
Time bar (total: 2.2s)
| 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)
| 257.0ms | 8 256× | 0 | valid |
ival-mult: 54.0ms (48.7% of total)ival-div: 48.0ms (43.3% of total)ival-true: 5.0ms (4.5% of total)ival-assert: 3.0ms (2.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 3 | (-5.159565863711747e-309 6.184919780217934e-198 -9.856245874755955e-247) | (/.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) | o/n | 11 | 0 |
| ↳ | (*.f64 x y) | overflow | 37 | |
/.f64 | (/.f64 (*.f64 x y) z) | u/n | 10 | 0 |
| ↳ | (*.f64 x y) | underflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 21 | 3 |
| - | 0 | 232 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 21 | 0 | 3 |
| - | 0 | 0 | 232 |
| number | freq |
|---|---|
| 0 | 235 |
| 1 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 512× | 0 | valid |
Compiled 64 to 34 computations (46.9% saved)
ival-mult: 4.0ms (54.9% of total)ival-div: 3.0ms (41.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 91.7% | (/.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) |
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 | 5.327016341881958 | (/.f64 (*.f64 x y) z) |
| 9.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-mult: 2.0ms (60.7% of total)ival-div: 1.0ms (30.3% 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 |
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) |
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> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 1 723 to 296 computations (82.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 5 | 192 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 6 | 193 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.3% | (/.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))) |
| ✓ | 91.7% | (/.f64 (*.f64 x y) z) |
| ▶ | 92.1% | (/.f64 y (/.f64 z x)) |
| ▶ | 91.1% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
| ▶ | 92.5% | (*.f64 (/.f64 y z) x) |
| ▶ | 93.6% | (*.f64 (/.f64 x z) y) |
Compiled 91 to 71 computations (22% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 256 | (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) | |
| cost-diff | 320 | (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) | |
| cost-diff | 1408 | (/.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))) | |
| cost-diff | 1856 | (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) | |
| cost-diff | -384 | (/.f64 z (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 384 | (/.f64 y (/.f64 z x)) | |
| 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 117 |
| 0 | 37 | 82 |
| 1 | 71 | 82 |
| 2 | 183 | 80 |
| 3 | 780 | 80 |
| 4 | 3197 | 80 |
| 5 | 4684 | 80 |
| 6 | 5621 | 80 |
| 7 | 5878 | 80 |
| 8 | 5934 | 80 |
| 9 | 5950 | 80 |
| 10 | 6204 | 80 |
| 11 | 6663 | 80 |
| 12 | 6835 | 80 |
| 13 | 6929 | 80 |
| 14 | 6947 | 80 |
| 15 | 6947 | 80 |
| 16 | 7095 | 80 |
| 17 | 7563 | 80 |
| 18 | 7563 | 80 |
| 0 | 9062 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(/.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))) |
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) |
(*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) |
#s(literal 0 binary64) |
(/.f64 (/.f64 (neg.f64 z) x) y) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
(*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 y x) z) |
(/.f64 y z) |
y |
z |
x |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
(/.f64 (*.f64 y x) z) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 y x)) |
(/.f64 (/.f64 z x) y) |
z |
(*.f64 y x) |
y |
x |
(/.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))) |
(/.f64 (*.f64 y x) z) |
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) |
z |
(*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(/.f64 (/.f64 (neg.f64 z) x) y) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
(*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.441245639466331 | (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) | |
| accuracy | 4.866816746889991 | (/.f64 (/.f64 (neg.f64 z) x) y) | |
| accuracy | 10.335879706774193 | (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) | |
| accuracy | 12.133285885015596 | (/.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))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.4964262450171991 | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) | |
| accuracy | 5.27638224975799 | (/.f64 z (*.f64 y x)) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 5.025833673941082 | (/.f64 y (/.f64 z x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 4.828201032025331 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 4.06908119914599 | (*.f64 (/.f64 x z) y) |
| 33.0ms | 256× | 0 | valid |
Compiled 236 to 44 computations (81.4% saved)
