Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B
Time bar (total: 3.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 771.0ms | 8 256× | 0 | valid |
ival-mult: 79.0ms (55.2% of total)ival-add: 52.0ms (36.3% of total)ival-true: 5.0ms (3.5% of total)exact: 4.0ms (2.8% of total)ival-assert: 3.0ms (2.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 19.0ms | 512× | 0 | valid |
Compiled 33 to 19 computations (42.4% saved)
ival-add: 3.0ms (40.4% of total)ival-mult: 3.0ms (40.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 102× | unsub-neg |
| 74× | distribute-lft-in |
| 68× | distribute-rgt-in |
| 68× | associate-*r* |
| 68× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 57 | 27 |
| 2 | 162 | 25 |
| 3 | 388 | 25 |
| 4 | 514 | 25 |
| 5 | 615 | 25 |
| 6 | 620 | 25 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 17 | 5 |
| 2 | 21 | 5 |
| 3 | 34 | 5 |
| 4 | 34 | 5 |
| 0 | 34 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
(negabs x)
Compiled 7 to 5 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 28× | lower-*.f32 |
| 26× | lower-*.f64 |
| 16× | lower-fma.f64 |
| 16× | lower-fma.f32 |
| 8× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 17 | 11 |
| 2 | 21 | 11 |
| 3 | 34 | 11 |
| 4 | 34 | 11 |
| 0 | 34 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
x |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 9.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-mult: 2.0ms (57.9% of total)ival-add: 1.0ms (29% 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 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y #s(literal 1 binary64))) (patch (*.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x (+ y 1)) |
| 0.0ms | x | @ | inf | (* x (+ y 1)) |
| 0.0ms | x | @ | -inf | (* x (+ y 1)) |
| 0.0ms | y | @ | -inf | (+ y 1) |
| 0.0ms | y | @ | inf | (* x (+ y 1)) |
| 1× | egg-herbie |
| 3 472× | lower-fma.f64 |
| 3 472× | lower-fma.f32 |
| 2 232× | lower-/.f32 |
| 2 232× | lower-/.f64 |
| 2 112× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 142 |
| 1 | 63 | 142 |
| 2 | 136 | 142 |
| 3 | 335 | 142 |
| 4 | 1238 | 142 |
| 5 | 2605 | 142 |
| 6 | 3231 | 142 |
| 7 | 3520 | 142 |
| 8 | 3696 | 142 |
| 9 | 3730 | 142 |
| 10 | 4330 | 142 |
| 11 | 5623 | 142 |
| 12 | 6379 | 142 |
| 13 | 6627 | 142 |
| 14 | 6683 | 142 |
| 15 | 6683 | 142 |
| 16 | 7171 | 142 |
| 17 | 7267 | 142 |
| 18 | 7419 | 142 |
| 19 | 7479 | 142 |
| 0 | 8075 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 7 892× | lower-fma.f64 |
| 7 892× | lower-fma.f32 |
| 4 072× | lower-/.f64 |
| 4 072× | lower-/.f32 |
| 3 458× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 30 | 8 |
| 2 | 173 | 8 |
| 3 | 1266 | 8 |
| 0 | 8426 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 x (*.f64 x y)) |
(+.f64 (*.f64 x y) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))) |
(+.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y y)) x) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) y)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (-.f64 (*.f64 y y) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
Compiled 7 932 to 801 computations (89.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 3 | 312 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 310 | 3 | 313 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y x x) |
| ▶ | 54.2% | (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
| ▶ | 49.0% | #s(approx (* x (+ y 1)) (*.f64 x y)) |
Compiled 18 to 10 computations (44.4% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (+ y 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (+ y 1)) (*.f64 x y)) |
| 40× | lower-*.f32 |
| 36× | lower-*.f64 |
| 16× | lower-fma.f32 |
| 14× | lower-fma.f64 |
| 12× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 14 | 33 |
| 1 | 26 | 33 |
| 2 | 26 | 33 |
| 3 | 45 | 33 |
| 4 | 45 | 33 |
| 0 | 45 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
x |
#s(approx (+ y 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y x x) |
y |
x |
| Outputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
x |
#s(approx (+ y 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y x x) |
(fma.f64 x y x) |
y |
x |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.00390625 | (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) | |
| accuracy | 29.526329372450068 | #s(approx (+ y 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 32.63742537110182 | #s(approx (* x (+ y 1)) (*.f64 x y)) |
| 45.0ms | 256× | 0 | valid |
Compiled 29 to 10 computations (65.5% saved)
ival-add: 32.0ms (85.9% of total)ival-mult: 4.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ y 1)) (*.f64 x y)) (patch #s(approx (* x (+ y 1)) (*.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) (taylor 0 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) (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) (taylor -inf x) (#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) (taylor 0 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) (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) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x y) |
| 0.0ms | x | @ | 0 | (* x y) |
