
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 500.0ms | 8 256× | 0 | valid |
ival-div!: 114.0ms (46.9% of total)ival-mult!: 77.0ms (31.7% of total)ival-add!: 51.0ms (21% of total)adjust: 2.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 1 | (2.5166395880358958e-230 -4.855497427832445e-86) | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/u | 30 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 30 | |
/.f64 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/o | 30 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 1 |
| - | 0 | 195 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 1 |
| - | 0 | 0 | 195 |
| number | freq |
|---|---|
| 0 | 196 |
| 1 | 60 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult!: 5.0ms (57.8% of total)ival-add!: 2.0ms (23.1% of total)ival-div!: 2.0ms (23.1% of total)adjust: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 72 | 58 |
| 2 | 264 | 42 |
| 3 | 1013 | 42 |
| 4 | 3127 | 42 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 23 | 9 |
| 2 | 61 | 7 |
| 3 | 167 | 7 |
| 4 | 491 | 7 |
| 5 | 3419 | 7 |
| 0 | 8368 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(sort x y)
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.7% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(+.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 201 |
| 0 | 65 | 193 |
| 1 | 255 | 193 |
| 0 | 1893 | 189 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(+.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (-.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x) y) |
(/.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 (+.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(+.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(+.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.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) |
x |
y |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx x x) |
#s(approx (* (* x 2) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
Compiled 1 110 to 216 computations (80.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 7 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 67 | 7 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| 77.7% | (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) | |
| ▶ | 42.0% | (/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ▶ | 37.8% | (/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 87.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) | |
| ▶ | 47.2% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 54.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 184 to 134 computations (27.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (+ x y) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (+ x y) y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) 2 (/ (+ x y) (* (* x 2) y)) (+ x y)) |
| 2.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) 2 (/ (+ x y) (* (* x 2) y)) (+ x y)) |
| 2.0ms | y | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) 2 (/ (+ x y) (* (* x 2) y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) 2 (/ (+ x y) (* (* x 2) y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) 2 (/ (+ x y) (* (* x 2) y)) (+ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 378 |
| 0 | 86 | 366 |
| 1 | 307 | 366 |
| 0 | 2146 | 360 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (+ x y) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (+ x y) y) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) y) x) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) x) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 y x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) |
#s(literal 1/2 binary64) |
x |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (/.f64 #s(approx (+ x y) x) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 #s(approx (+ x y) x) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 #s(approx (+ x y) x) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) x))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(/.f64 (/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) x) y) |
(/.f64 (neg.f64 #s(approx (+ x y) x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
#s(approx (+ x y) x) |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(approx (+ x y) y) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) y) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 #s(approx (+ x y) y) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) y))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(/.f64 (/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) x) y) |
(/.f64 (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
#s(approx (+ x y) y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (* x 2) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ -1/2 y) (/.f64 #s(literal -1/2 binary64) y)) |
#s(approx y y) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
Compiled 3 398 to 461 computations (86.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 2 | 194 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 194 | 7 | 201 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.7% | (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
| ▶ | 42.0% | (/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
| ▶ | 37.8% | (/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
| ▶ | 87.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 47.2% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 54.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 92 to 65 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
#s(approx (+ x y) x) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
#s(approx (+ x y) y) |
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
(+.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ y x)))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ y x))))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x) y x 1/2 (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (+ x x) y)) (+ x y) (/ (+ x y) (* (+ x x) y)) (+ x y)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x) y x 1/2 (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (+ x x) y)) (+ x y) (/ (+ x y) (* (+ x x) y)) (+ x y)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x) y x 1/2 (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (+ x x) y)) (+ x y) (/ (+ x y) (* (+ x x) y)) (+ x y)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x) y x 1/2 (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (+ x x) y)) (+ x y) (/ (+ x y) (* (+ x x) y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x) y x 1/2 (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (+ x x) y)) (+ x y) (/ (+ x y) (* (+ x x) y)) (+ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 510 |
| 0 | 103 | 484 |
| 1 | 369 | 444 |
| 0 | 2496 | 439 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
#s(approx (+ x y) x) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
#s(approx (+ x y) y) |
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
(+.f64 x y) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ y x)))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ y x))))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) y)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) y)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) y)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) y)) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))))) |
(+.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(approx (+ x y) x) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) x) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) y) |
(/.f64 (/.f64 #s(approx (+ x y) x) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) x))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 #s(approx (+ x y) x)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) x)) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) x) (*.f64 #s(literal -2 binary64) y))) |
#s(approx (+ x y) x) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(+.f64 y y) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(approx (+ x y) y) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) y) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64)) y) |
(/.f64 (/.f64 #s(approx (+ x y) y) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ x y) y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) y))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) y)) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) y) (*.f64 #s(literal -2 binary64) y))) |
#s(approx (+ x y) y) |
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 #s(literal 2 binary64) y) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y) |
(/.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))) |
(+.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))) |
(/.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) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (+ x x) y) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
Compiled 4 377 to 632 computations (85.6% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 0 | 249 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 249 | 7 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.7% | (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
| ✓ | 42.0% | (/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
| ✓ | 37.8% | (/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
| ✓ | 87.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 47.2% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 54.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 215 to 99 computations (54% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 5 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 93.3% | 3 | x |
| 91.0% | 4 | y |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y)) |
(/.f64 #s(approx (+ x y) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 54.3% | 1 | y |
| 54.3% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -4.951349172287128e-174 | -1.19195387457314e-174 |
| 6.0ms | -1.9974104779861588e+123 | -6.099047828544164e+122 |
| 7.0ms | 176× | 0 | valid |
Compiled 254 to 210 computations (17.3% saved)
ival-mult!: 2.0ms (67.2% of total)ival-add!: 1.0ms (33.6% of total)ival-div!: 1.0ms (33.6% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -7.783597893668799e-30 | -1.0461486503118874e-32 |
| 5.0ms | 128× | 0 | valid |
Compiled 220 to 188 computations (14.5% saved)
ival-mult!: 1.0ms (46.5% of total)ival-div!: 1.0ms (46.5% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 103 |
| 1 | 43 | 103 |
| 2 | 89 | 103 |
| 3 | 201 | 103 |
| 4 | 587 | 103 |
| 5 | 4643 | 103 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(if (<=.f64 x #s(literal -1949999999999999963873636547406281693767696245276775286463570444530357613195472063889992993224091267609336537990757330452480 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2283448063018921/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728 binary64)) (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -677942654035331/89202980794122492566142873090593446023921664 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(if (<=.f64 x #s(literal -1949999999999999963873636547406281693767696245276775286463570444530357613195472063889992993224091267609336537990757330452480 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2283448063018921/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728 binary64)) (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -677942654035331/89202980794122492566142873090593446023921664 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| 1× | done |
Compiled 103 to 29 computations (71.8% saved)
(sort x y)
Compiled 258 to 98 computations (62% saved)
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