ival-div: 12.0ms (58.4% of total)ival-mult: 6.0ms (29.2% of total)ival-sub: 1.0ms (4.9% of total)ival-neg: 1.0ms (4.9% 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 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 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 y x)) (patch (/.f64 z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (neg.f64 z) x) y) (patch (/.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 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 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 z (*.f64 y x)) (patch (/.f64 z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 z (*.f64 y x)) (patch (/.f64 z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 z (*.f64 y x)) (patch (/.f64 z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 z (*.f64 y x)) (patch (/.f64 z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt 0 (taylor -inf x) (#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) y)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) (patch (*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 z) x) y) (patch (/.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 z) x) y) (patch (/.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 z) x) y) (patch (/.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 z) x) y) (patch (/.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)) (* 0 (/ (/ (neg z) x) y)) (/ (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y))) (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y)) (/ (/ (neg z) x) y)) |
| 2.0ms | z | @ | inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)) (* 0 (/ (/ (neg z) x) y)) (/ (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y))) (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y)) (/ (/ (neg z) x) y)) |
| 2.0ms | x | @ | -inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)) (* 0 (/ (/ (neg z) x) y)) (/ (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y))) (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y)) (/ (/ (neg z) x) y)) |
| 2.0ms | z | @ | 0 | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)) (* 0 (/ (/ (neg z) x) y)) (/ (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y))) (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y)) (/ (/ (neg z) x) y)) |
| 2.0ms | y | @ | -inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)) (* 0 (/ (/ (neg z) x) y)) (/ (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y))) (- (* 0 (/ (/ (neg z) x) y)) (neg z)) (* (neg z) (/ (/ (neg z) x) y)) (/ (/ (neg z) x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 1908 |
| 1 | 25 | 1908 |
| 2 | 57 | 1908 |
| 3 | 94 | 1908 |
| 4 | 122 | 1908 |
| 5 | 151 | 1908 |
| 6 | 171 | 1908 |
| 7 | 207 | 1908 |
| 8 | 271 | 1908 |
| 9 | 312 | 1908 |
| 10 | 315 | 1908 |
| 11 | 316 | 1908 |
| 0 | 316 | 1908 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* 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 x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
(/ z (* x y)) |
0 |
0 |
0 |
0 |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
z |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(/ (pow z 2) (* x y)) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ z (* x y))) |
(* -1 (/ 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) |
(/ 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 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) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ (* 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 |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
(/ (pow z 2) (* x y)) |
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(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) 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) |
(/ 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ (* 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 |
z |
z |
z |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
(/ (pow z 2) (* x y)) |
(*.f64 (/.f64 (/.f64 z x) y) z) |
(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ z (* x y))) |
(/.f64 (/.f64 (neg.f64 z) y) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 94 |
| 0 | 37 | 62 |
| 1 | 132 | 57 |
| 2 | 797 | 57 |
| 3 | 6621 | 57 |
| 0 | 8790 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
(*.f64 y x) |
(/.f64 z (*.f64 y x)) |
(*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) x) 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))) |
(-.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)) |
(/.f64 (/.f64 (neg.f64 z) x) y) |
| Outputs |
|---|
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Compiled 70 018 to 4 676 computations (93.3% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 246 | 1 | 4 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 247 | 6 | 4 253 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.5% | (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 91.7% | (/.f64 (*.f64 x y) z) |
| ✓ | 92.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 91.1% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
| ✓ | 92.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 93.6% | (*.f64 (/.f64 x z) y) |
