
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 446.0ms | 8 250× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
ival-add: 105.0ms (91.6% of total)ival-true: 6.0ms (5.2% of total)ival-assert: 3.0ms (2.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-add: 5.0ms (88% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 132× | associate--r+ |
| 126× | sub-neg |
| 120× | associate-+l- |
| 112× | distribute-rgt-in |
| 106× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 50 |
| 1 | 62 | 45 |
| 2 | 191 | 45 |
| 3 | 490 | 45 |
| 4 | 780 | 45 |
| 5 | 843 | 45 |
| 6 | 859 | 45 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 11 | 5 |
| 2 | 18 | 5 |
| 3 | 20 | 5 |
| 0 | 20 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 z (+.f64 y x)) |
(sort x y z)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 x y) z) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (+.f64 (+.f64 x y) z) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 10× | +-commutative |
| 6× | associate-+l+ |
| 6× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 18 | 11 |
| 3 | 20 | 11 |
| 0 | 20 | 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 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (+.f64 x y) z) | |
| accuracy | 0 | (+.f64 x y) |
| 14.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-add: 6.0ms (100.5% 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) (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 z (taylor inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x 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 (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 y (taylor inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (/ x y) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (/ x y) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (/ x y) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ 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 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 (taylor inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y x) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y x) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y x) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) z) (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | x | @ | -inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | z | @ | inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | y | @ | inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | x | @ | inf | ((+ (+ x y) z) (+ x y)) |
| 1× | egg-herbie |
| 4 768× | lower-/.f32 |
| 4 768× | lower-/.f64 |
| 2 864× | lower-fma.f64 |
| 2 864× | lower-fma.f32 |
| 2 160× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 1 | 148 | 210 |
| 2 | 381 | 210 |
| 3 | 1186 | 210 |
| 4 | 2945 | 210 |
| 5 | 4910 | 210 |
| 6 | 5892 | 210 |
| 7 | 6011 | 210 |
| 8 | 6105 | 210 |
| 9 | 6119 | 210 |
| 0 | 8863 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z x) y) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z x) y) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z x) y) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z x) y) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z x) y) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z x) y) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z x) y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z x) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z x) y) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z x) y) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z x) y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z x) y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 5 946× | lower-fma.f64 |
| 5 946× | lower-fma.f32 |
| 4 786× | lower-*.f64 |
| 4 786× | lower-*.f32 |
| 2 372× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 36 | 8 |
| 2 | 318 | 8 |
| 3 | 5039 | 8 |
| 0 | 8074 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 4 983 to 628 computations (87.4% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 3 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 4 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x y) z) |
| ▶ | 48.7% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ▶ | 98.5% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
| ▶ | 53.8% | #s(approx (+ (+ x y) z) (+.f64 y x)) |
Compiled 17 to 20 computations (-17.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (+.f64 z y)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (+.f64 z x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (+.f64 y x)) |
| 24× | lower-+.f32 |
| 18× | lower-+.f64 |
| 8× | +-commutative |
| 6× | lift-+.f64 |
| 4× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 14 | 42 |
| 1 | 20 | 42 |
| 2 | 23 | 42 |
| 0 | 23 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 32.80832526939771 | #s(approx (+ (+ x y) z) (+.f64 z y)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.9454983397777825 | #s(approx (+ (+ x y) z) (+.f64 z x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 29.551284745603663 | #s(approx (+ (+ x y) z) (+.f64 y x)) |
| 15.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-add: 7.0ms (99.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (/ x y) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt y (taylor inf y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y)) |
| 0.0ms | z | @ | inf | ((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y)) |
| 0.0ms | z | @ | -inf | ((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y)) |
| 0.0ms | y | @ | -inf | ((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y)) |
| 0.0ms | y | @ | inf | ((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y)) |
| 1× | egg-herbie |
| 20 800× | lower-fma.f64 |
| 20 800× | lower-fma.f32 |
| 5 768× | lower-/.f32 |
| 5 768× | lower-/.f64 |
| 2 872× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 630 |
| 1 | 227 | 630 |
| 2 | 564 | 630 |
| 3 | 1699 | 630 |
| 4 | 4043 | 630 |
| 5 | 4666 | 630 |
| 6 | 5033 | 630 |
| 7 | 5171 | 630 |
| 8 | 5195 | 630 |
| 9 | 5195 | 630 |
| 0 | 9415 | 630 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
z |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
z |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
| 5 702× | lower-fma.f64 |
| 5 702× | lower-fma.f32 |
| 4 358× | lower-*.f64 |
| 4 358× | lower-*.f32 |
| 3 718× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 0 | 14 | 36 |
| 1 | 69 | 36 |
| 2 | 631 | 36 |
| 0 | 8460 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
Compiled 4 596 to 724 computations (84.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 0 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 334 | 4 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x y) z) |
| ✓ | 48.7% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ✓ | 98.5% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
| ✓ | 53.8% | #s(approx (+ (+ x y) z) (+.f64 y x)) |
Compiled 34 to 31 computations (8.8% saved)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 (+.f64 x y) z) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
5 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
5 calls:
| 15.0ms | (+.f64 (+.f64 x y) z) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | (+.f64 (+.f64 x y) z) |
| 98.5% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
5 calls:
| 1.0ms | z |
| 1.0ms | (+.f64 (+.f64 x y) z) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | x |
| 53.8% | 1 | y |
| 53.8% | 1 | z |
| 53.8% | 1 | (+.f64 (+.f64 x y) z) |
| 53.8% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| 1× | egg-herbie |
| 6× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 14 | 23 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 y x)) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 z (+.f64 y x)) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 y x)) |
| 4 768× | lower-/.f32 |
| 4 768× | lower-/.f64 |
| 2 864× | lower-fma.f64 |
| 2 864× | lower-fma.f32 |
| 2 160× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 1 | 148 | 210 |
| 2 | 381 | 210 |
| 3 | 1186 | 210 |
| 4 | 2945 | 210 |
| 5 | 4910 | 210 |
| 6 | 5892 | 210 |
| 7 | 6011 | 210 |
| 8 | 6105 | 210 |
| 9 | 6119 | 210 |
| 0 | 8863 | 210 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 19 to 16 computations (15.8% saved)
(sort x y z)
Compiled 56 to 46 computations (17.9% saved)
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