Data.HyperLogLog.Config:hll from hyperloglog-0.3.4
Time bar (total: 3.5s)
| 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 7 to 6 computations (14.3% saved)
| 355.0ms | 8 256× | 0 | valid |
ival-mult: 164.0ms (94.6% of total)ival-true: 6.0ms (3.5% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 7.0ms (93.4% of total)ival-true: 1.0ms (13.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 96× | associate-*r* |
| 58× | unsub-neg |
| 54× | distribute-lft-in |
| 50× | distribute-lft-neg-in |
| 38× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 46 | 27 |
| 2 | 112 | 27 |
| 3 | 248 | 27 |
| 4 | 364 | 27 |
| 5 | 390 | 27 |
| 6 | 396 | 27 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 10 | 5 |
| 2 | 11 | 5 |
| 0 | 11 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
(abs y)
(negabs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) |
| 14× | lower-*.f32 |
| 10× | lower-*.f64 |
| 4× | *-commutative |
| 4× | lift-*.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 11 | 10 |
| 0 | 11 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 x y) y) |
| 26.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 4.0ms (94.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* (* x y) y) (* x y)) |
| 1.0ms | y | @ | 0 | ((* (* x y) y) (* x y)) |
| 1.0ms | x | @ | -inf | ((* (* x y) y) (* x y)) |
| 1.0ms | y | @ | inf | ((* (* x y) y) (* x y)) |
| 1.0ms | x | @ | inf | ((* (* x y) y) (* x y)) |
| 1× | egg-herbie |
| 14× | lower-*.f64 |
| 14× | lower-*.f32 |
| 4× | *-commutative |
| 2× | lower-pow.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 192 |
| 1 | 9 | 192 |
| 2 | 11 | 192 |
| 0 | 11 | 192 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 592× | lower-*.f32 |
| 1 590× | lower-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 13 | 10 |
| 3 | 20 | 10 |
| 4 | 36 | 10 |
| 5 | 92 | 10 |
| 6 | 279 | 6 |
| 7 | 1676 | 2 |
| 8 | 1701 | 2 |
| 9 | 1824 | 2 |
| 10 | 3054 | 2 |
| 0 | 8413 | 2 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 x y) |
(*.f64 y x) |
x |
(*.f64 x y) |
(*.f64 y x) |
x |
Compiled 308 to 11 computations (96.4% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 3 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 4 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
| ▶ | 26.8% | (*.f64 y x) |
| ▶ | 88.4% | #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
| ▶ | 4.9% | x |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
| 14× | lower-*.f32 |
| 8× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lift-*.f64 |
| 4× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 11 | 27 |
| 1 | 15 | 27 |
| 0 | 15 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
x |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
x |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 y x) |
y |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) | |
| accuracy | 7.4546027106772765 | (*.f64 (*.f64 y y) x) |
| 15.0ms | 256× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-mult: 8.0ms (91.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) (patch #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (* x y) y) (* (* y y) x) (* y y) (* y x)) |
| 1.0ms | y | @ | inf | ((* (* x y) y) (* (* y y) x) (* y y) (* y x)) |
| 1.0ms | y | @ | -inf | ((* (* x y) y) (* (* y y) x) (* y y) (* y x)) |
| 0.0ms | x | @ | inf | ((* (* x y) y) (* (* y y) x) (* y y) (* y x)) |
| 0.0ms | y | @ | 0 | ((* (* x y) y) (* (* y y) x) (* y y) (* y x)) |
| 1× | egg-herbie |
| 14× | lower-*.f64 |
| 14× | lower-*.f32 |
| 4× | *-commutative |
| 2× | lower-pow.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 348 |
| 1 | 9 | 348 |
| 2 | 11 | 348 |
| 0 | 11 | 348 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 592× | lower-*.f32 |
| 1 590× | lower-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 11 | 24 |
| 1 | 17 | 24 |
| 2 | 24 | 24 |
| 3 | 40 | 24 |
| 4 | 96 | 24 |
| 5 | 286 | 14 |
| 6 | 1705 | 6 |
| 7 | 1731 | 6 |
| 8 | 1854 | 6 |
| 9 | 3076 | 6 |
| 0 | 8390 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (* (* x y) y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
Compiled 519 to 19 computations (96.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 0 | 93 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 93 | 4 | 97 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
| ✓ | 26.8% | (*.f64 y x) |
| ✓ | 88.4% | #s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
| ✓ | 4.9% | x |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 x y) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
| Outputs |
|---|
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | x |
| 88.4% | 1 | y |
| 88.4% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.8% | 1 | y |
| 26.8% | 1 | (*.f64 (*.f64 x y) y) |
| 26.8% | 1 | x |
Compiled 7 to 8 computations (-14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.9% | 1 | y |
| 4.9% | 1 | (*.f64 (*.f64 x y) y) |
| 4.9% | 1 | x |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 12 | 20 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 y x) |
x |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
#s(approx (* (* x y) y) (*.f64 (*.f64 y y) x)) |
(*.f64 y x) |
x |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 592× | lower-*.f32 |
| 1 590× | lower-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 13 | 10 |
| 3 | 20 | 10 |
| 4 | 36 | 10 |
| 5 | 92 | 10 |
| 6 | 279 | 6 |
| 7 | 1676 | 2 |
| 8 | 1701 | 2 |
| 9 | 1824 | 2 |
| 10 | 3054 | 2 |
| 0 | 8413 | 2 |
| 0 | 6 | 192 |
| 1 | 9 | 192 |
| 2 | 11 | 192 |
| 0 | 11 | 192 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 20 to 11 computations (45% saved)
(negabs x)
(abs y)
Compiled 80 to 54 computations (32.5% saved)
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