
Time bar (total: 9.1s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 659.0ms | 8 256× | 0 | valid |
ival-div: 208.0ms (45.1% of total)ival-mult: 95.0ms (20.6% of total)ival-fabs: 55.0ms (11.9% of total)ival-add: 54.0ms (11.7% of total)ival-sub: 35.0ms (7.6% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 1 | (8.472362596718039e-277 -5.622549009496277e+40 -3.540416630395602e+139) | (*.f64 (/.f64 x y) z) |
| 14 | 0 | - | 0 | - | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 4 binary64)) y) |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (/.f64 x y) z) | n*u | 16 | 0 |
-.f64 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | nan-rescue | 14 | 0 |
| ↳ | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | overflow | 33 | |
| ↳ | (/.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 (/.f64 x y) z) | overflow | 50 | |
*.f64 | (*.f64 (/.f64 x y) z) | n*o | 11 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 0 |
| - | 6 | 215 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 0 |
| - | 6 | 0 | 215 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 105 to 34 computations (67.6% saved)
ival-div: 11.0ms (35.1% of total)ival-fabs: 11.0ms (35.1% of total)ival-add: 3.0ms (9.6% of total)ival-mult: 3.0ms (9.6% of total)ival-sub: 2.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 428× | sub-neg |
| 1 328× | lower-fma.f64 |
| 1 328× | lower-fma.f32 |
| 1 280× | div-sub |
| 846× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 121 |
| 1 | 129 | 113 |
| 2 | 277 | 111 |
| 3 | 637 | 111 |
| 4 | 2046 | 111 |
| 5 | 3054 | 111 |
| 6 | 4182 | 111 |
| 7 | 6373 | 111 |
| 8 | 7598 | 111 |
| 9 | 7862 | 111 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 27 | 12 |
| 2 | 52 | 12 |
| 3 | 87 | 12 |
| 4 | 152 | 12 |
| 5 | 256 | 12 |
| 6 | 393 | 12 |
| 7 | 713 | 12 |
| 8 | 1748 | 10 |
| 9 | 2452 | 10 |
| 10 | 2887 | 10 |
| 11 | 2985 | 10 |
| 12 | 2989 | 10 |
| 13 | 2989 | 10 |
| 14 | 2989 | 10 |
| 0 | 2989 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y)) |
(abs y)
Compiled 15 to 10 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.3% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| cost-diff | 832 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 1 328× | lower-fma.f64 |
| 1 328× | lower-fma.f32 |
| 564× | lower-*.f32 |
| 562× | lower-*.f64 |
| 372× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 0 | 16 | 43 |
| 1 | 27 | 43 |
| 2 | 52 | 43 |
| 3 | 87 | 43 |
| 4 | 152 | 43 |
| 5 | 256 | 43 |
| 6 | 393 | 43 |
| 7 | 713 | 43 |
| 8 | 1748 | 39 |
| 9 | 2452 | 39 |
| 10 | 2887 | 39 |
| 11 | 2985 | 39 |
| 12 | 2989 | 39 |
| 13 | 2989 | 39 |
| 14 | 2989 | 39 |
| 0 | 2989 | 37 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
z |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(*.f64 (/.f64 x y) z) |
(/.f64 (*.f64 x z) y) |
(/.f64 x y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| accuracy | 2.855466685830206 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | |
| accuracy | 7.384250898279727 | (*.f64 (/.f64 x y) z) |
| 17.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-div: 3.0ms (33.5% of total)ival-mult: 2.0ms (22.3% of total)ival-sub: 1.0ms (11.2% of total)ival-add: 1.0ms (11.2% of total)ival-fabs: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) (patch (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 4 binary64)) (patch (+.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 4 y) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (/ 1 y))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x z) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | y | @ | inf | (- (/ (+ x 4) y) (* (/ x y) z)) |
| 1.0ms | z | @ | 0 | (* (/ x y) z) |
| 1.0ms | y | @ | 0 | (- (/ (+ x 4) y) (* (/ x y) z)) |
| 1.0ms | x | @ | 0 | (- (/ (+ x 4) y) (* (/ x y) z)) |
| 1.0ms | y | @ | -inf | (- (/ (+ x 4) y) (* (/ x y) z)) |
| 1× | egg-herbie |
| 7 916× | lower-fma.f64 |
| 7 916× | lower-fma.f32 |
| 3 504× | lower-*.f64 |
| 3 504× | lower-*.f32 |
| 1 740× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1300 |
| 1 | 191 | 1300 |
| 2 | 460 | 1164 |
| 3 | 1273 | 988 |
| 4 | 3604 | 988 |
| 5 | 7501 | 988 |
| 0 | 8415 | 922 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(* x (- (/ 1 y) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(/ 4 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
4 |
(+ 4 x) |
(+ 4 x) |
(+ 4 x) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
| Outputs |
|---|
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (/ 1 y) (/ z y))) |
(/.f64 (-.f64 x (*.f64 x z)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 x z)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
4 |
#s(literal 4 binary64) |
(+ 4 x) |
(+.f64 #s(literal 4 binary64) x) |
(+ 4 x) |
(+.f64 #s(literal 4 binary64) x) |
(+ 4 x) |
(+.f64 #s(literal 4 binary64) x) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(+.f64 #s(literal 4 binary64) x) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
| 6 220× | lower-fma.f64 |
| 6 220× | lower-fma.f32 |
| 4 542× | lower-*.f32 |
| 4 540× | lower-*.f64 |
| 3 830× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 69 | 32 |
| 2 | 573 | 32 |
| 0 | 8708 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
(*.f64 (/.f64 x y) z) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(+.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 x z) y)) |
(-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (/.f64 (-.f64 #s(literal -4 binary64) x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))) (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)))) |
(-.f64 (/.f64 y (*.f64 y (/.f64 y (+.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 y (*.f64 x z)) (+.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 y (+.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 x z)) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (neg.f64 (*.f64 y y))) (/.f64 (neg.f64 (*.f64 y (*.f64 x z))) (neg.f64 (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) #s(literal 0 binary64)) (/.f64 (*.f64 x z) y)) |
(fma.f64 x (neg.f64 (/.f64 z y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 z (/.f64 x (neg.f64 y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x))))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x))) y)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))))) |
(fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 x)) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (neg.f64 x)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -4 binary64)))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -4 binary64)) y)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (fma.f64 x x #s(literal -16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 x (neg.f64 y)) z (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) x) y) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x)))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -16 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal 64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x)))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y)) x (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x)))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 z (neg.f64 x)) y)) |
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(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal -4 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) y)) |
(/.f64 z (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x z) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x z)))) |
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 z) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 x))) y) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 y (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (*.f64 x z) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (/.f64 x y) z) |
(*.f64 (/.f64 x y) (neg.f64 (neg.f64 z))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 z)) |
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (neg.f64 x)) y)) |
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 z) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 z y)) |
(*.f64 (neg.f64 (neg.f64 z)) (/.f64 x y)) |
(*.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 12 814 to 1 619 computations (87.4% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 12 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 542 | 12 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 93.2% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) | |
| 93.2% | (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) | |
| ▶ | 97.7% | (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
| 61.1% | (fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 y x)) (*.f64 y z)) (*.f64 y (/.f64 y x)))) | |
| ▶ | 97.7% | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
| 87.7% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| 79.8% | (fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| ▶ | 97.6% | (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
| 63.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x (*.f64 x z)) y))) | |
| 66.0% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) | |
| ▶ | 44.8% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
| ▶ | 38.5% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
Compiled 328 to 218 computations (33.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) | |
| cost-diff | 128 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) | |
| cost-diff | 128 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 (*.f64 x z) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal -4 binary64) x) | |
| cost-diff | 0 | (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
| 1 376× | lower-fma.f32 |
| 1 374× | lower-fma.f64 |
| 624× | lower-*.f32 |
| 620× | lower-*.f64 |
| 520× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 215 |
| 0 | 49 | 209 |
| 1 | 96 | 209 |
| 2 | 182 | 197 |
| 3 | 378 | 197 |
| 4 | 781 | 197 |
| 5 | 1318 | 197 |
| 6 | 2215 | 197 |
| 7 | 2624 | 197 |
| 8 | 2837 | 197 |
| 9 | 2932 | 197 |
| 10 | 2998 | 197 |
| 11 | 3012 | 197 |
| 12 | 3020 | 197 |
| 0 | 3020 | 188 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
x |
z |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
#s(literal 1 binary64) |
(/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(-.f64 (fma.f64 x z #s(literal -4 binary64)) x) |
x |
z |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(-.f64 x (fma.f64 x z #s(literal -4 binary64))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
#s(literal 1 binary64) |
(/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(-.f64 x (fma.f64 x z #s(literal -4 binary64))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) | |
