
Time bar (total: 5.7s)
| 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)
| 887.0ms | 8 256× | 0 | valid |
ival-mult: 209.0ms (57.9% of total)ival-div: 86.0ms (23.8% of total)ival-sub: 52.0ms (14.4% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 7 700× | lower-fma.f64 |
| 7 700× | lower-fma.f32 |
| 3 752× | lower-*.f32 |
| 3 748× | lower-*.f64 |
| 2 616× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 71 | 45 |
| 2 | 303 | 35 |
| 3 | 1658 | 35 |
| 4 | 3588 | 35 |
| 5 | 5120 | 35 |
| 6 | 5897 | 35 |
| 7 | 6043 | 35 |
| 8 | 6091 | 35 |
| 9 | 6178 | 35 |
| 10 | 6178 | 35 |
| 11 | 6640 | 35 |
| 12 | 7256 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 22 | 9 |
| 2 | 56 | 7 |
| 3 | 133 | 7 |
| 4 | 309 | 7 |
| 5 | 630 | 7 |
| 6 | 1135 | 7 |
| 7 | 4009 | 7 |
| 8 | 7041 | 7 |
| 0 | 8094 | 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 x y) (*.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 51 | 0 | - | 3 | (-1.975259075928087e-148 1.1394187378969815e-163) | (/.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 | 25 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 25 | |
/.f64 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/o | 23 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 3 |
| - | 0 | 205 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 3 |
| - | 0 | 0 | 205 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-sub: 22.0ms (66.7% of total)ival-mult: 6.0ms (18.2% of total)ival-div: 3.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.9% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 7 700× | lower-fma.f64 |
| 7 700× | lower-fma.f32 |
| 3 752× | lower-*.f32 |
| 3 748× | lower-*.f64 |
| 1 972× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 22 | 23 |
| 2 | 56 | 21 |
| 3 | 133 | 21 |
| 4 | 309 | 21 |
| 5 | 630 | 21 |
| 6 | 1135 | 21 |
| 7 | 4009 | 21 |
| 8 | 7041 | 21 |
| 0 | 8094 | 21 |
| 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) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 81.9% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 41.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 3.0ms (44.5% of total)ival-sub: 2.0ms (29.7% of total)ival-div: 2.0ms (29.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))> |
#<alt (-.f64 x y)> |
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 x #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x 2) |
| 1.0ms | y | @ | inf | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | x | @ | inf | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | x | @ | 0 | (/ (- x y) (* (* x 2) y)) |
| 1.0ms | y | @ | 0 | (/ (- x y) (* (* x 2) y)) |
| 1× | batch-egg-rewrite |
| 5 688× | lower-/.f32 |
| 5 686× | lower-/.f64 |
| 4 398× | lower-*.f32 |
| 4 394× | lower-*.f64 |
| 2 466× | lower-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 301 | 18 |
| 3 | 4219 | 18 |
| 0 | 10118 | 18 |
| 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) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) y) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y (neg.f64 y))) (neg.f64 (+.f64 x y))) |
(pow.f64 (-.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 x (neg.f64 (*.f64 y #s(literal -2 binary64)))) |
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 y (neg.f64 (*.f64 x #s(literal -2 binary64)))) |
(*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y)) |
(*.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) y) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
| 1× | egg-herbie |
| 16 868× | lower-fma.f64 |
| 16 868× | lower-fma.f32 |
| 2 616× | lower-*.f64 |
| 2 616× | lower-*.f32 |
| 2 482× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 399 |
| 1 | 106 | 399 |
| 2 | 239 | 399 |
| 3 | 553 | 369 |
| 4 | 1457 | 369 |
| 5 | 2639 | 369 |
| 6 | 4362 | 369 |
| 7 | 5570 | 369 |
| 8 | 6051 | 369 |
| 9 | 6296 | 369 |
| 10 | 6416 | 369 |
| 11 | 7573 | 369 |
| 0 | 8021 | 366 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 (* x y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x y)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 16 760 to 1 711 computations (89.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 5 | 704 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 699 | 6 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.3% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ▶ | 89.9% | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 81.9% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ▶ | 49.5% | (/.f64 #s(literal 1/2 binary64) y) |
| ▶ | 52.1% | (/.f64 #s(literal -1/2 binary64) x) |
| ▶ | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
Compiled 91 to 63 computations (30.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y x) y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 64 | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| 4 160× | lower-fma.f32 |
| 4 158× | lower-fma.f64 |
| 2 732× | lower-*.f32 |
| 2 730× | lower-*.f64 |
| 2 600× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 70 |
| 0 | 28 | 67 |
| 1 | 44 | 67 |
| 2 | 78 | 67 |
| 3 | 147 | 67 |
| 4 | 313 | 67 |
| 5 | 682 | 67 |
| 6 | 1814 | 67 |
| 7 | 3760 | 67 |
| 8 | 5484 | 67 |
| 9 | 6438 | 67 |
| 10 | 6745 | 67 |
| 11 | 6762 | 67 |
| 12 | 6776 | 67 |
| 13 | 6937 | 67 |
| 14 | 7111 | 67 |
| 15 | 7751 | 67 |
| 0 | 8005 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 |
(/.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 |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 y x) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(/.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 |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/.f64 (-.f64 y x) (*.f64 y (*.f64 x #s(literal -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)) |
#s(literal -1/2 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 y x) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 y x) y) |
| ✓ | accuracy | 90.0% | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 89.3% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
| 33.0ms | 256× | 0 | valid |
Compiled 74 to 19 computations (74.3% saved)
ival-div: 13.0ms (62.6% of total)ival-mult: 3.0ms (14.4% of total)ival-sub: 2.0ms (9.6% of total)ival-add: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))> |
#<alt (/.f64 #s(literal 1/2 binary64) y)> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
#<alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)> |
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))> |
#<alt (/.f64 y x)> |
#<alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))> |
#<alt (/.f64 (-.f64 y x) y)> |
