Linear.Projection:inversePerspective from linear-1.19.1.3, C
Time bar (total: 7.6s)
| 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)
| 745.0ms | 8 256× | 0 | valid |
ival-mult: 215.0ms (43.1% of total)ival-div: 156.0ms (31.3% of total)ival-add: 116.0ms (23.3% of total)ival-true: 5.0ms (1% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| 1× | egg-herbie |
| 1 808× | div-sub |
| 832× | distribute-rgt-in |
| 832× | distribute-lft-in |
| 620× | sub-neg |
| 502× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 62 | 45 |
| 2 | 206 | 45 |
| 3 | 853 | 45 |
| 4 | 2809 | 37 |
| 5 | 6431 | 37 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 18 | 9 |
| 2 | 32 | 9 |
| 3 | 46 | 9 |
| 4 | 48 | 9 |
| 0 | 48 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 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)))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 198 | (2.8173134209485297e-71 4.461647064900028e+85) | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 256 | 0 | - | 256 | (-3.854370224986939e+290 1.3466987899700955e+256) | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 256 | 0 | - | 256 | (-3.854370224986939e+290 1.3466987899700955e+256) | (*.f64 x #s(literal 2 binary64)) |
| 131 | 0 | - | 131 | (2.8173134209485297e-71 4.461647064900028e+85) | (+.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) | n/o | 33 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 33 | |
/.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 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 3 |
| - | 0 | 195 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 3 |
| - | 0 | 0 | 195 |
| number | freq |
|---|---|
| 0 | 198 |
| 1 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 97 to 39 computations (59.8% saved)
ival-mult: 6.0ms (44.1% of total)ival-div: 4.0ms (29.4% of total)ival-add: 3.0ms (22.1% 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 |
|---|---|---|
| ▶ | 77.9% | (/.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)) |
| 38× | lower-/.f32 |
| 36× | lower-/.f64 |
| 32× | associate-/r* |
| 24× | lower-*.f32 |
| 20× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 18 | 23 |
| 2 | 32 | 23 |
| 3 | 46 | 23 |
| 4 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 52.2% | (+.f64 x y) |
| ✓ | accuracy | 5.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| ✓ | accuracy | 5.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 3.4% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 13.0ms | 256× | 0 | valid |
Compiled 50 to 16 computations (68% saved)
ival-mult: 3.0ms (46.4% of total)ival-div: 2.0ms (30.9% of total)ival-add: 1.0ms (15.5% 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 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<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 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 x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (* x 2) y) |
| 1.0ms | y | @ | inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | -inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | inf | (/ (+ x y) (* (* x 2) y)) |
| 1.0ms | x | @ | 0 | (/ (+ x y) (* (* x 2) y)) |
Compiled 166 to 115 computations (30.7% saved)
| 1× | batch-egg-rewrite |
| 5 768× | lower-/.f32 |
| 5 766× | lower-/.f64 |
| 4 196× | lower-*.f32 |
| 4 192× | lower-*.f64 |
| 1 826× | frac-2neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 39 | 20 |
| 2 | 251 | 20 |
| 3 | 2914 | 20 |
| 0 | 8839 | 20 |
| 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 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))) (/.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 x (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 y (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 y y) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) y) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) y) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) y) (/.f64 (/.f64 (*.f64 y y) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) y)) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) (neg.f64 (neg.f64 y))) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (neg.f64 (neg.f64 y)))) |
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(/.f64 (neg.f64 (*.f64 (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))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (neg.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 x x (*.f64 y 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)) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.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 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.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 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (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 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.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 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(*.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 x (-.f64 x y) (*.f64 y 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) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x 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 x (-.f64 x y) (*.f64 y y)) (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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.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 (*.f64 x y) #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64))) |
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)) (neg.f64 (neg.f64 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 (*.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 (*.f64 x y) #s(literal -2 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 x #s(literal -2 binary64))) |
(*.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 y)) (*.f64 x #s(literal 2 binary64))) |
(*.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 |