| accuracy | 1.4585901321341623 | (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| accuracy | 0 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0 | (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) | |
| accuracy | 1.5307054113385332 | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) | |
| accuracy | 4.0508485372899585 | (/.f64 (*.f64 x z) (neg.f64 y)) | |
| accuracy | 35.33942566314961 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) | |
| accuracy | 40.14835364309895 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 0 | (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal -4 binary64) x) | |
| accuracy | 0 | (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) | |
| accuracy | 1.4642991613385332 | (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
| 59.0ms | 256× | 0 | valid |
Compiled 198 to 30 computations (84.8% saved)
ival-div: 24.0ms (57.6% of total)ival-mult: 5.0ms (12% of total)ival-fabs: 4.0ms (9.6% of total)ival-add: 3.0ms (7.2% of total)ival-sub: 3.0ms (7.2% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -4 binary64) x) (patch (-.f64 #s(literal -4 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x z) (neg.f64 y)) (patch (/.f64 (*.f64 x z) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (patch (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (patch (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (fabs (/ (- (+ 4 x) (* x z)) y)) (taylor -inf z) (#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- (+ 4 x) (* x z))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor 0 x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y (* x (- 1 z))) (taylor inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ y (* x (pow (- 1 z) 2)))) (/ y (- 1 z))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (/ y (- 1 z))) (* 4 (/ y (* x (pow (- 1 z) 2))))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -64 (/ y (* (pow x 3) (pow (- 1 z) 4)))) (/ y (- 1 z))) (+ (* -16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (* 4 (/ y (* x (pow (- 1 z) 2)))))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 (* -1 z)))) (taylor -inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* -1 (/ (- (* 64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4 x)) (taylor 0 z) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* z (- (* z (- (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4)) (* -1 (/ (* (pow x 2) y) (pow (+ 4 x) 3))))) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3))))) (+ (/ (* y (+ 4 x)) (* (pow x 2) z)) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) z) (taylor inf z) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z)) (* -1 (/ (* y (pow (+ 4 x) 2)) (pow x 3)))) z)) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) (taylor -inf z) (#s(alt (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | inf | (/ y (+ x (- 4 (* x z)))) |
| 3.0ms | z | @ | -inf | (* (/ 1 y) (+ x (- 4 (* x z)))) |
| 1.0ms | x | @ | 0 | (/ y (+ x (- 4 (* x z)))) |
| 0.0ms | x | @ | -inf | (/ y (+ x (- 4 (* x z)))) |
| 0.0ms | y | @ | 0 | (/ y (+ x (- 4 (* x z)))) |
| 1× | egg-herbie |
| 11 398× | lower-fma.f64 |
| 11 398× | lower-fma.f32 |
| 6 162× | lower-*.f64 |
| 6 162× | lower-*.f32 |
| 2 718× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5619 |
| 1 | 1009 | 5116 |
| 2 | 3019 | 5045 |
| 0 | 8181 | 4703 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(/ -4 y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/ (* x (- z 1)) y) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) y)) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (/ (+ 4 x) y)) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
-4 |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(* x (- z 1)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(* -1 (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(* x z) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
-4 |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(* -1 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(* x (- (/ 1 y) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(* x (- (/ 1 y) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/ (* x (- 1 z)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/ (* x (+ 1 (* -1 z))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/ (+ 4 x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
4 |
(+ 4 (* x (- 1 z))) |
(+ 4 (* x (- 1 z))) |
(+ 4 (* x (- 1 z))) |
(* x (- 1 z)) |
(* x (- (+ 1 (* 4 (/ 1 x))) z)) |
(* x (- (+ 1 (* 4 (/ 1 x))) z)) |
(* x (- (+ 1 (* 4 (/ 1 x))) z)) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))) |
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))) |
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))) |
(+ 4 x) |
(+ 4 (+ x (* -1 (* x z)))) |
(+ 4 (+ x (* -1 (* x z)))) |
(+ 4 (+ x (* -1 (* x z)))) |
(* -1 (* x z)) |
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x)) |
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x)) |
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x)) |
(* -1 (* x z)) |
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x)))) |
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x)))) |
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x)))) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/ (* x (- 1 z)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/ (* x (+ 1 (* -1 z))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/ (+ 4 x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(/ y (- (+ 4 x) (* x z))) |
(* 1/4 y) |
(+ (* -1/16 (* x (* y (- 1 z)))) (* 1/4 y)) |
(+ (* 1/4 y) (* x (- (* 1/64 (* x (* y (pow (- 1 z) 2)))) (* 1/16 (* y (- 1 z)))))) |
(+ (* 1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- 1 z) 3)))) (* -1/64 (* y (pow (- 1 z) 2))))) (* 1/16 (* y (- 1 z)))))) |
(/ y (* x (- 1 z))) |
(/ (+ (* -4 (/ y (* x (pow (- 1 z) 2)))) (/ y (- 1 z))) x) |
(/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (/ y (- 1 z))) (* 4 (/ y (* x (pow (- 1 z) 2))))) x) |
(/ (- (+ (* -64 (/ y (* (pow x 3) (pow (- 1 z) 4)))) (/ y (- 1 z))) (+ (* -16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (* 4 (/ y (* x (pow (- 1 z) 2)))))) x) |
(/ y (* x (+ 1 (* -1 z)))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* 4 (/ y (* x (pow (+ 1 (* -1 z)) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* 16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* -1 (/ (- (* 64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/ y (+ 4 x)) |
(+ (/ y (+ 4 x)) (/ (* x (* y z)) (pow (+ 4 x) 2))) |
(+ (* z (- (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3)) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(+ (* z (- (* z (- (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4)) (* -1 (/ (* (pow x 2) y) (pow (+ 4 x) 3))))) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(* -1 (/ y (* x z))) |
(/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) (/ (* y (+ 4 x)) (* (pow x 2) z))) z) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3))))) (+ (/ (* y (+ 4 x)) (* (pow x 2) z)) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) z) |
(* -1 (/ y (* x z))) |
(* -1 (/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z))) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z)) (* -1 (/ (* y (pow (+ 4 x) 2)) (pow x 3)))) z)) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
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(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
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(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (* x (- z 1)) y) |
(/.f64 (-.f64 (*.f64 x z) x) y) |
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(*.f64 x (+.f64 (/.f64 (+.f64 z #s(literal -1 binary64)) y) (/.f64 #s(literal -4 binary64) (*.f64 x y)))) |
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(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
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(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
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(/ (* x z) y) |
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(/ (* x z) y) |
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(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
-4 |
#s(literal -4 binary64) |
(- (* x (- z 1)) 4) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(- (* x (- z 1)) 4) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(- (* x (- z 1)) 4) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(* x (- z 1)) |
(-.f64 (*.f64 x z) x) |
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(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
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(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
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(-.f64 (*.f64 x z) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
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(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
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(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(* -1 (+ 4 x)) |
(-.f64 #s(literal -4 binary64) x) |
(- (* x z) (+ 4 x)) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(* x z) |
(*.f64 x z) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(*.f64 z (-.f64 x (/.f64 (+.f64 x #s(literal 4 binary64)) z))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
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(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(*.f64 z (-.f64 x (/.f64 (+.f64 x #s(literal 4 binary64)) z))) |
(* x z) |
(*.f64 x z) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(neg.f64 (*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 (/.f64 x z) x)))) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
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(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(neg.f64 (*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 (/.f64 x z) x)))) |
-4 |
#s(literal -4 binary64) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(-.f64 #s(literal -4 binary64) x) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
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(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
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(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
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(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
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(* x (- (/ 1 y) (/ z y))) |
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(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
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(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (+ 4 x) (* x z)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/ y (- (+ 4 x) (* x z))) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(* 1/4 y) |
