
Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 7 computations (0% saved)
| 344.0ms | 8 256× | 0 | valid |
ival-mult: 68.0ms (51.5% of total)ival-div: 55.0ms (41.7% of total)ival-true: 6.0ms (4.5% of total)ival-assert: 3.0ms (2.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 3 | (-6.324609230103286e-113 -7.742693236528056e-206 -1.6660020807513994e-148) | (/.f64 (*.f64 x y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) z) | u/n | 9 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 | |
/.f64 | (/.f64 (*.f64 x y) z) | o/n | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 22 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 3 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 3 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 4.0ms (49.3% of total)ival-mult: 4.0ms (49.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 818× | times-frac |
| 190× | distribute-lft-in |
| 186× | associate-*r/ |
| 186× | associate-/r* |
| 180× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 56 |
| 1 | 59 | 48 |
| 2 | 146 | 48 |
| 3 | 490 | 48 |
| 4 | 1227 | 48 |
| 5 | 1922 | 48 |
| 6 | 1976 | 48 |
| 7 | 1994 | 48 |
| 8 | 2034 | 48 |
| 9 | 2058 | 48 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 10 | 5 |
| 2 | 13 | 5 |
| 3 | 14 | 5 |
| 0 | 14 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x y) z) |
| Outputs |
|---|
(/.f64 (*.f64 x y) z) |
(/.f64 (*.f64 y x) z) |
(negabs z)
(negabs y)
(negabs x)
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.9% | (/.f64 (*.f64 x y) z) |
Compiled 5 to 5 computations (0% 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) z) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 13 | 11 |
| 3 | 14 | 11 |
| 0 | 14 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x y) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 3.8950963233602915 | (/.f64 (*.f64 x y) z) |
| 14.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-mult: 6.0ms (75.6% of total)ival-div: 2.0ms (25.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) 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) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) 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) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) 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) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<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 y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) 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>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) 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 | @ | 0 | ((/ (* x y) z) (* x y)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) z) (* x y)) |
| 1.0ms | x | @ | -inf | ((/ (* x y) z) (* x y)) |
| 1.0ms | y | @ | 0 | ((/ (* x y) z) (* x y)) |
| 1.0ms | y | @ | inf | ((/ (* x y) z) (* x y)) |
| 1× | egg-herbie |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 6× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 252 |
| 1 | 8 | 252 |
| 2 | 11 | 252 |
| 3 | 12 | 252 |
| 0 | 12 | 252 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 1 066× | lower-*.f32 |
| 1 064× | lower-*.f64 |
| 848× | lower-/.f32 |
| 846× | lower-/.f64 |
| 234× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 71 | 8 |
| 3 | 361 | 8 |
| 0 | 2367 | 8 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 1 723 to 296 computations (82.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 6 | 192 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 7 | 193 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.6% | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| 62.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y))) | |
| ✓ | 93.9% | (/.f64 (*.f64 x y) z) |
| ▶ | 92.3% | (/.f64 y (/.f64 z x)) |
| ▶ | 92.0% | (/.f64 x (/.f64 z y)) |
| ▶ | 91.6% | (*.f64 (/.f64 y z) x) |
| ▶ | 92.8% | (*.f64 (/.f64 x z) y) |
Compiled 105 to 83 computations (21% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 384 | (/.f64 y (/.f64 z x)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 384 | (/.f64 x (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 1792 | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| 704× | times-frac |
| 416× | lower-fma.f64 |
| 416× | lower-fma.f32 |
| 416× | lower-*.f32 |
| 412× | lower-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 0 | 28 | 84 |