| 0.0ms | y | @ | inf | (* x y) |
| 0.0ms | y | @ | 0 | (* x y) |
| 0.0ms | y | @ | -inf | (* x y) |
| 1× | egg-herbie |
| 2 840× | lower-fma.f64 |
| 2 840× | lower-fma.f32 |
| 1 792× | lower-/.f32 |
| 1 792× | lower-/.f64 |
| 1 676× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 438 |
| 1 | 74 | 438 |
| 2 | 162 | 438 |
| 3 | 389 | 438 |
| 4 | 1389 | 438 |
| 5 | 2570 | 438 |
| 6 | 3105 | 438 |
| 7 | 3434 | 438 |
| 8 | 3592 | 438 |
| 9 | 3598 | 438 |
| 10 | 4452 | 438 |
| 11 | 5756 | 438 |
| 12 | 6890 | 438 |
| 13 | 7580 | 438 |
| 14 | 7618 | 438 |
| 15 | 7630 | 438 |
| 0 | 8349 | 375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
| 8 298× | lower-fma.f32 |
| 8 296× | lower-fma.f64 |
| 4 642× | lower-/.f64 |
| 4 642× | lower-/.f32 |
| 4 138× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 14 | 27 |
| 1 | 51 | 27 |
| 2 | 293 | 27 |
| 3 | 2643 | 27 |
| 0 | 9221 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
#s(approx (+ y 1) #s(literal 1 binary64)) |
(fma.f64 y x x) |
| Outputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (+ y 1) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (+ y 1) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (+ y 1) #s(literal 1 binary64)) |
(+.f64 x (*.f64 x y)) |
(+.f64 (*.f64 x y) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (-.f64 (*.f64 x y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))) |
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(*.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (*.f64 x x))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 x y x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 x (fma.f64 x y x)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) x) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 y y) x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) x)) (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 y y) x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) |
Compiled 6 459 to 496 computations (92.3% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 280 | 0 | 280 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 280 | 3 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y x x) |
| ✓ | 54.2% | (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
| ✓ | 49.0% | #s(approx (* x (+ y 1)) (*.f64 x y)) |
Compiled 37 to 18 computations (51.4% saved)
| Inputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
(fma.f64 y x x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 y x x) |
4 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| 2.0ms | (+.f64 y #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 100.0% | 1 | (+.f64 y #s(literal 1 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) |
#s(approx (* x (+ y 1)) (*.f64 x y)) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| 1.0ms | (+.f64 y #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 6 | x |
| 98.7% | 3 | y |
| 82.1% | 3 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 98.7% | 3 | (+.f64 y #s(literal 1 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (* x (+ y 1)) (*.f64 x y)) |
4 calls:
| 1.0ms | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 y #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
| 49.0% | 1 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 49.0% | 1 | y |
| 49.0% | 1 | (+.f64 y #s(literal 1 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0002788995697407 | 1476.3281978739756 |
| 2.0ms | -28304112265.056538 | 0.9865791705832221 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 50 |
| 1 | 23 | 50 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x x) |
(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -20000000000 binary64)) #s(approx (* x (+ y 1)) (*.f64 x y)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 x y)))) |
#s(approx (* x (+ y 1)) (*.f64 x y)) |
| Outputs |
|---|
(fma.f64 y x x) |
(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -20000000000 binary64)) #s(approx (* x (+ y 1)) (*.f64 x y)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 x y)))) |
(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -20000000000 binary64)) #s(approx (* x (+ y 1)) (*.f64 y x)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 y x)))) |
#s(approx (* x (+ y 1)) (*.f64 x y)) |
#s(approx (* x (+ y 1)) (*.f64 y x)) |
| 7 892× | lower-fma.f64 |
| 7 892× | lower-fma.f32 |
| 4 072× | lower-/.f64 |
| 4 072× | lower-/.f32 |
| 3 472× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 30 | 8 |
| 2 | 173 | 8 |
| 3 | 1266 | 8 |
| 0 | 8426 | 7 |
| 0 | 19 | 142 |
| 1 | 63 | 142 |
| 2 | 136 | 142 |
| 3 | 335 | 142 |
| 4 | 1238 | 142 |
| 5 | 2605 | 142 |
| 6 | 3231 | 142 |
| 7 | 3520 | 142 |
| 8 | 3696 | 142 |
| 9 | 3730 | 142 |
| 10 | 4330 | 142 |
| 11 | 5623 | 142 |
| 12 | 6379 | 142 |
| 13 | 6627 | 142 |
| 14 | 6683 | 142 |
| 15 | 6683 | 142 |
| 16 | 7171 | 142 |
| 17 | 7267 | 142 |
| 18 | 7419 | 142 |
| 19 | 7479 | 142 |
| 0 | 8075 | 121 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 60 to 29 computations (51.7% saved)
(negabs x)
Compiled 120 to 56 computations (53.3% saved)
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