(*.f64 y #s(literal 1/4 binary64)) |
(+ (* -1/16 (* x (* y (- 1 z)))) (* 1/4 y)) |
(fma.f64 #s(literal -1/16 binary64) (*.f64 x (fma.f64 z (neg.f64 y) y)) (*.f64 y #s(literal 1/4 binary64))) |
(+ (* 1/4 y) (* x (- (* 1/64 (* x (* y (pow (- 1 z) 2)))) (* 1/16 (* y (- 1 z)))))) |
(fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/16 binary64)) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 y #s(literal 1/4 binary64))) |
(+ (* 1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- 1 z) 3)))) (* -1/64 (* y (pow (- 1 z) 2))))) (* 1/16 (* y (- 1 z)))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -1/256 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 1/64 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/16 binary64)))) (*.f64 y #s(literal 1/4 binary64))) |
(/ y (* x (- 1 z))) |
(/.f64 y (-.f64 x (*.f64 x z))) |
(/ (+ (* -4 (/ y (* x (pow (- 1 z) 2)))) (/ y (- 1 z))) x) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 (*.f64 x z) x) (-.f64 #s(literal 1 binary64) z))) (/.f64 y (-.f64 #s(literal 1 binary64) z))) x) |
(/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (/ y (- 1 z))) (* 4 (/ y (* x (pow (- 1 z) 2))))) x) |
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 (*.f64 x z) x) (-.f64 #s(literal 1 binary64) z))) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) x) |
(/ (- (+ (* -64 (/ y (* (pow x 3) (pow (- 1 z) 4)))) (/ y (- 1 z))) (+ (* -16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (* 4 (/ y (* x (pow (- 1 z) 2)))))) x) |
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 (*.f64 x z) x) (-.f64 #s(literal 1 binary64) z))) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) x) |
(/ y (* x (+ 1 (* -1 z)))) |
(/.f64 y (-.f64 x (*.f64 x z))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* 4 (/ y (* x (pow (+ 1 (* -1 z)) 2))))) x)) |
(neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x (*.f64 x z))))) (/.f64 y (-.f64 x (*.f64 x z))))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* 16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 (*.f64 x z) x) (-.f64 #s(literal 1 binary64) z))) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) x) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* -1 (/ (- (* 64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 y #s(literal 64 binary64)) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) x)) x)) x) |
(/ y (+ 4 x)) |
(/.f64 y (+.f64 x #s(literal 4 binary64))) |
(+ (/ y (+ 4 x)) (/ (* x (* y z)) (pow (+ 4 x) 2))) |
(fma.f64 x (/.f64 (*.f64 z y) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (/.f64 y (+.f64 x #s(literal 4 binary64)))) |
(+ (* z (- (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3)) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(fma.f64 z (*.f64 x (fma.f64 x (/.f64 (*.f64 z y) (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))) (/.f64 y (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))))) (/.f64 y (+.f64 x #s(literal 4 binary64)))) |
(+ (* z (- (* z (- (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4)) (* -1 (/ (* (pow x 2) y) (pow (+ 4 x) 3))))) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(fma.f64 z (fma.f64 z (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z y) (pow.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 y (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))))) (/.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))) (/.f64 y (+.f64 x #s(literal 4 binary64)))) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 x (neg.f64 z))) |
(/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z) |
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 z (*.f64 x (*.f64 x z)))) (/.f64 y (*.f64 x z))) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) (/ (* y (+ 4 x)) (* (pow x 2) z))) z) |
(/.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x (*.f64 x z)))) (/.f64 y (neg.f64 x))) z) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3))))) (+ (/ (* y (+ 4 x)) (* (pow x 2) z)) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) z) |
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -4 binary64) x))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x z))))) (/.f64 y (neg.f64 x))) z) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 x (neg.f64 z))) |
(* -1 (/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)) |
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 z (*.f64 x (*.f64 x z)))) (/.f64 y (*.f64 x z))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z))) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(/.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x (*.f64 x z)))) (/.f64 y (neg.f64 x))) z) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z)) (* -1 (/ (* y (pow (+ 4 x) 2)) (pow x 3)))) z)) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 x x)) (/.f64 (*.f64 y (fma.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x x))))) z)) z) (/.f64 y x)) z) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 4 642× | lower-/.f32 |
| 4 630× | lower-/.f64 |
| 4 512× | lower-*.f32 |
| 4 508× | lower-*.f64 |
| 2 606× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 173 |
| 0 | 49 | 171 |
| 1 | 216 | 155 |
| 2 | 1787 | 155 |
| 0 | 8503 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(neg.f64 y) |
| Outputs |
|---|
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y)) |
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (neg.f64 y))) |
(fabs.f64 (*.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(fabs.f64 (*.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) (neg.f64 y))) |
(fabs.f64 (-.f64 (/.f64 x y) (/.f64 (fma.f64 x z #s(literal -4 binary64)) y))) |
(fabs.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 (fma.f64 x z #s(literal -4 binary64)) x))))) |
(/.f64 (fabs.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)) y) |
(/.f64 (fabs.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))))) (fabs.f64 (*.f64 y (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (*.f64 (*.f64 x z) (*.f64 x z)))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x))) (fabs.f64 (*.f64 y (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x)))) |
(/.f64 (neg.f64 (fabs.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x))) (neg.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) #s(literal 1 binary64))) y) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (*.f64 (*.f64 x z) (*.f64 x z))) y))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z)))) #s(literal -1 binary64))) (fabs.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (*.f64 (*.f64 x z) (*.f64 x z))) (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x) y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x)) #s(literal -1 binary64))) (fabs.f64 (*.f64 (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x) (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) #s(literal -1 binary64))) y) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (*.f64 (*.f64 x z) (*.f64 x z))))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x)) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (+.f64 (-.f64 (*.f64 x z) #s(literal -4 binary64)) x))) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)) #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)))) y) |
(pow.f64 (fabs.f64 (/.f64 y (-.f64 (fma.f64 x z #s(literal -4 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fabs.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x))) |
(*.f64 (fabs.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fabs.f64 (*.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z #s(literal -4 binary64)) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (fma.f64 x z #s(literal -4 binary64)) y) (/.f64 x y)) |
(-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 x (*.f64 x z)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 (fma.f64 x z #s(literal -4 binary64)) x) (neg.f64 y))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (/.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 y (fabs.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(/.f64 y (neg.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 y (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(/.f64 y (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 (neg.f64 y) (neg.f64 (fabs.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 y))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 y))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (neg.f64 y))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y)) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y))) |
(pow.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(*.f64 y (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) #s(literal -1 binary64))) |
(*.f64 y (fabs.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64)))) |
(*.f64 y (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(*.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (*.f64 x (*.f64 x x)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) x) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) x) (*.f64 x x))) |
(*.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) x) (*.f64 x x))))) |
(*.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(*.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x))) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z)))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x z) y) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (*.f64 x (*.f64 x x))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) x) (*.f64 x x)))) |
(*.f64 (fabs.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (fabs.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (*.f64 x (*.f64 x x)))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) x) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
Compiled 59 825 to 3 398 computations (94.3% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 637 | 14 | 2 651 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 646 | 17 | 2 663 |
| Status | Accuracy | Program |
|---|---|---|
| 63.8% | (fma.f64 (/.f64 z (neg.f64 y)) x (/.f64 (+.f64 x #s(literal 4 binary64)) y)) | |
| ▶ | 69.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
| ▶ | 93.2% | (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
| 63.7% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) | |
| 78.9% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) | |
| ▶ | 66.0% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| 44.8% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) | |
| 63.7% | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ x (- 4 (* x z))) (-.f64 x (*.f64 x z)))))) | |
| 74.5% | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) | |
| ▶ | 97.6% | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) |