Compiled 35 to 35 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) z) | |
| cost-diff | 1216 | (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 12 | 21 |
| 1 | 21 | 21 |
| 2 | 49 | 20 |
| 3 | 145 | 18 |
| 4 | 324 | 18 |
| 5 | 880 | 18 |
| 6 | 1750 | 18 |
| 7 | 1821 | 18 |
| 8 | 1846 | 18 |
| 9 | 1850 | 18 |
| 10 | 1850 | 18 |
| 0 | 1850 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
| Outputs |
|---|
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (neg.f64 x) z) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.133908108940186 | (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 44 to 18 computations (59.1% saved)
ival-div: 5.0ms (68.5% of total)ival-neg: 1.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<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>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (/ (neg x) z) (/ -1 y)) (/ (neg x) z) (neg x) (/ -1 y)) |
| 1.0ms | x | @ | 0 | ((/ (/ (neg x) z) (/ -1 y)) (/ (neg x) z) (neg x) (/ -1 y)) |
| 1.0ms | x | @ | inf | ((/ (/ (neg x) z) (/ -1 y)) (/ (neg x) z) (neg x) (/ -1 y)) |
| 1.0ms | z | @ | 0 | ((/ (/ (neg x) z) (/ -1 y)) (/ (neg x) z) (neg x) (/ -1 y)) |
| 1.0ms | z | @ | inf | ((/ (/ (neg x) z) (/ -1 y)) (/ (neg x) z) (neg x) (/ -1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 336 |
| 1 | 18 | 336 |
| 2 | 27 | 336 |
| 3 | 35 | 336 |
| 4 | 43 | 336 |
| 5 | 49 | 336 |
| 6 | 60 | 336 |
| 7 | 88 | 336 |
| 8 | 97 | 336 |
| 9 | 98 | 336 |
| 0 | 98 | 336 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -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 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.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) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.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) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.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) |
(/ -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) |
(/ -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) |
(/ -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) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 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 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 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 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 0 | 12 | 17 |
| 1 | 43 | 14 |
| 2 | 256 | 14 |
| 3 | 1847 | 14 |
| 4 | 6389 | 12 |
| 0 | 8418 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
| Outputs |
|---|
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Compiled 5 941 to 902 computations (84.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 0 | 494 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 494 | 6 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.5% | (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 91.7% | (/.f64 (*.f64 x y) z) |
| ✓ | 92.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 91.1% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
| ✓ | 92.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 93.6% | (*.f64 (/.f64 x z) y) |
Compiled 91 to 63 computations (30.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) 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 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 98.0% | 3 | y |
| 99.8% | 2 | z |
| 99.8% | 2 | (/.f64 (*.f64 x y) z) |
| 99.8% | 3 | (*.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
2 calls:
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (*.f64 x y) z) |
| 99.8% | 2 | z |
Compiled 6 to 8 computations (-33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
5 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| 1.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 1 | x |
| 93.6% | 1 | y |
| 93.6% | 1 | (*.f64 x y) |
| 93.6% | 1 | (/.f64 (*.f64 x y) z) |
| 93.6% | 1 | z |
Compiled 11 to 18 computations (-63.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 6110641787525741000.0 | 1.3477584057424819e+23 |
| 2.0ms | 48× | 0 | valid |
Compiled 38 to 47 computations (-23.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.091616799265997e+27 | 8.393000872262319e+28 |
| 4.0ms | 112× | 0 | valid |
Compiled 78 to 95 computations (-21.8% saved)
ival-div: 1.0ms (59.2% of total)ival-mult: 1.0ms (59.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 33 |
| 1 | 17 | 33 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 10000000000000000000 binary64)) (/.f64 y (/.f64 z x)) (*.f64 (/.f64 y z) x)) |
(if (<=.f64 z #s(literal 3099999999999999958728048640 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 10000000000000000000 binary64)) (/.f64 y (/.f64 z x)) (*.f64 (/.f64 y z) x)) |
(if (<=.f64 z #s(literal 3099999999999999958728048640 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 x z) y) |
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 83 to 50 computations (39.8% saved)
Compiled 234 to 150 computations (35.9% saved)
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