: 6.5s)
| 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 10 computations (41.2% saved)
| 432.0ms | 8 256× | 0 | valid |
ival-mult: 125.0ms (51.6% of total)ival-add: 108.0ms (44.6% of total)ival-true: 6.0ms (2.5% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 2 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 2 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 z z)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 z z) | overflow | 68 | |
+.f64 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 2 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | overflow | 89 | |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 89 | |
| ↳ | (*.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 z z) | overflow | 136 | |
| ↳ | (*.f64 z z) | overflow | 68 | |
+.f64 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 2 | 0 |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 89 | |
| ↳ | (*.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 z z) | overflow | 68 | |
| ↳ | (*.f64 z z) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 3 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 145 to 36 computations (75.2% saved)
ival-mult: 7.0ms (49% of total)ival-add: 6.0ms (42% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 142 |
| 1 | 104 | 120 |
| 2 | 235 | 82 |
| 3 | 602 | 81 |
| 4 | 1131 | 81 |
| 5 | 1497 | 81 |
| 6 | 2068 | 81 |
| 7 | 2586 | 81 |
| 8 | 2644 | 81 |
| 9 | 2644 | 81 |
| 0 | 8 | 15 |
| 0 | 13 | 15 |
| 1 | 20 | 13 |
| 2 | 30 | 9 |
| 3 | 42 | 9 |
| 4 | 50 | 9 |
| 5 | 53 | 9 |
| 0 | 53 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(abs z)
(sort x y)
Compiled 15 to 8 computations (46.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| cost-diff | 512 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 42 |
| 0 | 13 | 42 |
| 1 | 20 | 38 |
| 2 | 30 | 34 |
| 3 | 42 | 34 |
| 4 | 50 | 34 |
| 5 | 53 | 34 |
| 0 | 53 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
x |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(fma.f64 z z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.5039021216604116 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 0.5898396216604116 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 1.1054646216604116 | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 19.0ms | 256× | 0 | valid |
Compiled 86 to 18 computations (79.1% saved)
ival-add: 3.0ms (44.9% of total)ival-mult: 3.0ms (44.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | z | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 844 |
| 1 | 244 | 844 |
| 2 | 750 | 844 |
| 3 | 2131 | 844 |
| 4 | 5841 | 844 |
| 0 | 8161 | 763 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 11 480 to 1 016 computations (91.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 447 | 9 | 456 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 448 | 9 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| 17.6% | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) | |
| ▶ | 98.8% | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
| ▶ | 99.1% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 97.9% | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| 97.9% | (+.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 z z))) | |
| ▶ | 73.0% | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
| 98.7% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) | |
| 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| ▶ | 48.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 164 to 146 computations (11% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 z z (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) | |
| cost-diff | 384 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 132 |
| 0 | 33 | 126 |
| 1 | 54 | 118 |
| 2 | 69 | 118 |
| 3 | 77 | 118 |
| 0 | 77 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 z z (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 z z (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) | |
| accuracy | 0.7499917428166807 | (fma.f64 z z (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.1897808814288535 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.5898396216604116 | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) | |
| accuracy | 33.10842399125945 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 33.15911431535186 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.1484375 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| accuracy | 0.5156194952111204 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| 36.0ms | 256× | 0 | valid |
Compiled 222 to 36 computations (83.8% saved)
ival-add: 11.0ms (51.9% of total)ival-mult: 9.0ms (42.5% 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 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | 0 | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 2088 |
| 1 | 302 | 2088 |
| 2 | 916 | 2088 |
| 3 | 2525 | 2088 |
| 4 | 6245 | 2088 |
| 0 | 8510 | 1899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(pow z 2) |
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(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 100 |
| 0 | 33 | 94 |
| 1 | 147 | 86 |
| 2 | 1251 | 82 |
| 0 | 8691 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) z) |
(fma.f64 z z (*.f64 y x)) |
| Outputs |
|---|
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Compiled 23 048 to 896 computations (96.1% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 066 | 4 | 1 070 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 071 | 8 | 1 079 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.7% | (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
| 17.6% | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) | |
| ▶ | 59.3% | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
| ▶ | 73.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| ✓ | 99.1% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 97.9% | (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
| ▶ | 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ✓ | 48.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 128 to 116 computations (9.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (* z z) (* y x)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) | |