| 36.1% | (fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (+ x (- 4 (* x z)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x (fma.f64 z (neg.f64 y) y)) (*.f64 y #s(literal 1/4 binary64)))))) | |
| 87.7% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| 65.9% | (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (+.f64 x #s(literal 4 binary64))))) | |
| 46.3% | (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| ✓ | 38.5% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| ▶ | 44.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
| 44.8% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z)))) |
Compiled 464 to 296 computations (36.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) y) z) | |
| cost-diff | 832 | (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 4 binary64) (*.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 128 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| cost-diff | 0 | (/.f64 z (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal -4 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) | |
| cost-diff | 128 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) |
| 1 424× | lower-fma.f32 |
| 1 422× | lower-fma.f64 |
| 684× | lower-*.f32 |
| 674× | lower-*.f64 |
| 588× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 243 |
| 0 | 61 | 246 |
| 1 | 117 | 224 |
| 2 | 222 | 220 |
| 3 | 504 | 220 |
| 4 | 952 | 220 |
| 5 | 1537 | 220 |
| 6 | 2174 | 220 |
| 7 | 2625 | 220 |
| 8 | 2719 | 220 |
| 9 | 2801 | 220 |
| 10 | 2888 | 220 |
| 11 | 2894 | 220 |
| 12 | 2900 | 220 |
| 13 | 2900 | 220 |
| 0 | 2900 | 206 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
y |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 z (neg.f64 y)) |
z |
(neg.f64 y) |
y |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
(fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) |
(/.f64 y (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 x z #s(literal -4 binary64)))) |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(-.f64 x (fma.f64 x z #s(literal -4 binary64))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
y |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y))) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(/.f64 z (neg.f64 y)) |
(neg.f64 (/.f64 z y)) |
z |
(neg.f64 y) |
y |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(-.f64 x (fma.f64 x z #s(literal -4 binary64))) |
x |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
#s(literal 4 binary64) |
(*.f64 x z) |
z |
(fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(neg.f64 (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal -1 binary64) y) z) | |
| accuracy | 4.509383164433311 | (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) | |
| accuracy | 0 | (-.f64 #s(literal 4 binary64) (*.f64 x z)) | |
| accuracy | 0 | (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 1.5307054113385332 | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) | |
| accuracy | 3.903684577966289 | (*.f64 (/.f64 z (neg.f64 y)) x) | |
| accuracy | 35.33942566314961 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) | |
| accuracy | 0 | (-.f64 #s(literal -4 binary64) x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) | |
| accuracy | 1.4642991613385332 | (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) | |
| accuracy | 26.73449112624966 | #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) | |
| accuracy | 0.5616961102377922 | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) | |
| accuracy | 1.2283543961756354 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) |
| 73.0ms | 256× | 0 | valid |
Compiled 221 to 36 computations (83.7% saved)
ival-mult: 20.0ms (40.6% of total)ival-div: 13.0ms (26.4% of total)ival-fabs: 5.0ms (10.2% of total)ival-sub: 5.0ms (10.2% of total)ival-add: 4.0ms (8.1% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (patch (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) (patch #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -4 binary64) x) (patch (-.f64 #s(literal -4 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (neg.f64 y)) x) (patch (*.f64 (/.f64 z (neg.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 z (neg.f64 y)) (patch (/.f64 z (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 4 binary64) (*.f64 x z)) (patch (-.f64 #s(literal 4 binary64) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (patch (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) z) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (patch (fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 4 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 (* -1 z))) y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (/ 1 (- 1 z)) (/ 16 (* (pow x 2) (pow (- 1 z) 3)))) (/ 4 (* x (pow (- 1 z) 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 16 (/ 1 (* (pow x 2) (pow (- 1 z) 3)))) (/ 1 (- 1 z))) (+ (* 64 (/ 1 (* (pow x 3) (pow (- 1 z) 4)))) (/ 4 (* x (pow (- 1 z) 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ 1 (* -1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x (pow (+ 1 (* -1 z)) 2)))) (/ 1 (+ 1 (* -1 z)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ 1 (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 4 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 4 x)) (/ (* x z) (pow (+ 4 x) 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* (pow x 2) z) (pow (+ 4 x) 3)) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* (pow x 3) z) (pow (+ 4 x) 4)) (* -1 (/ (pow x 2) (pow (+ 4 x) 3))))) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (/ 1 x)) z)) (/ 1 x)) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z))))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) (pow z 3)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ 4 (* (pow x 2) z)) (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2))))))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z)))) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x z))) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) z)) (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) x))) z)) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 y) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 x) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/ 1 (+ x (- 4 (* x z)))) |
| 0.0ms | z | @ | 0 | (/ z (neg y)) |
| 0.0ms | x | @ | inf | (/ 1 (+ x (- 4 (* x z)))) |
| 0.0ms | z | @ | 0 | (/ 1 (+ x (- 4 (* x z)))) |
| 0.0ms | x | @ | -inf | (/ 1 (+ x (- 4 (* x z)))) |
| 1× | egg-herbie |
| 5 916× | lower-fma.f64 |
| 5 916× | lower-fma.f32 |
| 4 910× | lower-*.f64 |
| 4 910× | lower-*.f32 |
| 2 666× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 6277 |
| 1 | 1519 | 5770 |
| 2 | 4500 | 5696 |
| 0 | 8297 | 5383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/ (* x (- 1 z)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/ (* x (+ 1 (* -1 z))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/ (+ 4 x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* 1/4 y) |
(+ (* -1/16 (* x (* y (- 1 z)))) (* 1/4 y)) |
(+ (* 1/4 y) (* x (- (* 1/64 (* x (* y (pow (- 1 z) 2)))) (* 1/16 (* y (- 1 z)))))) |
(+ (* 1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- 1 z) 3)))) (* -1/64 (* y (pow (- 1 z) 2))))) (* 1/16 (* y (- 1 z)))))) |
(/ y (* x (- 1 z))) |
(/ (+ (* -4 (/ y (* x (pow (- 1 z) 2)))) (/ y (- 1 z))) x) |
(/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (/ y (- 1 z))) (* 4 (/ y (* x (pow (- 1 z) 2))))) x) |
(/ (- (+ (* -64 (/ y (* (pow x 3) (pow (- 1 z) 4)))) (/ y (- 1 z))) (+ (* -16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (* 4 (/ y (* x (pow (- 1 z) 2)))))) x) |
(/ y (* x (+ 1 (* -1 z)))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* 4 (/ y (* x (pow (+ 1 (* -1 z)) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* 16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* -1 (/ (- (* 64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/ y (+ 4 x)) |
(+ (/ y (+ 4 x)) (/ (* x (* y z)) (pow (+ 4 x) 2))) |
(+ (* z (- (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3)) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(+ (* z (- (* z (- (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4)) (* -1 (/ (* (pow x 2) y) (pow (+ 4 x) 3))))) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(* -1 (/ y (* x z))) |
(/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) (/ (* y (+ 4 x)) (* (pow x 2) z))) z) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3))))) (+ (/ (* y (+ 4 x)) (* (pow x 2) z)) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) z) |
(* -1 (/ y (* x z))) |
(* -1 (/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z))) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z)) (* -1 (/ (* y (pow (+ 4 x) 2)) (pow x 3)))) z)) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
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4 |
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(+ 4 (+ x (* -1 (* x z)))) |
(* -1 (* x z)) |
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(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x)) |
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x)) |
(* -1 (* x z)) |
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x)))) |
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x)))) |
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(fabs (/ (- (+ 4 x) (* x z)) y)) |
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(fabs (/ (- (+ 4 x) (* x z)) y)) |
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(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
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(/ (* x z) y) |
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(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z)))))) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
-4 |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(* x (- z 1)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
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(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
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(* -1 (+ 4 x)) |
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(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(* x z) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z))))) |
-4 |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(* -1 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
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(* -1 (/ (* x z) y)) |
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(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/ (* x (- 1 z)) y) |
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(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/ (* x (+ 1 (* -1 z))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/ (+ 4 x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
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(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