#<alt (-.f64 y x)> |
#<alt (*.f64 x #s(literal -2 binary64))> |
| Outputs |
|---|
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (* -1/2 (/ y x))> |
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* -1/2 (/ y x))> |
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1/2 (/ y x))> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (+ 1/2 (* -1/2 (/ y x)))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 y)> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))> |
#<alt (* -1 (/ x y))> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (/ (/ (- y x) y) (* x -2)) |
| 1.0ms | y | @ | inf | (/ (/ (- y x) y) (* x -2)) |
| 0.0ms | y | @ | inf | (/ (+ (* -1/2 (/ y x)) 1/2) y) |
| 0.0ms | y | @ | 0 | (- (/ 1/2 y) (/ 1/2 x)) |
| 0.0ms | y | @ | 0 | (/ (+ (* -1/2 (/ y x)) 1/2) y) |
| 1× | batch-egg-rewrite |
| 5 194× | lower-/.f32 |
| 5 180× | lower-/.f64 |
| 4 626× | lower-*.f32 |
| 4 624× | lower-*.f64 |
| 3 598× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 53 |
| 0 | 28 | 53 |
| 1 | 125 | 53 |
| 2 | 1020 | 53 |
| 0 | 8296 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 y x) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
(*.f64 x #s(literal -2 binary64)) |
| Outputs |
|---|
(+.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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y (neg.f64 x))) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) x)) (/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
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(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 y (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) x y) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))))) |
(pow.f64 (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
| 1× | egg-herbie |
| 33 232× | lower-fma.f64 |
| 33 232× | lower-fma.f32 |
| 3 928× | lower-+.f64 |
| 3 928× | lower-+.f32 |
| 3 288× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 1068 |
| 1 | 134 | 1068 |
| 2 | 344 | 1068 |
| 3 | 1032 | 960 |
| 4 | 2007 | 960 |
| 5 | 3326 | 960 |
| 6 | 4657 | 960 |
| 7 | 5269 | 960 |
| 8 | 5508 | 960 |
| 9 | 5684 | 960 |
| 10 | 5722 | 960 |
| 11 | 5800 | 960 |
| 12 | 5854 | 960 |
| 13 | 6222 | 960 |
| 14 | 6550 | 960 |
| 15 | 6558 | 960 |
| 16 | 6562 | 960 |
| 17 | 6562 | 960 |
| 0 | 8392 | 942 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(* -1/2 (/ y x)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* -1/2 (/ y x)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1/2 (/ y x)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
1/2 |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(+ 1/2 (* -1/2 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ -1/2 x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* -1/2 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* -1/2 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(* -1/2 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 y) (* 1/2 x)) x) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (+ 1/2 (* -1/2 (/ y x))) y) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ (- (* 1/2 (/ x y)) 1/2) x) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
Compiled 12 316 to 1 713 computations (86.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 0 | 826 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 826 | 6 | 832 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.3% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | 89.9% | (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 81.9% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ✓ | 49.5% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | 52.1% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
Compiled 92 to 56 computations (39.1% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.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)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
3 calls:
| 7.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | x |
| 90.8% | 4 | y |
| 92.7% | 5 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal -1/2 binary64) x) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 3 | x |
| 77.7% | 3 | y |
| 61.5% | 5 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
Compiled 17 to 11 computations (35.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal -1/2 binary64) x) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 52.1% | 1 | x |
| 52.1% | 1 | y |
Compiled 17 to 11 computations (35.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9907724063220824e+301 | +inf |
| 0.0ms | -0.0 | 3.189609535416131e-109 |
| 0.0ms | -3.562648181454421e-108 | -4.578945038805963e-137 |
| 0.0ms | -inf | -2.664344356205021e+305 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.613440196663654e-10 | 1.7287855123134475e-5 |
| 27.0ms | -1.1114889259520341e+72 | -3.4000075079326914e+70 |
| 30.0ms | 256× | 0 | valid |
Compiled 206 to 172 computations (16.5% saved)
ival-mult: 3.0ms (45.1% of total)ival-sub: 2.0ms (30.1% of total)ival-div: 2.0ms (30.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 102 |
| 1 | 37 | 102 |
| 2 | 48 | 102 |
| 3 | 56 | 102 |
| 4 | 62 | 102 |
| 5 | 64 | 102 |
| 1× | saturated |
| Inputs |
|---|
(-.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)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -44000000000000000126392119055508628834274419723828598805323002473873408 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 1397820478929415/18889465931478580854784 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) x) |
| Outputs |
|---|
(-.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)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -44000000000000000126392119055508628834274419723828598805323002473873408 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 1397820478929415/18889465931478580854784 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) x) |
| 16 868× | lower-fma.f64 |
| 16 868× | lower-fma.f32 |
| 5 688× | lower-/.f32 |
| 5 686× | lower-/.f64 |
| 4 398× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 399 |
| 1 | 106 | 399 |
| 2 | 239 | 399 |
| 3 | 553 | 369 |
| 4 | 1457 | 369 |
| 5 | 2639 | 369 |
| 6 | 4362 | 369 |
| 7 | 5570 | 369 |
| 8 | 6051 | 369 |
| 9 | 6296 | 369 |
| 10 | 6416 | 369 |
| 11 | 7573 | 369 |
| 0 | 8021 | 366 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 301 | 18 |
| 3 | 4219 | 18 |
| 0 | 10118 | 18 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 133 to 53 computations (60.2% saved)
Compiled 248 to 88 computations (64.5% saved)
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