Rump's expression from Stadtherr's award speech
Time bar (total: 3.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 100% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 413.0ms | 8 256× | 0 | valid |
const: 132.0ms (61.2% of total)ival-==: 62.0ms (28.8% of total)ival-and: 10.0ms (4.6% of total)exact: 9.0ms (4.2% of total)ival-assert: 3.0ms (1.4% of total)| 1× | egg-herbie |
| 18 418× | lower-fma.f64 |
| 18 418× | lower-fma.f32 |
| 3 166× | lower-*.f32 |
| 3 156× | lower-+.f32 |
| 3 150× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 5 |
| 0 | 30 | 43 |
| 0 | 50 | 43 |
| 1 | 90 | 43 |
| 2 | 195 | 43 |
| 3 | 469 | 43 |
| 4 | 1445 | 43 |
| 5 | 3010 | 43 |
| 6 | 4924 | 43 |
| 7 | 6931 | 43 |
| 0 | 8196 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (fma.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)) (fma.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 11 binary64)))))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (neg.f64 (*.f64 x x))) (*.f64 x (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)))))))) |
(abs y)
(abs x)
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) y) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 11/2 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 121 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 11 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1335/4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 11 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 #s(literal 2 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 11 binary64) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 256 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 256 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 94.0ms | 512× | 0 | valid |
Compiled 610 to 124 computations (79.7% saved)
ival-mult: 28.0ms (44.4% of total)ival-pow: 16.0ms (25.4% of total)ival-add: 7.0ms (11.1% of total)ival-sub: 6.0ms (9.5% of total)ival-div: 4.0ms (6.3% of total)exact: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.4% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 45 to 30 computations (33.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) y) |
| 72.0ms | 256× | 0 | valid |
Compiled 260 to 32 computations (87.7% saved)
ival-pow: 28.0ms (47.9% of total)ival-mult: 22.0ms (37.6% of total)ival-sub: 3.0ms (5.1% of total)ival-add: 3.0ms (5.1% of total)ival-div: 2.0ms (3.4% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) y)> |
#<alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))> |
#<alt (*.f64 #s(literal 11 binary64) x)> |
#<alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))> |
| Outputs |
|---|
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
#<alt (* 121 (pow y 4))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* 11/2 (pow y 8)) |
| 0.0ms | x | @ | 0 | (* 11 x) |
| 0.0ms | y | @ | -inf | (* 2 y) |
| 0.0ms | y | @ | 0 | (* 121 (pow y 4)) |
| 0.0ms | y | @ | inf | (* 2 y) |
| 1× | batch-egg-rewrite |
| 490× | lower-*.f32 |
| 482× | lower-*.f64 |
| 168× | lower-fma.f64 |
| 168× | lower-fma.f32 |
| 150× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 16 |
| 0 | 20 | 16 |
| 1 | 34 | 16 |
| 2 | 69 | 16 |
| 3 | 185 | 16 |
| 0 | 732 | 16 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 11/2 binary64))) |
(*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))))) |
(*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(*.f64 y (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) |
(*.f64 #s(literal 11/2 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 11/2 binary64)) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 11/2 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 11/2 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y #s(literal 11/2 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) y) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 y y)) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) y) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 11/2 binary64) (*.f64 y y)))) (*.f64 y (*.f64 y y))) y) |
(*.f64 (*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) y) |
(*.f64 (*.f64 (*.f64 #s(literal 11/2 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) y) y) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 x #s(literal 11 binary64)) |
(*.f64 y (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64)))) |
(*.f64 #s(literal 121 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 121 binary64)) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 121 binary64)))) |
(*.f64 (*.f64 y (*.f64 y #s(literal 121 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 121 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y) |
(*.f64 (*.f64 y #s(literal 121 binary64)) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) (sqrt.f64 y)) (sqrt.f64 y)) |
| 1× | egg-herbie |
| 16× | lower-*.f64 |
| 16× | lower-*.f32 |
| 8× | *-commutative |
| 4× | lower-pow.f64 |
| 4× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 192 |
| 1 | 18 | 192 |
| 0 | 18 | 192 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
| Outputs |
|---|
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* 121 (pow y 4)) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
Compiled 4 130 to 226 computations (94.5% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 1 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 1 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.4% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 49 to 31 computations (36.7% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) y) |