4 |
(+ 4 (* -1 (* x z))) |
(+ 4 (* -1 (* x z))) |
(+ 4 (* -1 (* x z))) |
(* -1 (* x z)) |
(* x (- (* 4 (/ 1 x)) z)) |
(* x (- (* 4 (/ 1 x)) z)) |
(* x (- (* 4 (/ 1 x)) z)) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (* 4 (/ 1 x)))) |
(* x (+ (* -1 z) (* 4 (/ 1 x)))) |
(* x (+ (* -1 z) (* 4 (/ 1 x)))) |
4 |
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(+ 4 (* -1 (* x z))) |
(+ 4 (* -1 (* x z))) |
(* -1 (* x z)) |
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(* z (- (* 4 (/ 1 z)) x)) |
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(* -1 (* x z)) |
(* z (+ (* -1 x) (* 4 (/ 1 z)))) |
(* z (+ (* -1 x) (* 4 (/ 1 z)))) |
(* z (+ (* -1 x) (* 4 (/ 1 z)))) |
(/ 4 y) |
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(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ z y) (/ 1 y)))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
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(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
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(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
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(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
1/4 |
(+ 1/4 (* -1/16 (* x (- 1 z)))) |
(+ 1/4 (* x (- (* 1/64 (* x (pow (- 1 z) 2))) (* 1/16 (- 1 z))))) |
(+ 1/4 (* x (- (* x (- (* -1/256 (* x (pow (- 1 z) 3))) (* -1/64 (pow (- 1 z) 2)))) (* 1/16 (- 1 z))))) |
(/ 1 (* x (- 1 z))) |
(/ (- (/ 1 (- 1 z)) (* 4 (/ 1 (* x (pow (- 1 z) 2))))) x) |
(/ (- (+ (/ 1 (- 1 z)) (/ 16 (* (pow x 2) (pow (- 1 z) 3)))) (/ 4 (* x (pow (- 1 z) 2)))) x) |
(/ (- (+ (* 16 (/ 1 (* (pow x 2) (pow (- 1 z) 3)))) (/ 1 (- 1 z))) (+ (* 64 (/ 1 (* (pow x 3) (pow (- 1 z) 4)))) (/ 4 (* x (pow (- 1 z) 2))))) x) |
(/ 1 (* x (+ 1 (* -1 z)))) |
(* -1 (/ (- (* 4 (/ 1 (* x (pow (+ 1 (* -1 z)) 2)))) (/ 1 (+ 1 (* -1 z)))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ 1 (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) |
(/ 1 (+ 4 x)) |
(+ (/ 1 (+ 4 x)) (/ (* x z) (pow (+ 4 x) 2))) |
(+ (* z (- (/ (* (pow x 2) z) (pow (+ 4 x) 3)) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) |
(+ (* z (- (* z (- (/ (* (pow x 3) z) (pow (+ 4 x) 4)) (* -1 (/ (pow x 2) (pow (+ 4 x) 3))))) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) |
(/ -1 (* x z)) |
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (/ 1 x)) z)) (/ 1 x)) z) |
(/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z))))) z) |
(/ (- (* -1 (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) (pow z 3)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ 4 (* (pow x 2) z)) (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2))))))) z) |
(/ -1 (* x z)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x z))) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) z)) (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) x))) z)) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ 4 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
| Outputs |
|---|
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (-.f64 x (*.f64 x z)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/ (* x (+ 1 (* -1 z))) y) |
(/.f64 (-.f64 x (*.f64 x z)) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y z)) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x y)))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y z)) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x y)))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y z)) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x y)))) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 y z)) (/.f64 x y))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 y z)) (/.f64 x y))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 y z)) (/.f64 x y))) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* 1/4 y) |
(*.f64 y #s(literal 1/4 binary64)) |
(+ (* -1/16 (* x (* y (- 1 z)))) (* 1/4 y)) |
(fma.f64 x (*.f64 y (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64))) (*.f64 y #s(literal 1/4 binary64))) |
(+ (* 1/4 y) (* x (- (* 1/64 (* x (* y (pow (- 1 z) 2)))) (* 1/16 (* y (- 1 z)))))) |
(fma.f64 x (fma.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)))) (*.f64 y #s(literal 1/4 binary64))) |
(+ (* 1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- 1 z) 3)))) (* -1/64 (* y (pow (- 1 z) 2))))) (* 1/16 (* y (- 1 z)))))) |
(fma.f64 y #s(literal 1/4 binary64) (*.f64 x (fma.f64 x (fma.f64 y (*.f64 (*.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -1/256 binary64)))) (*.f64 y (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)))))) |
(/ y (* x (- 1 z))) |
(/.f64 y (-.f64 x (*.f64 x z))) |
(/ (+ (* -4 (/ y (* x (pow (- 1 z) 2)))) (/ y (- 1 z))) x) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))) (/.f64 y (-.f64 #s(literal 1 binary64) z))) x) |
(/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (/ y (- 1 z))) (* 4 (/ y (* x (pow (- 1 z) 2))))) x) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))) (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x))) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) x) |
(/ (- (+ (* -64 (/ y (* (pow x 3) (pow (- 1 z) 4)))) (/ y (- 1 z))) (+ (* -16 (/ y (* (pow x 2) (pow (- 1 z) 3)))) (* 4 (/ y (* x (pow (- 1 z) 2)))))) x) |
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))) (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x))) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) x) |
(/ y (* x (+ 1 (* -1 z)))) |
(/.f64 y (-.f64 x (*.f64 x z))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* 4 (/ y (* x (pow (+ 1 (* -1 z)) 2))))) x)) |
(neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x (*.f64 x z))))) (/.f64 y (-.f64 x (*.f64 x z))))) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* 16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))) (fma.f64 #s(literal 16 binary64) (/.f64 y (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x))) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) x) |
(* -1 (/ (+ (* -1 (/ y (+ 1 (* -1 z)))) (* -1 (/ (- (* -1 (/ (- (* 64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ y (pow (+ 1 (* -1 z)) 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 64 binary64) (/.f64 y (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))))) x)) x)) x) |
(/ y (+ 4 x)) |
(/.f64 y (+.f64 #s(literal 4 binary64) x)) |
(+ (/ y (+ 4 x)) (/ (* x (* y z)) (pow (+ 4 x) 2))) |
(fma.f64 x (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x))) (/.f64 y (+.f64 #s(literal 4 binary64) x))) |
(+ (* z (- (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3)) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(fma.f64 z (fma.f64 (*.f64 y z) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 y (+.f64 #s(literal 4 binary64) x))) |
(+ (* z (- (* z (- (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4)) (* -1 (/ (* (pow x 2) y) (pow (+ 4 x) 3))))) (* -1 (/ (* x y) (pow (+ 4 x) 2))))) (/ y (+ 4 x))) |
(fma.f64 z (fma.f64 z (fma.f64 y (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x z)))) (pow.f64 (+.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)))) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 y (+.f64 #s(literal 4 binary64) x))) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 x (neg.f64 z))) |
(/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z) |
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 z (*.f64 x (*.f64 x z)))) (/.f64 y (*.f64 x z))) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) (/ (* y (+ 4 x)) (* (pow x 2) z))) z) |
(/.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 z z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 x z)))) (/.f64 y x)) (neg.f64 z)) |
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3))))) (+ (/ (* y (+ 4 x)) (* (pow x 2) z)) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2))))) z) |
(/.f64 (fma.f64 y (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (-.f64 #s(literal -4 binary64) x))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 z z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 x z)))) (/.f64 y x)))) z) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 x (neg.f64 z))) |
(* -1 (/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)) |
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 z (*.f64 x (*.f64 x z)))) (/.f64 y (*.f64 x z))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z))) (/ (* y (+ 4 x)) (pow x 2))) z)) (/ y x)) z)) |
(/.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 z z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 x z)))) (/.f64 y x)) (neg.f64 z)) |
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(/ (- (+ (/ 1 (- 1 z)) (/ 16 (* (pow x 2) (pow (- 1 z) 3)))) (/ 4 (* x (pow (- 1 z) 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))))) x) |
(/ (- (+ (* 16 (/ 1 (* (pow x 2) (pow (- 1 z) 3)))) (/ 1 (- 1 z))) (+ (* 64 (/ 1 (* (pow x 3) (pow (- 1 z) 4)))) (/ 4 (* x (pow (- 1 z) 2))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x)))) (-.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x (*.f64 x z)))))) x) |
(/ 1 (* x (+ 1 (* -1 z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z))) |
(* -1 (/ (- (* 4 (/ 1 (* x (pow (+ 1 (* -1 z)) 2)))) (/ 1 (+ 1 (* -1 z)))) x)) |
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z)))) |
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow (+ 1 (* -1 z)) 3)))) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x z (neg.f64 x)))))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 (* x (pow (+ 1 (* -1 z)) 4)))) (* 16 (/ 1 (pow (+ 1 (* -1 z)) 3)))) x)) (* 4 (/ 1 (pow (+ 1 (* -1 z)) 2)))) x)) (/ 1 (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (/.f64 #s(literal -16 binary64) (*.f64 (-.f64 x (*.f64 x z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) x) |
(/ 1 (+ 4 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x)) |
(+ (/ 1 (+ 4 x)) (/ (* x z) (pow (+ 4 x) 2))) |
(fma.f64 x (/.f64 z (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x))) |
(+ (* z (- (/ (* (pow x 2) z) (pow (+ 4 x) 3)) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) |
(fma.f64 z (fma.f64 x (*.f64 x (/.f64 z (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x))))) (/.f64 x (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x))) |
(+ (* z (- (* z (- (/ (* (pow x 3) z) (pow (+ 4 x) 4)) (* -1 (/ (pow x 2) (pow (+ 4 x) 3))))) (* -1 (/ x (pow (+ 4 x) 2))))) (/ 1 (+ 4 x))) |
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 z (pow.f64 (+.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x))))) (/.f64 x (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x))) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 x z)) |
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (/ 1 x)) z)) (/ 1 x)) z) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 x z))) |