| 5 738× | lower-fma.f64 |
| 5 738× | lower-fma.f32 |
| 4 120× | lower-*.f64 |
| 4 120× | lower-*.f32 |
| 1 790× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 344 |
| 1 | 95 | 344 |
| 2 | 176 | 344 |
| 3 | 492 | 344 |
| 4 | 1378 | 344 |
| 5 | 2748 | 344 |
| 6 | 4155 | 344 |
| 7 | 5054 | 344 |
| 8 | 5834 | 344 |
| 9 | 6257 | 344 |
| 10 | 6401 | 344 |
| 11 | 7753 | 344 |
| 0 | 8211 | 338 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 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 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) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.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 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #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 y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(* 2 (* x y)) |
(*.f64 x (*.f64 y #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)) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 15 302 to 1 660 computations (89.2% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 657 | 7 | 664 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 657 | 8 | 665 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x) | |
| ▶ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | 77.9% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ▶ | 88.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
| ▶ | 52.3% | (/.f64 #s(literal 1/2 binary64) y) |
| ▶ | 48.3% | (/.f64 #s(literal 1/2 binary64) x) |
| 87.8% | (*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x)) | |
| ▶ | 77.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
Compiled 141 to 93 computations (34% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 x y) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x 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 (+.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
| 9 750× | lower-fma.f32 |
| 9 748× | lower-fma.f64 |
| 7 016× | lower-*.f32 |
| 7 008× | lower-*.f64 |
| 3 640× | associate-/r/ |
Useful iterations: 11 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 92 |
| 0 | 31 | 97 |
| 1 | 57 | 97 |
| 2 | 126 | 91 |
| 3 | 261 | 85 |
| 4 | 478 | 85 |
| 5 | 1352 | 85 |
| 6 | 2972 | 85 |
| 7 | 5968 | 85 |
| 8 | 6229 | 85 |
| 9 | 6239 | 85 |
| 10 | 6239 | 85 |
| 11 | 6239 | 84 |
| 12 | 7733 | 84 |
| 13 | 7754 | 84 |
| 14 | 7754 | 84 |
| 15 | 7754 | 84 |
| 16 | 7754 | 84 |
| 17 | 7754 | 84 |
| 0 | 8952 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x) |
(/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
y |
(*.f64 (+.f64 x y) #s(literal 1/2 binary64)) |
(+.f64 x y) |
x |
#s(literal 1/2 binary64) |
(/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
x |
y |
(+.f64 x 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 |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
(/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 y (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
y |
(*.f64 (+.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 x y) |
(+.f64 y x) |
x |
#s(literal 1/2 binary64) |
(/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 y x)) |
(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 |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 4.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 3.6% | (/.f64 y x) |
| ✓ | accuracy | 3.6% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 5.0% | (*.f64 x y) |
| ✓ | accuracy | 4.2% | (+.f64 x y) |
| ✓ | accuracy | 3.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
| ✓ | accuracy | 3.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
| ✓ | accuracy | 4.5% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 10.6% | (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 4.2% | (+.f64 x y) |
| ✓ | accuracy | 4.2% | (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 3.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
| 36.0ms | 256× | 0 | valid |
Compiled 190 to 37 computations (80.5% saved)
ival-div: 12.0ms (50% of total)ival-mult: 9.0ms (37.5% of total)ival-add: 2.0ms (8.3% 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 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x))> |
#<alt (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)> |
#<alt (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (+.f64 x y) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (+.f64 x y)> |
#<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)> |
| 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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (* 2 y)> |
#<alt (* y (+ 2 (* -2 (/ y x))))> |
#<alt (* y (+ 2 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))> |
#<alt (* y (+ 2 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ x y)))> |
#<alt (+ 2 (+ (* -2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))> |
#<alt (+ 2 (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* 2 (/ (pow x 2) (pow y 2))))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ x y)))> |
#<alt (+ 2 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* -2 (/ x y))))> |
#<alt (* x (+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))))> |
#<alt (* x (+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))))> |
#<alt (* 2 y)> |
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))> |
#<alt (+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))> |
#<alt (+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))> |
#<alt (* 2 y)> |
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))> |
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* 2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y))> |
#<alt (* 2 (/ y x))> |
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))> |
#<alt (* y (+ (* y (- (* y (+ (* -2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ x y)))> |
#<alt (- (+ 2 (* 2 (/ (pow x 2) (pow y 2)))) (* 2 (/ x y)))> |
