
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)
| 594.0ms | 8 256× | 0 | valid |
ival-mult: 174.0ms (53.8% of total)ival-div: 82.0ms (25.4% of total)ival-sub: 58.0ms (17.9% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 0 | - | 1 | (-6.298561360943179e-39 3.7440786322008985e-284) | (/.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/o | 36 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 36 | |
/.f64 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/u | 26 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 1 |
| - | 0 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 1 |
| - | 0 | 0 | 193 |
| number | freq |
|---|---|
| 0 | 194 |
| 1 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 18.0ms (64.2% of total)ival-mult: 6.0ms (21.4% of total)ival-sub: 3.0ms (10.7% 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)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 70 | 58 |
| 2 | 251 | 42 |
| 3 | 927 | 42 |
| 4 | 2529 | 42 |
| 5 | 7871 | 42 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 22 | 9 |
| 2 | 58 | 7 |
| 3 | 155 | 7 |
| 4 | 426 | 7 |
| 5 | 3245 | 7 |
| 0 | 8277 | 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) y) (/.f64 #s(literal 1/2 binary64) x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.7% | (/.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 (/ x y)) 1/2) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 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) |
| 2.0ms | y | @ | -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 | 64 | 212 |
| 0 | 69 | 201 |
| 1 | 276 | 198 |
| 0 | 2060 | 196 |
| 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 (/ x y)) 1/2) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (-.f64 x y) 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)) (fma.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 x y) #s(literal 2 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(/.f64 (-.f64 (*.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 x y) #s(literal 2 binary64)) x) y) |
(/.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 x y)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(-.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 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (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 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y)))) |
(/.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))) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 y #s(literal -1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.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 x (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 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 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) (neg.f64 y)) |
#s(approx (- x y) (-.f64 x y)) |
#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) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- x y) x) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#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 (- x y) (-.f64 x y)) |
#s(approx y y) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))) |
Compiled 1 143 to 223 computations (80.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 6 | 75 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 6 | 76 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.7% | (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
| 85.5% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) | |
| ▶ | 88.6% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) |
| ▶ | 46.8% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 54.7% | #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) y) (/.f64 #s(literal 1/2 binary64) x))) |
Compiled 176 to 128 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
(-.f64 x y) |
(*.f64 (+.f64 x x) y) |
(+.f64 x 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)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.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 (/ x y)) 1/2) x))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ -1/2 x))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (/ x y)) 1/2) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 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) 1/2) -1/2) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))) |
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #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 (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y)) |
| 2.0ms | x | @ | -inf | ((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y)) |
| 2.0ms | x | @ | inf | ((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y)) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y)) |
| 2.0ms | y | @ | 0 | ((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 667 |
| 0 | 127 | 633 |
| 1 | 439 | 583 |
| 0 | 2880 | 579 |
| 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) y) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
(-.f64 x y) |
(*.f64 (+.f64 x x) y) |
(+.f64 x 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)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.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 (/ x y)) 1/2) x))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ -1/2 x))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (/ x y)) 1/2) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 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) 1/2) -1/2) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 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 y)) (* 1/2 (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))) |
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #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 (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
| Outputs |
|---|
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y x)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) y) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #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 (/.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) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #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) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x))) |
(/.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) x) (/.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 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) y) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) (*.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) 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)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.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 (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 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (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 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) 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) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) y)) |
#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) x) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
x |
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 x y) 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)) (fma.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 x y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 (*.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 x y) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) y) |
(/.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 (-.f64 x 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 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (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 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y)))) |
(/.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))) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 y #s(literal -1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.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 x (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.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 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) |
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 x y) |
(neg.f64 (/.f64 x (neg.f64 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 (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.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 (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) 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) (neg.f64 y)) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (* (+ x x) y) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#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) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#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) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- x y) x) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (- (/ 1/2 y) (/ 1/2 x)) (/.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 (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (/ x y) 1/2) -1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) y)) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))) |
Compiled 4 627 to 687 computations (85.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 1 | 233 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 233 | 6 | 239 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.7% | (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
| ▶ | 85.5% | #s(approx (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 88.6% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) |
| ✓ | 46.8% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 54.7% | #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) y) (/.f64 #s(literal 1/2 binary64) x))) |
Compiled 88 to 63 computations (28.4% saved)
| Inputs |
|---|
#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 (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) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#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 (/ x y)) 1/2) 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 (/ x y)) 1/2) 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 y) (* 1/2 x)) 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 y))) |
