
Time bar (total: 2.7s)
| 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)
| 471.0ms | 8 256× | 0 | valid |
ival-mult: 98.0ms (55.5% of total)ival-div: 70.0ms (39.7% of total)ival-true: 6.0ms (3.4% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 0 | - | 1 | (3.540056679747062e-73 1.2389827716826255e-244 -4.5996721734664986e-275) | (/.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 | 13 | 0 |
| ↳ | (*.f64 x y) | underflow | 37 | |
/.f64 | (/.f64 (*.f64 x y) z) | o/n | 12 | 0 |
| ↳ | (*.f64 x y) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 25 | 1 |
| - | 0 | 230 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 1 |
| - | 0 | 0 | 230 |
| number | freq |
|---|---|
| 0 | 231 |
| 1 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 34 to 19 computations (44.1% saved)
ival-mult: 4.0ms (51.9% of total)ival-div: 3.0ms (38.9% 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 8 to 5 computations (37.5% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.5% | (/.f64 (*.f64 x y) z) |
Compiled 8 to 5 computations (37.5% 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 | 6.05517304966885 | (/.f64 (*.f64 x y) z) |
| 10.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (54.8% of total)ival-mult: 2.0ms (54.8% 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 |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (*.f64 z z))) z) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (*.f64 (*.f64 z z) z))) (*.f64 z z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) y) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z (*.f64 y x)) (/.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 (*.f64 y x) y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y x) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 (/.f64 (neg.f64 x) z) y))) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) y))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 z (*.f64 y x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x)))) (*.f64 z (*.f64 (*.f64 (*.f64 y x) y) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x)))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 y x) y) x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) #s(literal -1 binary64)) (*.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 y x))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (*.f64 y x))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) (*.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 (neg.f64 z) (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 y x) y) x))) |
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (*.f64 y x))) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 y x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (*.f64 y x) z)) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 y x) y) x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y x) y) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y x) y) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))) (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 x y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(literal 0 binary64)) |
Compiled 1 846 to 294 computations (84.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 7 | 192 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 185 | 8 | 193 |
| Status | Accuracy | Program |
|---|---|---|
| 92.7% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 90.5% | (/.f64 (*.f64 x y) z) |
| ▶ | 91.0% | (/.f64 y (/.f64 z x)) |
| ▶ | 93.4% | (/.f64 x (/.f64 z y)) |
| ▶ | 92.8% | (*.f64 (/.f64 y z) x) |
| ▶ | 91.5% | (*.f64 (/.f64 x z) y) |
| ▶ | 90.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
| 92.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x)) |
Compiled 136 to 91 computations (33.1% saved)
| 1× | egg-herbie |
Found 11 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 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y 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) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 384 | (/.f64 x (/.f64 z y)) |
| 52× | lower-*.f32 |
| 44× | lower-*.f64 |
| 30× | associate-*r* |
| 26× | lower-/.f32 |
| 20× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 61 |
| 0 | 26 | 59 |
| 1 | 38 | 59 |
| 2 | 53 | 59 |
| 3 | 77 | 59 |
| 4 | 89 | 59 |
| 5 | 97 | 59 |
| 0 | 97 | 59 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y x) |
y |
x |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 x z) y) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(*.f64 (/.f64 x z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y x) |
y |
x |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 x z) y) |
y |
(/.f64 z x) |
z |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 5.759016806343201 | (/.f64 y (/.f64 z x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 6.10595429966885 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 4.607349859189493 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 5.431253364903393 | (*.f64 (/.f64 x z) y) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.252554062617349 | (/.f64 x (/.f64 z y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 63 to 17 computations (73% saved)
ival-div: 11.0ms (64.2% of total)ival-mult: 6.0ms (35% 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 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 (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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 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>) () ())) ()) |
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#s(alt (/ z y) (taylor 0 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 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>) () ())) ()) |
#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 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<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 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y 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 (/ (* 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 | |
|---|---|---|---|---|
| 24.0ms | z | @ | inf | ((/ x (/ z y)) (/ z y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x)) |
| 2.0ms | y | @ | 0 | ((/ x (/ z y)) (/ z y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x)) |
| 2.0ms | z | @ | -inf | ((/ x (/ z y)) (/ z y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x)) |
| 2.0ms | z | @ | 0 | ((/ x (/ z y)) (/ z y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x)) |
| 1.0ms | y | @ | -inf | ((/ x (/ z y)) (/ z y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x)) |
| 1× | egg-herbie |
| 12× | lower-*.f64 |
| 12× | lower-/.f32 |
| 12× | lower-/.f64 |
| 12× | lower-*.f32 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 1296 |
| 1 | 15 | 1296 |
| 2 | 17 | 1296 |
| 3 | 18 | 1296 |
| 0 | 18 | 1296 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* 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 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) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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 y) |
(/ z y) |
(/ z y) |
(/ z 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) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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 y) |