(/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z))))) z) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x z))))) z) |
(/ (- (* -1 (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) (pow z 3)))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ 4 (* (pow x 2) z)) (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x (pow z 2))))))) z) |
(/.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)) (*.f64 x (*.f64 x (*.f64 z (*.f64 z z))))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x z)))) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 z z))) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x z))))) z) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 x z)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x z)) (/ 4 (* (pow x 2) z)))) z)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x z))))) z) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* x z))) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x z)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) z) (/.f64 #s(literal -1 binary64) x)) z) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 4 x) 2) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) (* (pow x 2) z)) (* -1 (/ (* (+ 4 x) (+ (/ 1 x) (* 4 (/ 1 (pow x 2))))) x))) z)) (+ (* 4 (/ 1 (pow x 2))) (/ 1 x))) z)) (/ 1 x)) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x z))))) z)) z) (/.f64 #s(literal -1 binary64) x)) z) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
| 4 640× | lower-/.f32 |
| 4 626× | lower-/.f64 |
| 4 358× | lower-*.f32 |
| 4 348× | lower-*.f64 |
| 2 666× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 204 |
| 0 | 61 | 205 |
| 1 | 245 | 179 |
| 2 | 1910 | 179 |
| 0 | 8302 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y) |
(+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x)) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 z (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 4 binary64) (*.f64 x z)) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(neg.f64 y) |
(*.f64 x z) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
| Outputs |
|---|
(+.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (neg.f64 (/.f64 (*.f64 x z) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x z) y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x))) #s(literal -1 binary64)))) |
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x)) y)) |
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x)) (neg.f64 y))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 x z) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))) (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))))) |
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)))))) |
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x)) y) #s(literal 0 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 x z) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x z) y) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (-.f64 (*.f64 x z) x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (neg.f64 z) x)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z))) y) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z))) y)) |
(-.f64 (/.f64 y (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) y)) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 x z)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) y))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 x z)) (*.f64 y y))) |
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(/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -4 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 x #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64))) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -16 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -16 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -4 binary64) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 x #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 x #s(literal -1 binary64)))) (neg.f64 y)) |
(pow.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(*.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal 64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))) |
Compiled 67 724 to 3 663 computations (94.6% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 836 | 10 | 2 846 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 2 844 | 19 | 2 863 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(approx (- 4 (* x z)) #s(literal 4 binary64)))) | |
| 69.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (-.f64 x (fma.f64 x z #s(literal -4 binary64))))) | |
| 23.5% | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (*.f64 x (neg.f64 z)))) | |
| ▶ | 63.7% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
| 78.9% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) | |
| ✓ | 66.0% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| ▶ | 44.8% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
| 32.2% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) | |
| 63.7% | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ x (- 4 (* x z))) (-.f64 x (*.f64 x z)))))) | |
| 74.5% | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) | |
| 37.6% | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ x (- 4 (* x z)))) (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))) y))) | |
| ▶ | 87.7% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
| 46.3% | (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| ▶ | 45.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
| ✓ | 44.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
| 44.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) z) x))) | |
| 35.5% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (-.f64 x (*.f64 x z)) y)) | |
| 50.3% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) | |
| ▶ | 38.5% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
Compiled 455 to 282 computations (38% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) | |
| cost-diff | 384 | (/.f64 x (/.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- -4 x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) | |
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| cost-diff | 384 | (/.f64 z (/.f64 y x)) | |
| cost-diff | 832 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
| 1 808× | lower-fma.f32 |
| 1 806× | lower-fma.f64 |
| 954× | div-sub |
| 924× | lower-*.f32 |
| 922× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 202 |
| 0 | 58 | 202 |
| 1 | 109 | 200 |
| 2 | 197 | 192 |
| 3 | 407 | 192 |
| 4 | 856 | 192 |
| 5 | 1512 | 192 |
| 6 | 2526 | 192 |
| 7 | 3277 | 192 |
| 8 | 3764 | 192 |
| 9 | 4112 | 192 |
| 10 | 4323 | 192 |
| 11 | 4373 | 192 |
| 12 | 4379 | 192 |
| 13 | 4417 | 192 |
| 14 | 4548 | 192 |
| 15 | 4572 | 192 |
| 16 | 4572 | 192 |
| 0 | 4572 | 184 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(/.f64 z (/.f64 y x)) |
z |
(/.f64 y x) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) |
#s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) |
(*.f64 x z) |
x |
z |
y |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) |
(fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) |
x |
z |
#s(approx (- -4 x) (neg.f64 x)) |
(neg.f64 x) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
x |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 x z) y) |
z |
(/.f64 y x) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) |
#s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) |
(*.f64 x z) |
x |
z |
y |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) |
(fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) |
x |
z |
#s(approx (- -4 x) (neg.f64 x)) |
(neg.f64 x) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
(fabs.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (*.f64 x z) (neg.f64 y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (*.f64 x z) (neg.f64 y))) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
x |
(/.f64 (neg.f64 y) z) |
(/.f64 y (neg.f64 z)) |
(neg.f64 y) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) | |
| accuracy | 3.84264321602848 | (/.f64 x (/.f64 (neg.f64 y) z)) | |
| accuracy | 35.33942566314961 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) | |
| accuracy | 1.4642991613385332 | (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) | |
| accuracy | 32.6225163426084 | #s(approx (- -4 x) (neg.f64 x)) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) | |
| accuracy | 1.4642991613385332 | (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) | |
| accuracy | 35.85530348819694 | #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 40.14835364309895 | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| accuracy | 2.855466685830206 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) | |
| accuracy | 7.499526709123716 | (/.f64 z (/.f64 y x)) |
| 55.0ms | 256× | 0 | valid |
Compiled 165 to 32 computations (80.6% saved)
ival-div: 17.0ms (43.9% of total)ival-sub: 7.0ms (18.1% of total)ival-mult: 5.0ms (12.9% of total)ival-add: 4.0ms (10.3% of total)ival-fabs: 3.0ms (7.7% of total)ival-neg: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) (patch (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) (patch (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) (patch #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) (patch (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- -4 x) (neg.f64 x)) (patch #s(approx (- -4 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 (neg.f64 y) z)) (patch (/.f64 x (/.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 4 y) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) (taylor inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor 0 y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 4 x) (* x z)) y) (taylor inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) (taylor -inf y) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) (taylor inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) (taylor -inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) (taylor -inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) (taylor -inf z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ (neg y) z) |
| 0.0ms | z | @ | 0 | (/ (neg y) z) |
| 0.0ms | y | @ | inf | (/ (neg y) z) |
| 0.0ms | z | @ | inf | (/ (neg y) z) |
| 0.0ms | y | @ | -inf | (/ (neg y) z) |
| 1× | egg-herbie |
| 5 930× | lower-fma.f64 |
| 5 930× | lower-fma.f32 |
| 2 648× | lower-*.f64 |
| 2 648× | lower-*.f32 |
| 2 044× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 5291 |
| 1 | 424 | 4270 |
| 2 | 1165 | 4090 |
| 3 | 3195 | 4042 |
| 4 | 6972 | 4042 |
| 0 | 8275 | 3712 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(* x (- (/ 1 y) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
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(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (/ 1 y) (/ z y))) |