#<alt (- (+ 2 (* -2 (/ (pow x 3) (pow y 3)))) (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ x y)))> |
#<alt (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* -2 x)) y)))> |
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* -2 x)) y)))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ x y)))> |
#<alt (+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))> |
#<alt (+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))> |
#<alt (* 2 (/ y x))> |
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)> |
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))) x)> |
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))) x)> |
#<alt (* 2 (/ y x))> |
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x))> |
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (/ (pow y 4) x))) x))) x))) x))> |
#<alt (* 1/2 y)> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (+ (* 1/2 x) (* 1/2 y))> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))> |
#<alt (* 1/2 y)> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 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 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 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 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x y))> |
#<alt (/ 1/2 (* x 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 (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<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 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ y x))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)> |
#<alt (/ (+ (* 1/2 x) (* 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 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)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (+ (* 1/2 (/ y x)) 1/2) y) |
| 2.0ms | x | @ | -inf | (/ 1 (* (/ y (* (+ x y) 1/2)) x)) |
| 1.0ms | y | @ | 0 | (* (/ y (* (+ x y) 1/2)) x) |
| 1.0ms | y | @ | inf | (+ x y) |
| 1.0ms | y | @ | 0 | (/ 1/2 (* x y)) |
Compiled 638 to 442 computations (30.7% saved)
| 1× | batch-egg-rewrite |
| 4 946× | lower-*.f32 |
| 4 938× | lower-*.f64 |
| 3 912× | lower-/.f32 |
| 3 898× | lower-/.f64 |
| 3 752× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 75 |
| 0 | 31 | 77 |
| 1 | 126 | 73 |
| 2 | 813 | 73 |
| 3 | 7862 | 73 |
| 0 | 8901 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x) |
(/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 x y) |
(+.f64 x 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)) |
(/.f64 y x) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 x (+.f64 y x))))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x (*.f64 y x)))) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 y (*.f64 y x)) (/.f64 y (*.f64 y x)))) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) y (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (neg.f64 y))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 x (neg.f64 y))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y (neg.f64 x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (neg.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y (neg.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y (*.f64 y x)) #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 y x)) #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 y (*.f64 x (neg.f64 y))) #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 x (neg.f64 y))) #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))) |
(neg.f64 (neg.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)) (*.f64 y x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 y x) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 y x) x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (+.f64 y x))) |
(neg.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))) |
(neg.f64 (*.f64 (/.f64 (+.f64 y x) y) (/.f64 #s(literal -1/2 binary64) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 x (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (*.f64 x (-.f64 x y)))) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x (-.f64 x y))) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x (*.f64 y x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x))))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x (*.f64 y x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) x))) |
(/.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x (*.f64 (+.f64 y x) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)) (*.f64 x (neg.f64 y))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (*.f64 y (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) y) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 y (*.f64 x (-.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (*.f64 y (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (*.f64 y (*.f64 x (-.f64 x y))))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64))))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))) (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 y x) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 13 316× | lower-fma.f64 |
| 13 316× | lower-fma.f32 |
| 4 930× | lower-*.f64 |
| 4 930× | lower-*.f32 |
| 1 628× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 1782 |
| 1 | 640 | 1748 |
| 2 | 1497 | 1686 |
| 3 | 4781 | 1686 |
| 0 | 8247 | 1590 |
| 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(* 2 y) |
(* y (+ 2 (* -2 (/ y x)))) |
(* y (+ 2 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
2 |
(+ 2 (* -2 (/ x y))) |
(+ 2 (+ (* -2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))) |
(+ 2 (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* 2 (/ (pow x 2) (pow y 2)))))) |
2 |
(+ 2 (* -2 (/ x y))) |
(+ 2 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
(* 2 x) |
(* x (+ 2 (* -2 (/ x y)))) |
(* x (+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))) |
(* x (+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))) |
(* 2 y) |
(+ (* -2 (/ (pow y 2) x)) (* 2 y)) |