| 1 | 39 | 84 |
| 2 | 55 | 74 |
| 3 | 104 | 64 |
| 4 | 180 | 64 |
| 5 | 431 | 64 |
| 6 | 1082 | 64 |
| 7 | 1843 | 64 |
| 8 | 1957 | 64 |
| 9 | 2035 | 64 |
| 10 | 2088 | 64 |
| 11 | 2088 | 64 |
| 0 | 2088 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
y |
x |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
y |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
y |
x |
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 y z) x) |
x |
(/.f64 z y) |
z |
y |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
y |
(/.f64 z x) |
z |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 4.904452277130287 | (/.f64 y (/.f64 z x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 5.09280203324418 | (/.f64 x (/.f64 z y)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 5.375888257625257 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 4.60152835001675 | (*.f64 (/.f64 x z) y) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.19921875 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 4.022274363873487 | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| 41.0ms | 256× | 0 | valid |
Compiled 70 to 18 computations (74.3% saved)
ival-div: 19.0ms (87.8% of total)ival-mult: 3.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | x | @ | -inf | ((/ (/ -1 z) (/ (/ -1 y) x)) (/ -1 z) (/ (/ -1 y) x) (/ -1 y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x)) |
| 3.0ms | y | @ | 0 | ((/ (/ -1 z) (/ (/ -1 y) x)) (/ -1 z) (/ (/ -1 y) x) (/ -1 y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x)) |
| 2.0ms | z | @ | -inf | ((/ (/ -1 z) (/ (/ -1 y) x)) (/ -1 z) (/ (/ -1 y) x) (/ -1 y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x)) |
| 2.0ms | z | @ | 0 | ((/ (/ -1 z) (/ (/ -1 y) x)) (/ -1 z) (/ (/ -1 y) x) (/ -1 y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x)) |
| 1.0ms | z | @ | inf | ((/ (/ -1 z) (/ (/ -1 y) x)) (/ -1 z) (/ (/ -1 y) x) (/ -1 y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x)) |
| 1× | egg-herbie |
| 22× | lower-/.f32 |
| 22× | lower-/.f64 |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 1380 |
| 1 | 17 | 1380 |
| 2 | 20 | 1380 |
| 3 | 21 | 1380 |
| 0 | 21 | 1380 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 1 280× | lower-*.f32 |
| 1 276× | lower-*.f64 |
| 1 128× | lower--.f32 |
| 1 128× | lower--.f64 |
| 912× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 52 |
| 0 | 28 | 68 |
| 1 | 87 | 48 |
| 2 | 473 | 48 |
| 3 | 2391 | 48 |
| 4 | 7316 | 48 |
| 0 | 8085 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 x (/.f64 z y)) |
(/.f64 z y) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
| Outputs |
|---|
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Compiled 11 430 to 1 229 computations (89.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 104 | 1 | 1 105 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 105 | 7 | 1 112 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.6% | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| ▶ | 63.4% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
| ✓ | 93.9% | (/.f64 (*.f64 x y) z) |
| ✓ | 92.3% | (/.f64 y (/.f64 z x)) |
| ✓ | 92.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 91.6% | (*.f64 (/.f64 y z) x) |
| ✓ | 92.8% | (*.f64 (/.f64 x z) y) |
Compiled 50 to 44 computations (12% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 320 | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) | |
| cost-diff | 1024 | (*.f64 (/.f64 z x) (neg.f64 x)) | |
| cost-diff | 1408 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
| 2 888× | lower-*.f32 |
| 2 884× | lower-*.f64 |
| 2 008× | lower-/.f32 |
| 2 002× | lower-/.f64 |
| 1 792× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 18 | 53 |
| 1 | 42 | 47 |
| 2 | 139 | 39 |
| 3 | 719 | 27 |
| 4 | 3879 | 27 |
| 5 | 6980 | 27 |
| 6 | 7849 | 27 |
| 0 | 8041 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) |
#s(literal 0 binary64) |
(*.f64 (/.f64 z x) (neg.f64 x)) |
(/.f64 z x) |
z |
x |
(neg.f64 x) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/.f64 z y) |
y |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
(*.f64 (/.f64 y z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) |
z |
#s(literal 0 binary64) |
(*.f64 (/.f64 z x) (neg.f64 x)) |
(neg.f64 z) |
(/.f64 z x) |
z |
x |
(neg.f64 x) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/.f64 z y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 2.3552241310962354 | (*.f64 (/.f64 z x) (/.f64 z y)) | |