| 50.0ms | 256× | 0 | valid |
Compiled 297 to 33 computations (88.9% saved)
ival-mult: 19.0ms (52.4% of total)ival-pow: 8.0ms (22.1% of total)ival-sub: 3.0ms (8.3% of total)ival-div: 3.0ms (8.3% of total)ival-add: 3.0ms (8.3% of total)exact: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) y)> |
#<alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))> |
#<alt (*.f64 #s(literal 11 binary64) x)> |
#<alt (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))> |
| Outputs |
|---|
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11/2 (pow y 8))> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* 1335/4 (pow y 6)) |
| 0.0ms | y | @ | inf | (* 1335/4 (pow y 6)) |
| 0.0ms | y | @ | -inf | (* 1335/4 (pow y 6)) |
| 0.0ms | y | @ | 0 | (* 2 y) |
| 0.0ms | y | @ | inf | (* 2 y) |
| 1× | batch-egg-rewrite |
| 822× | associate-*r* |
| 600× | associate-*l* |
| 388× | prod-exp |
| 230× | lower-*.f32 |
| 222× | lower-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 16 |
| 0 | 20 | 16 |
| 1 | 37 | 16 |
| 2 | 72 | 16 |
| 3 | 189 | 16 |
| 4 | 580 | 12 |
| 0 | 3019 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 y (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) y) |
(*.f64 #s(literal 11/2 binary64) y) |
(*.f64 y #s(literal 11/2 binary64)) |
(*.f64 y (*.f64 #s(literal 11/2 binary64) y)) |
(*.f64 (exp.f64 (*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) #s(literal 11/2 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 11/2 binary64) y))) |
(*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) #s(literal 11/2 binary64))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) y) y) |
(*.f64 (*.f64 #s(literal 11/2 binary64) (exp.f64 (*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 11/2 binary64) y) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 11/2 binary64) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 x #s(literal 11 binary64)) |
(*.f64 #s(literal 1335/4 binary64) y) |
(*.f64 y #s(literal 1335/4 binary64)) |
(*.f64 y (*.f64 #s(literal 1335/4 binary64) y)) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) y) y) |
(*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))) #s(literal 1335/4 binary64))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| 1× | egg-herbie |
| 16× | lower-*.f64 |
| 16× | lower-*.f32 |
| 8× | *-commutative |
| 4× | lower-pow.f64 |
| 4× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 192 |
| 1 | 18 | 192 |
| 0 | 18 | 192 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
| Outputs |
|---|
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
Compiled 3 404 to 121 computations (96.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 1 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 1 | 71 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 47 to 29 computations (38.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) y) |
| 46.0ms | 256× | 0 | valid |
Compiled 287 to 31 computations (89.2% saved)
ival-mult: 19.0ms (62.2% of total)ival-sub: 3.0ms (9.8% of total)ival-add: 3.0ms (9.8% of total)ival-pow: 3.0ms (9.8% of total)ival-div: 2.0ms (6.5% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) y)> |
#<alt (*.f64 #s(literal 11 binary64) x)> |
#<alt (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (* 1335/4 (pow y 6))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (* x x) |
| 0.0ms | x | @ | -inf | (* x x) |
| 0.0ms | y | @ | 0 | (* 2 y) |
| 0.0ms | y | @ | inf | (* 2 y) |
| 1× | batch-egg-rewrite |
| 1 214× | lower-*.f32 |
| 1 206× | lower-*.f64 |
| 532× | associate-*r* |
| 494× | lower-fma.f64 |
| 494× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 14 |
| 0 | 16 | 14 |
| 1 | 27 | 14 |
| 2 | 54 | 14 |
| 3 | 150 | 14 |
| 4 | 454 | 14 |
| 0 | 1893 | 14 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 x #s(literal 11 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 11 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 11 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 11 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 11 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 y (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))) |
(*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1335/4 binary64))))) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1335/4 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (sqrt.f64 (*.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1335/4 binary64)))) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 1335/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 21/4 binary64)))) |
(*.f64 (*.f64 y #s(literal 1335/4 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (sqrt.f64 (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1335/4 binary64))))) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) y) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (sqrt.f64 (*.f64 y (*.f64 y y))))) (sqrt.f64 (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 y #s(literal 1335/4 binary64))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (sqrt.f64 (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1335/4 binary64) (sqrt.f64 (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 y (*.f64 y #s(literal 1335/4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y (sqrt.f64 (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (*.f64 y (*.f64 y y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) #s(literal 1335/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 21/4 binary64))))) |