| cost-diff | 0 | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 147 |
| 0 | 36 | 146 |
| 1 | 55 | 140 |
| 2 | 66 | 135 |
| 3 | 80 | 135 |
| 4 | 83 | 135 |
| 0 | 83 | 131 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
z |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(*.f64 z z) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))) |
z |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(*.f64 z z) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| accuracy | 1.1054646216604116 | (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| accuracy | 26.05694306168907 | #s(approx (+ (* z z) (* y x)) (*.f64 z z)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0390625 | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) | |
| accuracy | 33.10842399125945 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| accuracy | 25.9905896467349 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.8242104928166806 | (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
| 36.0ms | 256× | 0 | valid |
Compiled 226 to 40 computations (82.3% saved)
ival-mult: 12.0ms (59.5% of total)ival-add: 8.0ms (39.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) (patch (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) (patch (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* z z) 3) (* x y))) |
| 1.0ms | z | @ | inf | ((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* z z) 3) (* x y))) |
| 1.0ms | z | @ | 0 | ((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* z z) 3) (* x y))) |
| 1.0ms | y | @ | -inf | ((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* z z) 3) (* x y))) |
| 1.0ms | x | @ | -inf | ((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* z z) 3) (* x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 2124 |
| 1 | 304 | 2124 |
| 2 | 916 | 2124 |
| 3 | 2500 | 2124 |
| 4 | 6203 | 2124 |
| 0 | 8479 | 1935 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 36 | 114 |
| 1 | 148 | 108 |
| 2 | 1138 | 101 |
| 0 | 8556 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 x y) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z z) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) z) |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
| Outputs |
|---|
#<batchref> |
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Compiled 8 113 to 426 computations (94.7% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 606 | 2 | 608 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 607 | 9 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.7% | (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
| ▶ | 17.6% | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) |
| ▶ | 59.3% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
| ✓ | 73.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| ✓ | 99.1% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ✓ | 97.9% | (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
| ✓ | 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ▶ | 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 48.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 76 to 70 computations (7.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 z #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) | |
| cost-diff | -128 | (+.f64 z z) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (* z z) (* y x)) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 122 |
| 0 | 46 | 113 |
| 1 | 76 | 112 |
| 2 | 113 | 109 |
| 3 | 142 | 109 |
| 4 | 151 | 109 |
| 5 | 151 | 109 |
| 0 | 151 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
z |
(+.f64 z z) |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(*.f64 z z) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 6 binary64)) |
z |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) |
#s(literal 0 binary64) |
(pow.f64 z #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 z z (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
z |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(*.f64 z z) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 6 binary64)) (fma.f64 y x (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) |
(*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 6 binary64)) |
z |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) |
(pow.f64 z #s(literal 4 binary64)) |
#s(literal 0 binary64) |
(pow.f64 z #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 y x (*.f64 z z)) |
(*.f64 y x) |
y |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) | |
| accuracy | 0.4137505934986335 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) | |
| accuracy | 0.7499917428166807 | (fma.f64 z z (*.f64 y x)) | |
| accuracy | 47.97689370822646 | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) | |
| accuracy | 0 | (+.f64 z z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.03515625 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| accuracy | 26.05694306168907 | #s(approx (+ (* z z) (* y x)) (*.f64 z z)) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| accuracy | 25.9905896467349 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 61.0ms | 256× | 0 | valid |
Compiled 211 to 54 computations (74.4% saved)
ival-mult: 28.0ms (64% of total)ival-add: 8.0ms (18.3% of total)ival-pow: 5.0ms (11.4% of total)ival-div: 2.0ms (4.6% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 z #s(literal 6 binary64)) (patch (pow.f64 z #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 4) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 4) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 4) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 4) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 6)) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 6)) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4)))) |
| 2.0ms | z | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4)))) |
| 2.0ms | z | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4)))) |
| 0.0ms | y | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4)))) |
| 0.0ms | x | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 1626 |