(/.f64 (fma.f64 x (neg.f64 z) x) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(/.f64 (fma.f64 x (neg.f64 z) x) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (fma.f64 x (neg.f64 z) x) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (* x (+ 1 (* -1 z))) y) |
(/.f64 (fma.f64 x (neg.f64 z) x) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y)))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ (+ 4 x) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z #s(literal -4 binary64))) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
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(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 4 810× | lower-/.f32 |
| 4 794× | lower-/.f64 |
| 4 352× | lower-fma.f32 |
| 4 350× | lower-fma.f64 |
| 3 650× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 181 |
| 0 | 58 | 181 |
| 1 | 263 | 171 |
| 2 | 2196 | 171 |
| 0 | 8144 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 z (/.f64 y x)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
(/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y) |
#s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) |
(*.f64 x z) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y) |
(fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) |
#s(approx (- -4 x) (neg.f64 x)) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 y) z) |
(neg.f64 x) |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(+.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(+.f64 (neg.f64 (*.f64 z (/.f64 x y))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y) (/.f64 x y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 z (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (-.f64 (*.f64 x z) x) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) y) x) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 y z) (*.f64 y (/.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z)))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z))) y) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (-.f64 #s(literal 4 binary64) (*.f64 x z))) (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z))) y)) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 y (*.f64 x z))) (*.f64 y (/.f64 y (*.f64 x z)))) (/.f64 y (*.f64 y (/.f64 y (*.f64 x z))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 x z)) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 y (neg.f64 x))) (*.f64 y (/.f64 y (neg.f64 x)))) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 y (/.f64 y (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y x))) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) z) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y x)))) |
(-.f64 (/.f64 (/.f64 y (*.f64 x z)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y (*.f64 x z)))) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y (*.f64 x z))))) |
(-.f64 (/.f64 y (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) y)) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 x z)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) y))) |
(-.f64 (/.f64 (/.f64 y (neg.f64 x)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y (neg.f64 x)))) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (neg.f64 z)) (*.f64 (/.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 y (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y x))) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 y (*.f64 x z))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x z)))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x z))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) (*.f64 x z)) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) (/.f64 y (neg.f64 x)))) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y))) (/.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z)) y)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) (/.f64 (+.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x z)) y))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 x (neg.f64 (/.f64 z y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 z (neg.f64 (/.f64 x y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 x y))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y) (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 4 binary64)) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 4 binary64) (*.f64 x z)) (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) #s(literal 1 binary64)) (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x y) (/.f64 z #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) (neg.f64 y)) (/.f64 x y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (-.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 (/.f64 z y)) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 (/.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y) #s(literal 1 binary64) (/.f64 x y)) |
(fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 z y) (neg.f64 x) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 z y) (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (neg.f64 (/.f64 x y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) #s(literal -1 binary64)) (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 z y)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal 64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z))))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (fma.f64 x z #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (fma.f64 x z #s(literal 4 binary64)) #s(literal 16 binary64))) y) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (fma.f64 x z #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 y)) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 z (*.f64 x z)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 z (*.f64 x z)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 4 binary64))) y) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 z (*.f64 x z)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 4 binary64))) (neg.f64 y)) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 z (/.f64 x y)))) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 64 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 x y)))) |
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(*.f64 (fma.f64 #s(approx (- -4 x) (neg.f64 x)) (*.f64 #s(approx (- -4 x) (neg.f64 x)) #s(approx (- -4 x) (neg.f64 x))) (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- -4 x) (neg.f64 x)) (-.f64 #s(approx (- -4 x) (neg.f64 x)) (*.f64 x z)) (*.f64 x (*.f64 z (*.f64 x z)))))) |
(*.f64 (*.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) (-.f64 (*.f64 x z) #s(approx (- -4 x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) #s(approx (- -4 x) (neg.f64 x))))) |
#s(approx (- -4 x) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (neg.f64 z)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 z (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y z)) (*.f64 z (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 z (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 (*.f64 z (/.f64 x y))) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(/.f64 z (/.f64 y (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x (neg.f64 z)))))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(/.f64 (/.f64 x y) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (neg.f64 z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 z))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 y z)) |
(pow.f64 (/.f64 y (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (/.f64 x y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 (neg.f64 (/.f64 z y)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 x y)) z) |
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 (/.f64 z y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (neg.f64 (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 z y))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 z y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (/.f64 z y))) |
(fabs.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y))))) |
(fabs.f64 (neg.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y)))))) |
(fabs.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y))))))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y)))))))) |
(fabs.f64 (-.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y)))) #s(literal 0 binary64))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y)))))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (neg.f64 (*.f64 z (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 z y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z))) (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 y (neg.f64 z)) |
(/.f64 y (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 z y))))) |
(/.f64 (neg.f64 y) z) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 z)) |
(pow.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (/.f64 z y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
Compiled 19 954 to 2 360 computations (88.2% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 280 | 5 | 1 285 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 285 | 19 | 1 304 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (fma.f64 x z #s(approx (- -4 x) (neg.f64 x)))))) | |
| 50.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(approx (- 4 (* x z)) #s(literal 4 binary64)))) | |
| 44.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (fabs.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)))) | |
| 69.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (-.f64 x (fma.f64 x z #s(literal -4 binary64))))) | |
| ✓ | 63.7% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
| 78.9% | (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) | |
| ✓ | 66.0% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| ✓ | 44.8% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
| 32.2% | (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) | |
| 37.6% | (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ x (- 4 (* x z)))) (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))) y))) | |
| 46.3% | (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| 45.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| ✓ | 45.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
| ✓ | 44.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
| 44.8% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) y)))) | |
| 44.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) z) x))) | |
| 35.5% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (fma.f64 x (neg.f64 z) x) y)) | |
| 50.3% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) | |
| ✓ | 38.5% | #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