(/ z y) |
(/ z y) |
(/ z 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) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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) |
(/ (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* 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 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) |
(* x y) |
(* x y) |
(* x 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) |
(/ (* 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) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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) |
(/ 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 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) |
(/ 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) |
(/ 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 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 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) |
(/ 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) |
(/ 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 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 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) |
(/ 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) |
(/ 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 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) |
(/ 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) |
(* 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) 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) |
(/ 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) |
(* 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) 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) |
(/ 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) |
(* 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) 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 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) |
(*.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) |
(/ 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) 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) |
(*.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) |
(/ 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) 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) |
(*.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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 2 696× | lower-*.f32 |
| 2 688× | lower-*.f64 |
| 1 776× | lower--.f32 |
| 1 776× | lower--.f64 |
| 1 758× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 0 | 26 | 43 |
| 1 | 70 | 43 |
| 2 | 288 | 43 |
| 3 | 1403 | 43 |
| 4 | 5475 | 43 |
| 0 | 8577 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(/.f64 z y) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 y x) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (*.f64 (/.f64 z (*.f64 y x)) (/.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (neg.f64 x) z)) y) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) y)) (/.f64 (neg.f64 x) z)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (neg.f64 y) z)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 y) z)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (*.f64 (/.f64 (neg.f64 y) z) x))) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (*.f64 (/.f64 (neg.f64 y) z) x) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 z) x) (*.f64 y x))) (*.f64 (/.f64 (neg.f64 z) x) (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) x))) (*.f64 (/.f64 (neg.f64 z) x) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 x) z))) (/.f64 (neg.f64 z) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 y) z))) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (neg.f64 y))) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 z x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (neg.f64 x))) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 z y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 y z))) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 x z))) (/.f64 z (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) (*.f64 (/.f64 z x) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 z) x) x)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 z) y) (*.f64 y x))) (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (*.f64 (neg.f64 y) x))) (*.f64 (/.f64 (neg.f64 z) y) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 x) z))) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 y) z))) (/.f64 (neg.f64 z) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 y))) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 z x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 x))) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 z y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (/.f64 z (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x z))) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) y))) |
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(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 z (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) x)) z) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) z)) (/.f64 #s(literal -1 binary64) x)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (/.f64 z x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 z x) (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x))))) (*.f64 (neg.f64 x) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x))))) (*.f64 (neg.f64 x) (*.f64 (/.f64 z x) (/.f64 z x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (/.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (neg.f64 z) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 z))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 z x))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) z)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x))) (/.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 x) (*.f64 z z))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (/.f64 z x)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x z))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 z x) |
(/.f64 x (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 (neg.f64 z) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 z) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 x z))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 z x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 z x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x)) |
(+.f64 #s(literal 0 binary64) (/.f64 z x)) |
(+.f64 (/.f64 z x) #s(literal 0 binary64)) |
Compiled 12 065 to 1 197 computations (90.1% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 154 | 3 | 1 157 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 156 | 9 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.5% | (/.f64 (*.f64 x y) z) |
| ✓ | 91.0% | (/.f64 y (/.f64 z x)) |
| ▶ | 90.9% | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
| ✓ | 93.4% | (/.f64 x (/.f64 z y)) |
| ▶ | 93.2% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
| ✓ | 92.8% | (*.f64 (/.f64 y z) x) |
| ✓ | 91.5% | (*.f64 (/.f64 x z) y) |
| ✓ | 90.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
| ▶ | 91.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