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
#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 y)) (* 1/2 (/ 1 x))))) |
#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 (* -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 (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | inf | ((/ (- x y) (* (+ x x) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x) y x -1/2 1/2) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (* (+ x x) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x) y x -1/2 1/2) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (* (+ x x) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x) y x -1/2 1/2) |
| 1.0ms | x | @ | inf | ((/ (- x y) (* (+ x x) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x) y x -1/2 1/2) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (* (+ x x) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x) y x -1/2 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 309 |
| 0 | 63 | 289 |
| 1 | 235 | 287 |
| 2 | 1629 | 287 |
| 0 | 8279 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (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) |
#s(literal 1/2 binary64) |
#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 (/ x y)) 1/2) 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 (/ x y)) 1/2) 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 y) (* 1/2 x)) 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 y))) |
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
#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 y)) (* 1/2 (/ 1 x))))) |
#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 (* -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 (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))) |
| 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 (fma.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
(*.f64 (/.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)))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
(*.f64 (/.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)))) (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 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.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 (neg.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) y))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 y)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 (*.f64 y x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.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 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 y y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 y)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 (*.f64 y x) (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 (*.f64 y x) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 y) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 y x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 y (*.f64 #s(literal -1/2 binary64) y))) (*.f64 y (*.f64 y x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.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 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y))))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y))) |
(/.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 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) |
(/.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 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) y))) |
(/.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 (*.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 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y (*.f64 y #s(literal 1/2 binary64))) (*.f64 y 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 #s(literal 1/2 binary64) y (*.f64 y (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (*.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 (-.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 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64) #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 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) |
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)) |
(fma.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 (/.f64 y x) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 y y) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y y) (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) 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)) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.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 (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)))) #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)))) (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 1/8 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 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 (/.f64 y x) #s(literal 1/2 binary64)))))) |
(/.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 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64) #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 x) #s(literal -1/2 binary64) #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 1/8 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 (/.f64 y x) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 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 (/.f64 y 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 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #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 (neg.f64 (/.f64 y x)) #s(literal -1/2 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 3 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.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 (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 (/.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) #s(literal -1/2 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 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #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 y x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) x) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
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) 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) y)) |
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#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) y) (/.f64 #s(literal 1/2 binary64) x))) |
#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 (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 (+ (* (/ y x) -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
Compiled 5 713 to 710 computations (87.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 0 | 178 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 178 | 6 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.7% | (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
| ✓ | 85.5% | #s(approx (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 88.6% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) |
| ✓ | 46.8% | #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 54.7% | #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) y) (/.f64 #s(literal 1/2 binary64) x))) |
Compiled 203 to 99 computations (51.2% 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 (-.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) 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) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) 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)) |
| Outputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
3 calls:
| 5.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 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 (-.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) x)) |
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 5 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 86.5% | 5 | x |
| 89.2% | 5 | 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)) |
| Outputs |
|---|
#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)) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | x |
| 80.7% | 3 | y |
| 59.9% | 3 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 11 to 11 computations (0% 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 | y |
| 1.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 54.7% | 1 | x |
| 54.7% | 1 | y |
Compiled 11 to 11 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.603765442042145e+303 | +inf |
| 0.0ms | -0.0 | 1.1122679758889516e-95 |
| 0.0ms | -5.824577596500383e-74 | -8.883001124261338e-99 |
| 0.0ms | -inf | -6.21493255106449e+303 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.489257499309139e-8 | 5.422776471920745e-6 |
| 14.0ms | -67009641.46546229 | -5.159218479996365 |
| 12.0ms | 256× | 0 | valid |
Compiled 428 to 364 computations (15% saved)
ival-mult: 3.0ms (45.1% of total)ival-sub: 2.0ms (30.1% of total)ival-div: 1.0ms (15% 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)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 170 |
| 1 | 59 | 170 |
| 2 | 105 | 170 |
| 3 | 209 | 170 |
| 4 | 524 | 170 |
| 5 | 4491 | 170 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -6365737426045269/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(if (<=.f64 y #s(literal -120000 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4722366482869645/9444732965739290427392 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) y) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -6365737426045269/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(if (<=.f64 y #s(literal -120000 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4722366482869645/9444732965739290427392 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)))) |
(if (or (<=.f64 y #s(literal -120000 binary64)) (not (<=.f64 y #s(literal 4722366482869645/9444732965739290427392 binary64)))) #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))) |
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) |
| 1× | done |
Compiled 170 to 43 computations (74.7% saved)
Compiled 372 to 112 computations (69.9% saved)
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