Compiled 646 to 269 computations (58.4% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (-.f64 x (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (fma.f64 x (neg.f64 z) x) y)) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(approx (- 4 (* x z)) #s(literal 4 binary64)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x (*.f64 x z)) y))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (+.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) z) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (*.f64 x (neg.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fabs.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (-.f64 x (fma.f64 x z #s(literal -4 binary64))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ x (- 4 (* x z)))) (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))) y))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ x (- 4 (* x z))) (-.f64 x (*.f64 x z)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (fma.f64 x z #s(approx (- -4 x) (neg.f64 x)))))) |
(fma.f64 (/.f64 z (neg.f64 y)) x (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (+ x (- 4 (* x z)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x (fma.f64 z (neg.f64 y) y)) (*.f64 y #s(literal 1/4 binary64)))))) |
(fabs.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 y x)) (*.f64 y z)) (*.f64 y (/.f64 y x)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) (-.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
5 calls:
| 16.0ms | z |
| 15.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 13.0ms | x |
| 13.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 99.9% | 2 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 97.7% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (-.f64 x (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (fma.f64 x (neg.f64 z) x) y)) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(approx (- 4 (* x z)) #s(literal 4 binary64)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x (*.f64 x z)) y))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (+.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) z) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (*.f64 x (neg.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fabs.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (-.f64 x (fma.f64 x z #s(literal -4 binary64))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z))))) |
(fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ x (- 4 (* x z)))) (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (neg.f64 z) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))) y))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ x (- 4 (* x z))) (-.f64 x (*.f64 x z)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (fma.f64 x z #s(approx (- -4 x) (neg.f64 x)))))) |
(fma.f64 (/.f64 z (neg.f64 y)) x (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
5 calls:
| 29.0ms | z |
| 18.0ms | y |
| 9.0ms | x |
| 9.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 9.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | z |
| 97.7% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 97.7% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 97.7% | 1 | y |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (-.f64 x (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (fma.f64 x (neg.f64 z) x) y)) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(approx (- 4 (* x z)) #s(literal 4 binary64)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z (neg.f64 y)) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 x z) (neg.f64 y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x (*.f64 x z)) y))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ x (- 4 (* x z))) (+.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) (neg.f64 x))) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
5 calls:
| 6.0ms | z |
| 5.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 5.0ms | y |
| 5.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | x |
| 82.1% | 3 | y |
| 97.5% | 3 | z |
| 86.1% | 4 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 90.2% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (-.f64 x (*.f64 x z)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (fma.f64 x (neg.f64 z) x) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) |
3 calls:
| 5.0ms | z |
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 75.9% | 5 | x |
| 87.1% | 3 | z |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
2 calls:
| 3.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 84.5% | 3 | z |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
5 calls:
| 4.0ms | z |
| 3.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 3.0ms | y |
| 3.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 1 | x |
| 66.0% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 66.0% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 66.0% | 1 | y |
| 66.0% | 1 | z |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
5 calls:
| 41.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 2.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | y |
| 65.5% | 2 | x |
| 50.3% | 1 | z |
| 57.3% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 65.3% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
| Outputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
3 calls:
| 2.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 50.3% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 50.3% | 1 | x |
Compiled 33 to 22 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| Outputs |
|---|
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
5 calls:
| 2.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.5% | 1 | x |
| 38.5% | 1 | y |
| 38.5% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 38.5% | 1 | z |
| 38.5% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
Compiled 41 to 28 computations (31.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.913548527776305e+62 | 3.01990821372431e+66 |
| 10.0ms | 112× | 0 | valid |
Compiled 242 to 177 computations (26.9% saved)
ival-div: 5.0ms (68% of total)ival-add: 1.0ms (13.6% of total)ival-mult: 1.0ms (13.6% of total)ival-fabs: 1.0ms (13.6% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 11.0ms | 2.1669583380936274e-13 | 3.455153269498203e-12 |
| 14.0ms | -61859012415714824.0 | -187776320.96691367 |
| 16.0ms | 240× | 0 | valid |
Compiled 363 to 256 computations (29.5% saved)
ival-div: 3.0ms (34.3% of total)ival-sub: 1.0ms (11.4% of total)ival-add: 1.0ms (11.4% of total)ival-mult: 1.0ms (11.4% of total)ival-fabs: 1.0ms (11.4% 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 |
|---|---|---|
| 14.0ms | 8.127823134537149e+21 | 7.557346128753078e+24 |
| 8.0ms | -3.831044031542387e+91 | -1.0434193793859948e+91 |
| 14.0ms | 208× | 0 | valid |
Compiled 304 to 211 computations (30.6% saved)
ival-div: 3.0ms (39.8% of total)ival-sub: 1.0ms (13.3% of total)ival-add: 1.0ms (13.3% of total)ival-mult: 1.0ms (13.3% of total)ival-fabs: 1.0ms (13.3% 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 |
|---|---|---|
| 2.0ms | 8.127823134537149e+21 | 7.557346128753078e+24 |
| 0.0ms | -3.831044031542387e+91 | -1.0434193793859948e+91 |
| 1.0ms | 16× | 0 | valid |
Compiled 304 to 211 computations (30.6% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-fabs: 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 |
|---|---|---|
| 18.0ms | -7.773479734953804 | -8.106791310439031e-10 |
| 13.0ms | 160× | 0 | valid |
Compiled 228 to 156 computations (31.6% saved)
ival-div: 2.0ms (35.8% of total)ival-sub: 1.0ms (17.9% of total)ival-add: 1.0ms (17.9% of total)ival-mult: 1.0ms (17.9% of total)ival-fabs: 1.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 12× | fabs-div_binary64 |
| 10× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 285 |
| 1 | 105 | 285 |
| 2 | 118 | 285 |
| 3 | 123 | 285 |
| 4 | 126 | 285 |
| 5 | 127 | 285 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 1499999999999999995443087580909022353359765988994871928763187200 binary64)) (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)))) |
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(if (<=.f64 z #s(literal -190000000 binary64)) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) (if (<=.f64 z #s(literal 245000000000000014680064 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 234999999999999985319936 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 x #s(literal -4 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 1499999999999999995443087580909022353359765988994871928763187200 binary64)) (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x z)))))) (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)))) |
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(if (<=.f64 z #s(literal -190000000 binary64)) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)))) |
(if (<=.f64 z #s(literal -190000000 binary64)) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) (if (<=.f64 z #s(literal 245000000000000014680064 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)) (if (<=.f64 z #s(literal 245000000000000014680064 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) (*.f64 x z)) y)))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 234999999999999985319936 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))))) |
(if (<=.f64 z #s(literal -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 234999999999999985319936 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) (fabs.f64 #s(approx (/ (+ (* x z) (- -4 x)) y) (*.f64 z (/.f64 x y)))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
(if (<=.f64 x #s(literal -4 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 x #s(literal -4 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* x z) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) #s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 x #s(literal 4 binary64)) y))) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 (+.f64 x #s(literal 4 binary64)) y)) |
#s(approx (* (/ 1 y) (+ x (- 4 (* x z)))) (/.f64 #s(literal 4 binary64) y)) |
| 11 398× | lower-fma.f64 |
| 11 398× | lower-fma.f32 |
| 7 916× | lower-fma.f64 |
| 7 916× | lower-fma.f32 |
| 6 220× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 6277 |
| 1 | 1519 | 5770 |
| 2 | 4500 | 5696 |
| 0 | 8297 | 5383 |
| 0 | 61 | 1300 |
| 1 | 191 | 1300 |
| 2 | 460 | 1164 |
| 3 | 1273 | 988 |
| 4 | 3604 | 988 |
| 5 | 7501 | 988 |
| 0 | 8415 | 922 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 69 | 32 |
| 2 | 573 | 32 |
| 0 | 8708 | 31 |
| 0 | 31 | 173 |
| 0 | 49 | 171 |
| 1 | 216 | 155 |
| 2 | 1787 | 155 |
| 0 | 8503 | 155 |
| 0 | 321 | 5619 |
| 1 | 1009 | 5116 |
| 2 | 3019 | 5045 |
| 0 | 8181 | 4703 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 594 to 319 computations (46.3% saved)
Compiled 542 to 250 computations (53.9% saved)
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