
Time bar (total: 3.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 579.0ms | 8 256× | 0 | valid |
ival-mult: 131.0ms (70.5% of total)ival-add: 46.0ms (24.8% of total)ival-true: 6.0ms (3.2% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 54.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-mult: 7.0ms (72.8% of total)ival-add: 2.0ms (20.8% 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 | 13 | 37 |
| 1 | 36 | 37 |
| 2 | 88 | 37 |
| 3 | 187 | 37 |
| 4 | 227 | 37 |
| 5 | 232 | 37 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 9 | 7 |
| 0 | 9 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(abs y)
(abs x)
(sort x y)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 9 | 15 |
| 0 | 9 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-mult: 3.0ms (65.8% of total)ival-add: 1.0ms (21.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | x | @ | inf | ((+ (* x x) (* y y)) (* x x) (* y y)) |
| 0.0ms | y | @ | -inf | ((+ (* x x) (* y y)) (* x x) (* y y)) |
| 0.0ms | x | @ | -inf | ((+ (* x x) (* y y)) (* x x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 216 |
| 1 | 34 | 216 |
| 2 | 84 | 216 |
| 3 | 339 | 216 |
| 4 | 999 | 216 |
| 5 | 1880 | 216 |
| 6 | 2167 | 216 |
| 7 | 2678 | 216 |
| 8 | 3990 | 216 |
| 9 | 5169 | 216 |
| 10 | 5742 | 216 |
| 11 | 6153 | 216 |
| 12 | 6344 | 216 |
| 13 | 6378 | 216 |
| 14 | 6378 | 216 |
| 15 | 7574 | 216 |
| 0 | 8269 | 198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 25 | 13 |
| 2 | 179 | 13 |
| 3 | 1653 | 13 |
| 0 | 8258 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 5 658 to 514 computations (90.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 2 | 220 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 219 | 2 | 221 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y y (*.f64 x x)) |
| ▶ | 99.5% | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 0 | 11 | 25 |
| 1 | 11 | 25 |
| 0 | 11 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.28806961482087234 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 51 to 17 computations (66.7% saved)
ival-mult: 7.0ms (78.4% of total)ival-add: 2.0ms (22.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | ((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x)) |
| 0.0ms | x | @ | inf | ((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x)) |
| 0.0ms | x | @ | -inf | ((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x)) |
| 0.0ms | y | @ | -inf | ((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x)) |
| 0.0ms | y | @ | 0 | ((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 360 |
| 1 | 34 | 360 |
| 2 | 84 | 360 |
| 3 | 339 | 360 |
| 4 | 999 | 360 |
| 5 | 1880 | 360 |
| 6 | 2167 | 360 |
| 7 | 2678 | 360 |
| 8 | 3990 | 360 |
| 9 | 5169 | 360 |
| 10 | 5742 | 360 |
| 11 | 6153 | 360 |
| 12 | 6344 | 360 |
| 13 | 6378 | 360 |
| 14 | 6378 | 360 |
| 15 | 7574 | 360 |
| 0 | 8269 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 0 | 11 | 22 |
| 1 | 35 | 22 |
| 2 | 274 | 22 |
| 3 | 2977 | 22 |
| 0 | 8394 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 908 to 739 computations (90.7% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 0 | 296 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 296 | 2 | 298 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y y (*.f64 x x)) |
| ✓ | 99.5% | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
Compiled 41 to 21 computations (48.8% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
5 calls:
| 11.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 15 to 15 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 99.5% | 1 | (*.f64 x x) |
| 99.5% | 1 | (*.f64 y y) |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 216 |
| 1 | 34 | 216 |
| 2 | 84 | 216 |
| 3 | 339 | 216 |
| 4 | 999 | 216 |
| 5 | 1880 | 216 |
| 6 | 2167 | 216 |
| 7 | 2678 | 216 |
| 8 | 3990 | 216 |
| 9 | 5169 | 216 |
| 10 | 5742 | 216 |
| 11 | 6153 | 216 |
| 12 | 6344 | 216 |
| 13 | 6378 | 216 |
| 14 | 6378 | 216 |
| 15 | 7574 | 216 |
| 0 | 8269 | 198 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 25 | 13 |
| 2 | 179 | 13 |
| 3 | 1653 | 13 |
| 0 | 8258 | 12 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 33 to 18 computations (45.5% saved)
(abs x)
(abs y)
Compiled 96 to 60 computations (37.5% saved)
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