Compiled 80 to 53 computations (33.8% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) z) | |
| cost-diff | 384 | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 384 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| 104× | lower-*.f32 |
| 102× | times-frac |
| 96× | lower-*.f64 |
| 86× | lower-/.f32 |
| 76× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 0 | 22 | 57 |
| 1 | 39 | 45 |
| 2 | 72 | 45 |
| 3 | 154 | 45 |
| 4 | 184 | 45 |
| 5 | 204 | 45 |
| 6 | 239 | 45 |
| 7 | 241 | 45 |
| 0 | 241 | 45 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
y |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) x) z) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
z |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
y |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 y z) x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(*.f64 (/.f64 y z) x) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) x) z) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
z |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal 1 binary64) x) z) | |
| accuracy | 5.759016806343201 | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 4.252554062617349 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.2265625 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 5.431253364903393 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
| 27.0ms | 256× | 0 | valid |
Compiled 59 to 15 computations (74.6% saved)
ival-div: 11.0ms (65.2% of total)ival-mult: 5.0ms (29.6% 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) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) (patch (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) #<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 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) (patch (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) (patch (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) (patch (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) (patch (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ z x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((* (/ 1 z) x) (* (* (/ 1 z) x) y) (/ 1 z) (/ x (* (/ 1 y) z)) (* (/ 1 y) z) (/ 1 y) (/ y (* (/ 1 x) z)) (* (/ 1 x) z) (/ 1 x)) |
| 1.0ms | z | @ | 0 | ((* (/ 1 z) x) (* (* (/ 1 z) x) y) (/ 1 z) (/ x (* (/ 1 y) z)) (* (/ 1 y) z) (/ 1 y) (/ y (* (/ 1 x) z)) (* (/ 1 x) z) (/ 1 x)) |
| 1.0ms | x | @ | -inf | ((* (/ 1 z) x) (* (* (/ 1 z) x) y) (/ 1 z) (/ x (* (/ 1 y) z)) (* (/ 1 y) z) (/ 1 y) (/ y (* (/ 1 x) z)) (* (/ 1 x) z) (/ 1 x)) |
| 1.0ms | z | @ | inf | ((* (/ 1 z) x) (* (* (/ 1 z) x) y) (/ 1 z) (/ x (* (/ 1 y) z)) (* (/ 1 y) z) (/ 1 y) (/ y (* (/ 1 x) z)) (* (/ 1 x) z) (/ 1 x)) |
| 1.0ms | y | @ | -inf | ((* (/ 1 z) x) (* (* (/ 1 z) x) y) (/ 1 z) (/ x (* (/ 1 y) z)) (* (/ 1 y) z) (/ 1 y) (/ y (* (/ 1 x) z)) (* (/ 1 x) z) (/ 1 x)) |
| 1× | egg-herbie |
| 16× | lower-/.f32 |
| 16× | lower-/.f64 |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 864 |
| 1 | 17 | 864 |
| 2 | 19 | 864 |
| 3 | 20 | 864 |
| 0 | 20 | 864 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ 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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ 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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 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 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 y (/.f64 x z)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
| 3 116× | lower-*.f32 |
| 3 108× | lower-*.f64 |
| 2 234× | lower-/.f32 |
| 2 224× | lower-/.f64 |
| 2 158× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 0 | 22 | 45 |
| 1 | 71 | 33 |
| 2 | 287 | 33 |
| 3 | 1476 | 33 |
| 4 | 5829 | 33 |
| 0 | 8392 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) z) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 z z) z))) (*.f64 z z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (/.f64 z x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 z x) (/.f64 z x))) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal 1 binary64)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) z)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) z)) (*.f64 x x)) |
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(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 0 binary64)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 z x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x)) |
(+.f64 #s(literal 0 binary64) (/.f64 z x)) |
(+.f64 (/.f64 z x) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 384 to 1 316 computations (87.3% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 0 | 948 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 6 | 6 |
| Total | 948 | 9 | 957 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.5% | (/.f64 (*.f64 x y) z) |
| ✓ | 91.0% | (/.f64 y (/.f64 z x)) |
| ✓ | 90.9% | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
| ✓ | 93.4% | (/.f64 x (/.f64 z y)) |
| ✓ | 93.2% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
| ✓ | 92.8% | (*.f64 (/.f64 y z) x) |
| ✓ | 91.5% | (*.f64 (/.f64 x z) y) |
| ✓ | 90.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
| ✓ | 91.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
Compiled 152 to 83 computations (45.4% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x)) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
5 calls:
| 5.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | x |
| 95.4% | 2 | y |
| 99.8% | 2 | z |
| 99.8% | 2 | (/.f64 (*.f64 x y) z) |
| 99.8% | 3 | (*.f64 x y) |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 x z) y) |
2 calls:
| 3.0ms | z |
| 2.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | z |
| 99.7% | 2 | (/.f64 (*.f64 x y) z) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
2 calls:
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | z |
| 99.7% | 2 | (/.f64 (*.f64 x y) z) |
Compiled 12 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 |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x y) |
| 1.0ms | (/.f64 (*.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | x |
| 91.5% | 1 | y |
| 91.5% | 1 | (*.f64 x y) |
| 91.5% | 1 | z |
| 91.5% | 1 | (/.f64 (*.f64 x y) z) |
Compiled 26 to 18 computations (30.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 276389049.3729369 | 50833632727.48046 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.087789563223656e+85 | 3.0720321591138516e+88 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.087789563223656e+85 | 3.0720321591138516e+88 |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 59 |
| 1 | 23 | 59 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 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 500000000 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 (*.f64 y x) z) #s(literal 500000000 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 (*.f64 y x) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 (*.f64 y x) z) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 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 153 to 69 computations (54.9% saved)
Compiled 360 to 176 computations (51.1% saved)
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