(+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))) |
(* 2 y) |
(+ (* -2 (/ (pow y 2) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* 2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(* 2 (/ y x)) |
(* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(* y (+ (* y (- (* y (+ (* -2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
2 |
(+ 2 (* -2 (/ x y))) |
(- (+ 2 (* 2 (/ (pow x 2) (pow y 2)))) (* 2 (/ x y))) |
(- (+ 2 (* -2 (/ (pow x 3) (pow y 3)))) (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y)))) |
2 |
(+ 2 (* -2 (/ x y))) |
(+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* -2 x)) y))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* -2 x)) y))) |
2 |
(+ 2 (* -2 (/ x y))) |
(+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))) |
(+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))) |
(* 2 (/ y x)) |
(/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x) |
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))) x) |
(* 2 (/ y x)) |
(* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (/ (pow y 4) x))) x))) x))) x)) |
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x y)) |
(/ 1/2 (* x 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) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
x |
x |
x |
x |
x |
x |
x |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
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 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(/ (+ (* 1/2 x) (* 1/2 y)) 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) |
| Outputs |
|---|
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* -2 (/ y x)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) |
(* y (+ 2 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 y (fma.f64 y (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(* y (+ 2 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* 2 (/ (pow x 2) (pow y 2)))))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) y)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) y)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -2 (/ x y)))) |
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(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y 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) |
Compiled 28 089 to 2 770 computations (90.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 623 | 3 | 1 626 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 626 | 8 | 1 634 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ▶ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
| ✓ | 77.9% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ▶ | 36.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
| ✓ | 52.3% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | 48.3% | (/.f64 #s(literal 1/2 binary64) x) |
| ▶ | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 77.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
Compiled 70 to 46 computations (34.3% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 64 | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| 8 274× | lower-fma.f32 |
| 8 272× | lower-fma.f64 |
| 4 250× | lower-/.f32 |
| 4 238× | lower-/.f64 |
| 3 582× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 22 | 49 |
| 1 | 32 | 49 |
| 2 | 44 | 49 |
| 3 | 62 | 49 |
| 4 | 79 | 49 |
| 5 | 187 | 49 |
| 6 | 683 | 49 |
| 7 | 3173 | 49 |
| 8 | 5282 | 49 |
| 9 | 5648 | 49 |
| 10 | 5939 | 49 |
| 11 | 6195 | 49 |
| 12 | 6435 | 49 |
| 0 | 8549 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
(/.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 3.6% | (/.f64 x y) |
| ✓ | accuracy | 3.3% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 3.2% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | accuracy | 5.5% | (/.f64 y x) |
| ✓ | accuracy | 2.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 3.9% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 3.5% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 114 to 27 computations (76.3% saved)
ival-div: 13.0ms (69.2% of total)ival-add: 3.0ms (16% of total)ival-mult: 3.0ms (16% 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) x) (/.f64 #s(literal 1/2 binary64) y))> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 #s(literal 1/2 binary64) y)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (/.f64 y x)> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)> |
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))> |
#<alt (/.f64 x y)> |
| Outputs |
|---|
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 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 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 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 x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 1/2 (/ y x))> |
#<alt (* 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 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 y)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<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 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ (* 1/2 (/ x y)) 1/2) |
| 1.0ms | x | @ | -inf | (/ (+ (* 1/2 (/ x y)) 1/2) x) |
| 1.0ms | x | @ | inf | (/ (+ (* 1/2 (/ x y)) 1/2) x) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | -inf | (* 1/2 (/ y x)) |
Compiled 368 to 262 computations (28.8% saved)
| 1× | batch-egg-rewrite |
| 6 420× | lower-fma.f32 |
| 6 418× | lower-fma.f64 |
| 5 166× | lower-*.f32 |
| 5 164× | lower-*.f64 |
| 3 868× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 22 | 45 |
| 1 | 94 | 45 |
| 2 | 779 | 45 |
| 0 | 8599 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.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) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(+.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 1/4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) (*.f64 x y))) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) (*.f64 x y))))) |
