
Time bar (total: 2.4s)
| 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 9 to 9 computations (0% saved)
| 642.0ms | 8 256× | 0 | valid |
ival-div: 103.0ms (39.2% of total)ival-mult: 90.0ms (34.3% of total)ival-add: 50.0ms (19% of total)exact: 8.0ms (3% of total)ival-true: 6.0ms (2.3% of total)ival-assert: 3.0ms (1.1% of total)adjust: 2.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 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 |
| 23.0ms | 512× | 0 | valid |
Compiled 45 to 25 computations (44.4% saved)
ival-div: 3.0ms (29.1% of total)ival-add: 3.0ms (29.1% of total)ival-mult: 3.0ms (29.1% of total)exact: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 34 |
| 1 | 58 | 34 |
| 2 | 179 | 30 |
| 3 | 724 | 30 |
| 4 | 1690 | 30 |
| 5 | 5931 | 30 |
| 0 | 7 | 5 |
| 0 | 11 | 5 |
| 1 | 22 | 5 |
| 2 | 36 | 5 |
| 3 | 61 | 5 |
| 4 | 142 | 5 |
| 5 | 454 | 5 |
| 6 | 4055 | 5 |
| 0 | 8118 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(sort x y)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
Compiled 7 to 7 computations (0% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 0 | 11 | 13 |
| 1 | 22 | 13 |
| 2 | 36 | 13 |
| 3 | 61 | 13 |
| 4 | 142 | 13 |
| 5 | 454 | 13 |
| 6 | 4055 | 13 |
| 0 | 8118 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 46.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-div: 2.0ms (39% of total)ival-mult: 2.0ms (39% of total)ival-add: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ 1 2) (* (/ 1 2) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | -inf | ((/ 1 2) (* (/ 1 2) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | inf | ((/ 1 2) (* (/ 1 2) (+ x y)) (+ x y)) |
| 0.0ms | y | @ | inf | ((/ 1 2) (* (/ 1 2) (+ x y)) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ 1 2) (* (/ 1 2) (+ x y)) (+ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 118 |
| 1 | 141 | 118 |
| 2 | 336 | 118 |
| 3 | 899 | 118 |
| 4 | 4318 | 118 |
| 0 | 8094 | 118 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) x) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ x y) (+.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 36 | 9 |
| 0 | 200 | 9 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 424 to 101 computations (76.2% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 3 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 31 | 3 | 34 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ▶ | 47.9% | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 54.4% | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 27 to 25 computations (7.4% saved)
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 0 | 18 | 39 |
| 1 | 26 | 39 |
| 2 | 38 | 39 |
| 3 | 63 | 39 |
| 4 | 144 | 39 |
| 5 | 456 | 39 |
| 6 | 4057 | 39 |
| 0 | 8131 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
y |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 33.34418036783881 | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 29.196038362988357 | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 37 to 14 computations (62.2% saved)
ival-mult: 6.0ms (56.4% of total)ival-div: 2.0ms (18.8% of total)ival-add: 2.0ms (18.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | x | @ | inf | ((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | x | @ | 0 | ((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | y | @ | -inf | ((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | y | @ | inf | ((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 205 |
| 1 | 155 | 205 |
| 2 | 348 | 205 |
| 3 | 911 | 205 |
| 4 | 4342 | 205 |
| 0 | 8096 | 205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) y) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) x) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* 1/2 y) (*.f64 y #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ y x) (+.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 0 | 18 | 32 |
| 1 | 48 | 32 |
| 0 | 261 | 32 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 606 to 125 computations (79.4% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 0 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 46 | 3 | 49 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | 47.9% | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 54.4% | #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 61 to 44 computations (27.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
4 calls:
| 5.0ms | x |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 12 to 14 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)) |
4 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 1.0ms | y |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (+.f64 x y) |
| 98.6% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 84.6% | 2 | x |
| 84.3% | 2 | y |
Compiled 12 to 14 computations (-16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
4 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | y |
| 54.4% | 1 | x |
| 54.4% | 1 | (+.f64 x y) |
| 54.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2648342303630795e-251 | 3.912752994983455e-268 |
Compiled 10 to 12 computations (-20% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 33 | 42 |
| 2 | 62 | 42 |
| 3 | 237 | 42 |
| 4 | 1199 | 42 |
| 5 | 4907 | 42 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) #s(literal -5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y)) #s(literal -5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) |
| 1× | done |
Compiled 48 to 22 computations (54.2% saved)
(sort x y)
Compiled 130 to 78 computations (40% saved)
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