| 1 | 199 | 1626 |
| 2 | 593 | 1626 |
| 3 | 1730 | 1626 |
| 4 | 5310 | 1626 |
| 0 | 8243 | 1491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(* 2 (pow z 6)) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(pow z 6) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(/ 1 (pow z 4)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
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(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 105 |
| 0 | 46 | 95 |
| 1 | 199 | 89 |
| 0 | 1643 | 87 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
#s(approx (+ (* z z) (* y x)) (*.f64 z z)) |
(*.f64 z z) |
(+.f64 z z) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) |
(pow.f64 z #s(literal 6 binary64)) |
(fma.f64 z z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) |
| Outputs |
|---|
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Compiled 7 802 to 586 computations (92.5% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 3 | 473 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 471 | 11 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.7% | (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
| 19.5% | (fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| ✓ | 59.3% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
| 74.5% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) | |
| ✓ | 73.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| 31.5% | (fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) | |
| ✓ | 99.1% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ✓ | 97.9% | (+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
| ✓ | 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ✓ | 59.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 48.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 266 to 135 computations (49.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(+.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
6 calls:
| 44.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 6.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
| 99.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 99.1% | 1 | (*.f64 x y) |
| 99.1% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
6 calls:
| 8.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | y |
| 98.7% | 1 | z |
| 98.7% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 98.7% | 1 | (*.f64 x y) |
| 98.7% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
| Outputs |
|---|
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
6 calls:
| 6.0ms | (*.f64 x y) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | x |
| 81.9% | 3 | y |
| 85.1% | 2 | z |
| 85.8% | 3 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 87.2% | 3 | (*.f64 x y) |
| 85.1% | 2 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) |
1 calls:
| 5.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (*.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
| Outputs |
|---|
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
1 calls:
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 3 | (*.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
1 calls:
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 3 | (*.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
4 calls:
| 5.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 2.0ms | z |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 2 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 83.5% | 2 | z |
| 83.5% | 2 | (*.f64 z z) |
| 81.7% | 3 | (*.f64 x y) |
Compiled 22 to 19 computations (13.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
6 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 z z) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | (*.f64 x y) |
| 48.2% | 1 | y |
| 48.2% | 1 | x |
| 48.2% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 48.2% | 1 | z |
| 48.2% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.973396777949924e-30 | 2.0965084816988977e-22 |
| 0.0ms | -3.4955037489102198e+22 | -22645631281.63044 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.973396777949924e-30 | 2.0965084816988977e-22 |
| 0.0ms | -3.4955037489102198e+22 | -22645631281.63044 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.973396777949924e-30 | 2.0965084816988977e-22 |
| 0.0ms | -3.4955037489102198e+22 | -22645631281.63044 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.973396777949924e-30 | 2.0965084816988977e-22 |
| 0.0ms | -3.4955037489102198e+22 | -22645631281.63044 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4253859089981765e+23 | 9.28228285582219e+32 |
Compiled 14 to 14 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 361 |
| 1 | 53 | 361 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))))) |
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999983222784 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 x y))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 x y))))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 x y) #s(literal -20000000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))))) |
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999983222784 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999983222784 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 2088 |
| 1 | 302 | 2088 |
| 2 | 916 | 2088 |
| 3 | 2525 | 2088 |
| 4 | 6245 | 2088 |
| 0 | 8510 | 1899 |
| 0 | 70 | 844 |
| 1 | 244 | 844 |
| 2 | 750 | 844 |
| 3 | 2131 | 844 |
| 4 | 5841 | 844 |
| 0 | 8161 | 763 |
| 0 | 87 | 2124 |
| 1 | 304 | 2124 |
| 2 | 916 | 2124 |
| 3 | 2500 | 2124 |
| 4 | 6203 | 2124 |
| 0 | 8479 | 1935 |
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 0 | 21 | 100 |
| 0 | 33 | 94 |
| 1 | 147 | 86 |
| 2 | 1251 | 82 |
| 0 | 8691 | 79 |
| 0 | 62 | 1626 |
| 1 | 199 | 1626 |
| 2 | 593 | 1626 |
| 3 | 1730 | 1626 |
| 4 | 5310 | 1626 |
| 0 | 8243 | 1491 |
| 0 | 24 | 115 |
| 0 | 36 | 114 |
| 1 | 148 | 108 |
| 2 | 1138 | 101 |
| 0 | 8556 | 95 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 546 to 256 computations (53.1% saved)
(sort x y)
(abs z)
Compiled 530 to 218 computations (58.9% saved)
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