(*.f64 (pow.f64 y #s(literal 9/4 binary64)) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 15/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 9/4 binary64))) (pow.f64 y #s(literal 15/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 21/4 binary64)) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) (sqrt.f64 (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 #s(literal 1335/4 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 y (*.f64 #s(literal 1335/4 binary64) (sqrt.f64 (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (sqrt.f64 (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (*.f64 y (*.f64 y y))))) (*.f64 y (sqrt.f64 (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 15/4 binary64))) (pow.f64 y #s(literal 9/4 binary64))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 21/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 21/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 15/4 binary64)) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 9/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1335/4 binary64) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 21/4 binary64))) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| 1× | egg-herbie |
| 14× | lower-*.f64 |
| 14× | lower-*.f32 |
| 6× | *-commutative |
| 4× | lower-pow.f64 |
| 4× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 168 |
| 1 | 15 | 168 |
| 0 | 15 | 168 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(* 1335/4 (pow y 6)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* 1335/4 (pow y 6)) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 5 075 to 350 computations (93.1% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 1 | 104 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 1 | 105 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 55 to 31 computations (43.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 11/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 11 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) y) |
| 50.0ms | 256× | 0 | valid |
Compiled 335 to 33 computations (90.1% saved)
ival-mult: 23.0ms (67.2% of total)ival-sub: 3.0ms (8.8% of total)ival-add: 3.0ms (8.8% of total)ival-div: 2.0ms (5.8% of total)ival-pow: 2.0ms (5.8% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) y)> |
#<alt (*.f64 #s(literal 11 binary64) x)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 y #s(literal 11/2 binary64))> |
| Outputs |
|---|
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (* 11 x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
#<alt (* 11/2 y)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* y 11/2) |
| 0.0ms | y | @ | 0 | (* y 11/2) |
| 0.0ms | y | @ | inf | (* y 11/2) |
| 0.0ms | y | @ | 0 | (* 2 y) |
| 0.0ms | y | @ | inf | (* 2 y) |
| 1× | batch-egg-rewrite |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 596× | lower-*.f32 |
| 1 592× | lower-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 0 | 13 | 12 |
| 1 | 17 | 12 |
| 2 | 24 | 12 |
| 3 | 40 | 12 |
| 4 | 92 | 12 |
| 5 | 258 | 8 |
| 6 | 1554 | 8 |
| 7 | 1579 | 8 |
| 8 | 1702 | 8 |
| 9 | 2907 | 8 |
| 0 | 8277 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 x x) |
(*.f64 y #s(literal 11/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 11 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 y #s(literal 11/2 binary64)) |
(*.f64 #s(literal 11/2 binary64) y) |
| 1× | egg-herbie |
| 14× | lower-*.f64 |
| 14× | lower-*.f32 |
| 6× | *-commutative |
| 2× | lower-pow.f64 |
| 2× | unpow2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 0 | 13 | 144 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
(* 11/2 y) |
| Outputs |
|---|
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
(* 11/2 y) |
(*.f64 y #s(literal 11/2 binary64)) |
Compiled 2 911 to 55 computations (98.1% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 1 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 1 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 294 to 83 computations (71.8% saved)
Total -4.3b remaining (-7.3%)
Threshold costs -4.3b (-7.3%)
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.1% | 1 | x |
| 8.1% | 1 | y |
| 8.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 51 to 34 computations (33.3% saved)
| 1× | egg-herbie |
| 40× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 51 |
| 1 | 54 | 51 |
| 2 | 78 | 51 |
| 3 | 99 | 51 |
| 4 | 111 | 51 |
| 5 | 116 | 51 |
| 6 | 117 | 51 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))) y)) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1335/4 binary64)) (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 11 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y #s(literal 121 binary64))))) #s(literal 2 binary64)))) (*.f64 y #s(literal 11/2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 596× | lower-*.f32 |
| 1 592× | lower-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 16 |
| 0 | 20 | 16 |
| 1 | 37 | 16 |
| 2 | 72 | 16 |
| 3 | 189 | 16 |
| 4 | 580 | 12 |
| 0 | 3019 | 12 |
| 0 | 9 | 12 |
| 0 | 13 | 12 |
| 1 | 17 | 12 |
| 2 | 24 | 12 |
| 3 | 40 | 12 |
| 4 | 92 | 12 |
| 5 | 258 | 8 |
| 6 | 1554 | 8 |
| 7 | 1579 | 8 |
| 8 | 1702 | 8 |
| 9 | 2907 | 8 |
| 0 | 8277 | 8 |
| 0 | 11 | 14 |
| 0 | 16 | 14 |
| 1 | 27 | 14 |
| 2 | 54 | 14 |
| 3 | 150 | 14 |
| 4 | 454 | 14 |
| 0 | 1893 | 14 |
| 0 | 14 | 16 |
| 0 | 20 | 16 |
| 1 | 34 | 16 |
| 2 | 69 | 16 |
| 3 | 185 | 16 |
| 0 | 732 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 255 to 126 computations (50.6% saved)
(sort x y)
(abs x)
(abs y)
Compiled 832 to 480 computations (42.3% saved)
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