(-.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)) |
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(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
| 1× | egg-herbie |
| 8 738× | lower-fma.f64 |
| 8 738× | lower-fma.f32 |
| 7 378× | lower-*.f64 |
| 7 378× | lower-*.f32 |
| 1 890× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 912 |
| 1 | 55 | 912 |
| 2 | 90 | 912 |
| 3 | 133 | 840 |
| 4 | 172 | 840 |
| 5 | 374 | 840 |
| 6 | 921 | 840 |
| 7 | 2224 | 840 |
| 8 | 3071 | 840 |
| 9 | 3959 | 840 |
| 10 | 4867 | 840 |
| 11 | 5723 | 840 |
| 12 | 7119 | 840 |
| 0 | 8233 | 822 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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 x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 1/2 (/ y x)) |
(* 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 x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 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 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* 1/2 (/ x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ 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 y) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 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 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 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 x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(* 1/2 (/ y x)) |
(*.f64 #s(literal 1/2 binary64) (/.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) |
(/ y x) |
(/.f64 y x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ (+ 1/2 (* 1/2 (/ y x))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 x y)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
Compiled 8 646 to 1 115 computations (87.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 1 | 663 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 662 | 9 | 671 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
| ✓ | 77.9% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ✓ | 36.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
| ▶ | 36.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
| ✓ | 52.3% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | 48.3% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 77.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
Compiled 79 to 52 computations (34.2% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
| 9 074× | lower-*.f32 |
| 9 070× | lower-*.f64 |
| 3 064× | associate-/r/ |
| 2 208× | cube-prod |
| 2 136× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 18 | 12 |
| 2 | 36 | 12 |
| 3 | 111 | 12 |
| 4 | 207 | 12 |
| 5 | 699 | 12 |
| 6 | 1761 | 12 |
| 7 | 2055 | 12 |
| 8 | 2322 | 12 |
| 9 | 2729 | 12 |
| 10 | 3202 | 12 |
| 11 | 3915 | 12 |
| 12 | 4475 | 12 |
| 13 | 5268 | 12 |
| 14 | 5588 | 12 |
| 15 | 5646 | 12 |
| 16 | 5673 | 12 |
| 17 | 6192 | 12 |
| 18 | 6736 | 12 |
| 19 | 7537 | 12 |
| 0 | 8014 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x y) |
(*.f64 y x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 18.8% | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 3.8% | (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-mult: 3.0ms (56.8% of total)ival-div: 2.0ms (37.9% 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 x y))> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 x y)> |
| Outputs |
|---|
#<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 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (* x y) |
| 0.0ms | x | @ | -inf | (* x y) |
| 0.0ms | y | @ | 0 | (/ (* 1/2 y) (* x y)) |
| 0.0ms | y | @ | inf | (/ (* 1/2 y) (* x y)) |
| 0.0ms | x | @ | inf | (/ (* 1/2 y) (* x y)) |
Compiled 76 to 55 computations (27.6% saved)
| 1× | batch-egg-rewrite |
| 2 154× | lower-*.f32 |
| 2 150× | lower-*.f64 |
| 1 398× | log-div |
| 1 348× | lower-/.f32 |
| 1 346× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 26 | 9 |
| 2 | 133 | 9 |
| 3 | 798 | 9 |
| 4 | 5046 | 9 |
| 0 | 8805 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 y (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y))) |
(/.f64 y (*.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) y) |
(/.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 y) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y))) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 y x)))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x y)) |
(/.f64 (/.f64 y x) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 y x) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 (*.f64 y y) x) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 y y) x) (*.f64 (neg.f64 y) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 y y)) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 (*.f64 y x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y x) (/.f64 y (*.f64 x #s(literal -2 binary64))))) (*.f64 y (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 y x) (/.f64 y (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 y x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (*.f64 y x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y x) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y x) (/.f64 y x))) (*.f64 (*.f64 y x) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x))) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 y (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) x) (*.f64 (*.f64 y x) (/.f64 (*.f64 x #s(literal -2 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y x)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) (neg.f64 y)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) (neg.f64 y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) x) |
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) |