| accuracy | 12.255838263205133 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) | |
| accuracy | 12.789723171046633 | (*.f64 (/.f64 z x) (neg.f64 x)) |
| 48.0ms | 256× | 0 | valid |
Compiled 51 to 13 computations (74.5% saved)
ival-neg: 31.0ms (77% of total)ival-div: 5.0ms (12.4% of total)ival-mult: 3.0ms (7.5% of total)ival-sub: 1.0ms (2.5% 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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor inf z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor inf z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor inf z) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (neg.f64 x)) (patch (*.f64 (/.f64 z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) (/.f64 z y)) (patch (*.f64 (/.f64 z x) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((/ (- 0 (* (/ z x) (neg x))) (* (/ z x) (/ z y))) (* (/ z x) (neg x)) (- 0 (* (/ z x) (neg x))) (/ z x) (* (/ z x) (/ z y)) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (- 0 (* (/ z x) (neg x))) (* (/ z x) (/ z y))) (* (/ z x) (neg x)) (- 0 (* (/ z x) (neg x))) (/ z x) (* (/ z x) (/ z y)) (neg x)) |
| 1.0ms | z | @ | -inf | ((/ (- 0 (* (/ z x) (neg x))) (* (/ z x) (/ z y))) (* (/ z x) (neg x)) (- 0 (* (/ z x) (neg x))) (/ z x) (* (/ z x) (/ z y)) (neg x)) |
| 1.0ms | z | @ | 0 | ((/ (- 0 (* (/ z x) (neg x))) (* (/ z x) (/ z y))) (* (/ z x) (neg x)) (- 0 (* (/ z x) (neg x))) (/ z x) (* (/ z x) (/ z y)) (neg x)) |
| 1.0ms | y | @ | -inf | ((/ (- 0 (* (/ z x) (neg x))) (* (/ z x) (/ z y))) (* (/ z x) (neg x)) (- 0 (* (/ z x) (neg x))) (/ z x) (* (/ z x) (/ z y)) (neg x)) |
| 1× | egg-herbie |
| 56× | lower-+.f64 |
| 56× | lower-+.f32 |
| 38× | lower-*.f64 |
| 38× | lower-fma.f64 |
| 38× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 600 |
| 1 | 22 | 600 |
| 2 | 36 | 600 |
| 3 | 48 | 600 |
| 4 | 51 | 600 |
| 5 | 55 | 600 |
| 6 | 62 | 600 |
| 7 | 101 | 600 |
| 8 | 138 | 600 |
| 9 | 142 | 600 |
| 0 | 142 | 600 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 3 478× | lower-*.f32 |
| 3 474× | lower-*.f64 |
| 3 166× | lower-/.f32 |
| 3 160× | lower-/.f64 |
| 1 948× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 18 | 40 |
| 1 | 78 | 36 |
| 2 | 664 | 20 |
| 3 | 7907 | 20 |
| 0 | 8685 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
(*.f64 (/.f64 z x) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) |
(/.f64 z x) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(neg.f64 x) |
| Outputs |
|---|
#<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> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 15 431 to 1 867 computations (87.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 936 | 1 | 937 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 937 | 7 | 944 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.6% | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| ✓ | 93.9% | (/.f64 (*.f64 x y) z) |
| ▶ | 78.5% | (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
| ✓ | 92.3% | (/.f64 y (/.f64 z x)) |
| ✓ | 92.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 91.6% | (*.f64 (/.f64 y z) x) |
| ✓ | 92.8% | (*.f64 (/.f64 x z) y) |
Compiled 43 to 40 computations (7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (/.f64 (/.f64 z y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 z y) x) z) | |
| cost-diff | 1408 | (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
| 7 584× | lower-*.f32 |
| 7 582× | lower-*.f64 |
| 3 258× | associate-/r/ |
| 2 674× | cube-prod |
| 1 896× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 18 | 27 |
| 2 | 34 | 25 |
| 3 | 70 | 23 |
| 4 | 123 | 23 |
| 5 | 379 | 23 |
| 6 | 1182 | 23 |
| 7 | 1673 | 23 |
| 8 | 1723 | 23 |
| 9 | 1741 | 23 |
| 10 | 1750 | 23 |
| 11 | 1776 | 23 |
| 12 | 3570 | 23 |
| 13 | 3761 | 23 |
| 14 | 4112 | 23 |
| 15 | 4582 | 23 |
| 16 | 5278 | 23 |
| 17 | 5917 | 23 |
| 18 | 6126 | 23 |
| 19 | 6174 | 23 |
| 20 | 6193 | 23 |
| 21 | 6223 | 23 |
| 22 | 6627 | 23 |
| 0 | 8919 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
z |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/.f64 (/.f64 z y) x) |
(/.f64 z y) |
y |
x |
| Outputs |
|---|
(/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
(*.f64 (/.f64 x z) y) |
z |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/.f64 (/.f64 z y) x) |