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(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y x)) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 x y #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 x (exp.f64 (log.f64 (neg.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (*.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) x #s(literal 0 binary64)) |
(neg.f64 (*.f64 y x)) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 y x) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (exp.f64 (log.f64 (neg.f64 y)))) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (/.f64 x y) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (*.f64 y x))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x)) |
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) x) |
| 1× | egg-herbie |
| 16× | lower-+.f64 |
| 16× | lower-+.f32 |
| 12× | lower-*.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 152 |
| 1 | 12 | 152 |
| 2 | 14 | 152 |
| 3 | 15 | 152 |
| 4 | 17 | 152 |
| 5 | 19 | 152 |
| 6 | 23 | 152 |
| 7 | 35 | 152 |
| 8 | 38 | 152 |
| 0 | 38 | 152 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 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 y) |
(* 1/2 y) |
(* 1/2 y) |
y |
y |
y |
y |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
x |
x |
x |
x |
x |
x |
x |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ 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 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) |
y |
y |
y |
y |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
x |
x |
x |
x |
x |
x |
x |
x |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
Compiled 4 142 to 692 computations (83.3% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 0 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 377 | 9 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
| ✓ | 87.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
| ✓ | 77.9% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| ✓ | 36.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
| ✓ | 36.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
| ✓ | 52.3% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | 48.3% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 77.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
Compiled 170 to 85 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 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 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x 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) x) |
3 calls:
| 7.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | x |
| 89.3% | 3 | y |
| 89.6% | 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) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) x) |
3 calls:
| 3.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 4 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 80.8% | 2 | y |
| 84.5% | 2 | x |
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 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 48.3% | 1 | y |
| 48.3% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -4.45465273760546e-150 | -1.807088718935933e-151 |
| 13.0ms | -1.693487487467288e+105 | -2.1085013084511565e+99 |
| 12.0ms | 256× | 0 | valid |
Compiled 302 to 220 computations (27.2% saved)
ival-mult: 3.0ms (46.8% of total)ival-div: 2.0ms (31.2% of total)ival-add: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.45465273760546e-150 | -1.807088718935933e-151 |
| 6.0ms | -5.880403386407355e+87 | -1.7588264526024102e+87 |
| 3.0ms | 80× | 0 | valid |
Compiled 230 to 168 computations (27% saved)
ival-mult: 1.0ms (52.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | -1.3653391860381945e-41 | -6.959831943130659e-42 |
| 3.0ms | 64× | 0 | valid |
Compiled 62 to 52 computations (16.1% saved)
ival-mult: 1.0ms (65.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 66 |
| 1 | 33 | 66 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 x #s(literal -1600000000000000003065080137175469977945528203624307217844485623359006918726382009537977832173088517652480 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5799999999999999587932295368993670884323827245669166767336096569316986940954915538731008 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -4315507443078343/392318858461667547739736838950479151006397215279002157056 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) x) (/.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 x #s(literal -1600000000000000003065080137175469977945528203624307217844485623359006918726382009537977832173088517652480 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -1600000000000000003065080137175469977945528203624307217844485623359006918726382009537977832173088517652480 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (/.f64 (+.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5799999999999999587932295368993670884323827245669166767336096569316986940954915538731008 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5799999999999999587932295368993670884323827245669166767336096569316986940954915538731008 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (/.f64 #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -4315507443078343/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
| 13 316× | lower-fma.f64 |
| 13 316× | lower-fma.f32 |
| 5 768× | lower-/.f32 |
| 5 766× | lower-/.f64 |
| 5 738× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 344 |
| 1 | 95 | 344 |
| 2 | 176 | 344 |
| 3 | 492 | 344 |
| 4 | 1378 | 344 |
| 5 | 2748 | 344 |
| 6 | 4155 | 344 |
| 7 | 5054 | 344 |
| 8 | 5834 | 344 |
| 9 | 6257 | 344 |
| 10 | 6401 | 344 |
| 11 | 7753 | 344 |
| 0 | 8211 | 338 |
| 0 | 223 | 1782 |
| 1 | 640 | 1748 |
| 2 | 1497 | 1686 |
| 3 | 4781 | 1686 |
| 0 | 8247 | 1590 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 39 | 20 |
| 2 | 251 | 20 |
| 3 | 2914 | 20 |
| 0 | 8839 | 20 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 136 to 77 computations (43.4% saved)
(sort x y)
Compiled 194 to 92 computations (52.6% saved)
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