(/.f64 z y) |
y |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.5956274988401882 | (*.f64 (/.f64 (/.f64 z y) x) z) | |
| accuracy | 5.1881278814462375 | (/.f64 (/.f64 z y) x) | |
| accuracy | 12.255838263205133 | (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
| 16.0ms | 256× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-div: 5.0ms (80.2% of total)ival-mult: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) (patch (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) (patch (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) (patch (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) (patch (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) (patch (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 z y) x) z) (patch (*.f64 (/.f64 (/.f64 z y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 z y) x) (patch (/.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ z (* (/ (/ z y) x) z)) (* (/ (/ z y) x) z) (/ (/ z y) x) (/ z y)) |
| 1.0ms | z | @ | -inf | ((/ z (* (/ (/ z y) x) z)) (* (/ (/ z y) x) z) (/ (/ z y) x) (/ z y)) |
| 1.0ms | x | @ | -inf | ((/ z (* (/ (/ z y) x) z)) (* (/ (/ z y) x) z) (/ (/ z y) x) (/ z y)) |
| 1.0ms | z | @ | inf | ((/ z (* (/ (/ z y) x) z)) (* (/ (/ z y) x) z) (/ (/ z y) x) (/ z y)) |
| 1.0ms | y | @ | 0 | ((/ z (* (/ (/ z y) x) z)) (* (/ (/ z y) x) z) (/ (/ z y) x) (/ z y)) |
| 1× | egg-herbie |
| 30× | lower-*.f64 |
| 30× | lower-*.f32 |
| 26× | lower-/.f32 |
| 26× | lower-/.f64 |
| 10× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 684 |
| 1 | 18 | 684 |
| 2 | 28 | 684 |
| 3 | 36 | 684 |
| 4 | 36 | 684 |
| 0 | 36 | 684 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 z x) (/.f64 z y)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
| 2 304× | lower-*.f32 |
| 2 302× | lower-*.f64 |
| 1 952× | lower--.f32 |
| 1 952× | lower--.f64 |
| 1 840× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 39 | 24 |
| 2 | 234 | 20 |
| 3 | 1664 | 20 |
| 4 | 6447 | 20 |
| 0 | 8130 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
(*.f64 (/.f64 (/.f64 z y) x) z) |
(/.f64 (/.f64 z y) x) |
(/.f64 z y) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 667 to 1 442 computations (81.2% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 0 | 581 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 581 | 7 | 588 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.6% | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
| ✓ | 93.9% | (/.f64 (*.f64 x y) z) |
| ✓ | 78.5% | (/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
| ✓ | 92.3% | (/.f64 y (/.f64 z x)) |
| ✓ | 92.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 91.6% | (*.f64 (/.f64 y z) x) |
| ✓ | 92.8% | (*.f64 (/.f64 x z) y) |
Compiled 123 to 74 computations (39.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
(/.f64 z (*.f64 (/.f64 (/.f64 z y) x) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (/.f64 z y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y))) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
5 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 98.0% | 2 | y |
| 99.7% | 2 | z |
| 99.7% | 2 | (/.f64 (*.f64 x y) z) |
| 99.7% | 3 | (*.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
5 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 x y) |
| 1.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | x |
| 92.8% | 1 | y |
| 92.8% | 1 | (*.f64 x y) |
| 92.8% | 1 | z |
| 92.8% | 1 | (/.f64 (*.f64 x y) z) |
Compiled 11 to 18 computations (-63.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6784845789019437000.0 | 9.550646728197761e+25 |
Compiled 8 to 11 computations (-37.5% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 15 | 23 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 10000000000000000000 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 10000000000000000000 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 (*.f64 y x) z) #s(literal 10000000000000000000 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| 1 066× | lower-*.f32 |
| 1 064× | lower-*.f64 |
| 848× | lower-/.f32 |
| 846× | lower-/.f64 |
| 234× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 71 | 8 |
| 3 | 361 | 8 |
| 0 | 2367 | 8 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 53 to 33 computations (37.7% saved)
Compiled 246 to 160 computations (35% saved)
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