
Time bar (total: 5.2s)
| 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)
| 645.0ms | 8 256× | 0 | valid |
ival-div: 123.0ms (28.6% of total)ival-mult: 122.0ms (28.3% of total)ival-add: 88.0ms (20.4% of total)ival-fabs: 48.0ms (11.1% of total)ival-sub: 35.0ms (8.1% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 0 | - | (*.f64 (/.f64 x y) z) |
| 8 | 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*o | 10 | 0 |
-.f64 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | nan-rescue | 8 | 0 |
| ↳ | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | overflow | 26 | |
| ↳ | (/.f64 x y) | overflow | 26 | |
| ↳ | (*.f64 (/.f64 x y) z) | overflow | 49 | |
*.f64 | (*.f64 (/.f64 x y) z) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 16 | 0 |
| - | 4 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 16 | 0 | 0 |
| - | 4 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 102 to 34 computations (66.7% saved)
ival-div: 12.0ms (49.7% of total)ival-add: 3.0ms (12.4% of total)ival-mult: 3.0ms (12.4% of total)ival-fabs: 3.0ms (12.4% of total)ival-sub: 2.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(abs y)
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.0% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
Compiled 12 to 10 computations (16.7% 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 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
(-.f64 x #s(literal -4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(*.f64 (/.f64 x y) z) |
(*.f64 z (/.f64 x y)) |
(/.f64 x y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 4 binary64)) | |
| accuracy | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| accuracy | 1.902331364981235 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | |
| accuracy | 3.4120868729257987 | (*.f64 (/.f64 x y) z) |
| 108.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-mult: 16.0ms (66.6% of total)ival-div: 4.0ms (16.6% of total)ival-add: 2.0ms (8.3% of total)ival-sub: 1.0ms (4.2% of total)ival-fabs: 1.0ms (4.2% 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 (/ 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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (/ (* 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 (* -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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor inf z) (#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 (/ (* 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 (* -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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor -inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor -inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor -inf z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor -inf z) (#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 (/ (* 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 (/ (- (+ 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>) () ())) ()) |
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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 (+ (* -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 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#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 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#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 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#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 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#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 (/ 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 (taylor -inf x) (#s(alt (+.f64 x #s(literal 4 binary64)) (patch (+.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 4 binary64)) (patch (+.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 4 binary64)) (patch (+.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 4 binary64)) (patch (+.f64 x #s(literal 4 binary64)) #<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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z)) |
| 2.0ms | x | @ | -inf | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z)) |
| 2.0ms | y | @ | 0 | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z)) |
| 1.0ms | y | @ | inf | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z)) |
| 1.0ms | z | @ | 0 | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ 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 | 1268 | 988 |
| 4 | 3589 | 988 |
| 5 | 7420 | 988 |
| 0 | 8345 | 922 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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))) |
(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))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))) |
(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))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* 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 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* 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 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* 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)) |
(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 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))) |
(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)) |
4 |
(+ 4 x) |
(+ 4 x) |
(+ 4 x) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))) |
(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))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
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 (+ (* -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)))))) |
(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)))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
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) |
| Outputs |
|---|
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (+ 4 x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
4 |
#s(literal 4 binary64) |
(+ 4 x) |
(-.f64 x #s(literal -4 binary64)) |
(+ 4 x) |
(-.f64 x #s(literal -4 binary64)) |
(+ 4 x) |
(-.f64 x #s(literal -4 binary64)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(* x (- (/ 1 y) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x y)) |
(/ (* x z) y) |
(*.f64 z (/.f64 x 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 |
|---|
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Compiled 11 634 to 1 634 computations (86% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 547 | 6 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 548 | 6 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| 96.9% | (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z x))))) | |
| ▶ | 72.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
| ▶ | 42.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| ▶ | 61.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
| ▶ | 41.4% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
Compiled 100 to 102 computations (-2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) | |
| cost-diff | 0 | (-.f64 x #s(literal -4 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal -4 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) 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 z x (-.f64 #s(literal -4 binary64) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| 1 328× | lower-fma.f32 |
| 1 326× | lower-fma.f64 |
| 564× | lower-*.f32 |
| 560× | lower-*.f64 |
| 454× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 219 |
| 0 | 48 | 219 |
| 1 | 84 | 219 |
| 2 | 131 | 219 |
| 3 | 254 | 219 |
| 4 | 488 | 203 |
| 5 | 1082 | 203 |
| 6 | 1899 | 203 |
| 7 | 2052 | 203 |
| 8 | 2204 | 203 |
| 9 | 2696 | 203 |
| 10 | 2704 | 203 |
| 11 | 2704 | 203 |
| 12 | 2704 | 203 |
| 0 | 2704 | 195 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
z |
x |
(-.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 #s(literal -4 binary64)) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #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 |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(neg.f64 z) |
z |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(fma.f64 x z (-.f64 #s(literal -4 binary64) x)) |
z |
x |
(-.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 #s(literal -4 binary64)) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #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 |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(neg.f64 z) |
z |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 x y) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) | |
| accuracy | 0.9912507915615506 | (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| accuracy | 24.888069392709212 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) | |
| accuracy | 3.4120868729257987 | (*.f64 (neg.f64 z) (/.f64 x y)) | |
| accuracy | 40.54287653666445 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| accuracy | 0 | (/.f64 (-.f64 x #s(literal -4 binary64)) y) | |
| accuracy | 0 | (-.f64 x #s(literal -4 binary64)) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) | |
| accuracy | 19.61193505719922 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) 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 | 37.529580414339144 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 0 | (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal -4 binary64) x) | |
| accuracy | 0 | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) | |
| accuracy | 1.9200246976650472 | (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
| 61.0ms | 256× | 0 | valid |
Compiled 174 to 26 computations (85.1% saved)
ival-div: 29.0ms (63.8% of total)ival-mult: 6.0ms (13.2% of total)ival-sub: 4.0ms (8.8% of total)ival-add: 2.0ms (4.4% of total)ival-fabs: 2.0ms (4.4% of total)ival-neg: 1.0ms (2.2% 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 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 z 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 #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 #s(literal -4 binary64)) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) #<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 (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (patch (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#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 (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) #<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 (-.f64 x #s(literal -4 binary64)) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) #<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 (-.f64 x #s(literal -4 binary64)) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) #<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 (-.f64 x #s(literal -4 binary64)) y)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 (/ z y)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<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 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<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 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<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 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z)) |
| 31.0ms | y | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z)) |
| 4.0ms | x | @ | inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z)) |
| 2.0ms | y | @ | 0 | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z)) |
| 2.0ms | x | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z)) |
| 1× | egg-herbie |
| 5 906× | lower-fma.f64 |
| 5 906× | lower-fma.f32 |
| 2 884× | lower-*.f64 |
| 2 884× | lower-*.f32 |
| 1 974× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 4948 |
| 1 | 419 | 4484 |
| 2 | 1178 | 4244 |
| 3 | 3218 | 4194 |
| 4 | 7280 | 4194 |
| 0 | 8039 | 3846 |
| 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)) |
(* -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)) |
(* -1 (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 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))) |
(+ (* 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))) |
(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 (/ 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))) |
(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 (/ 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)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(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 (/ 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))) |
(/ x y) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) 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) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(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))) |
(* -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))) |
(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))) |
(* -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))) |
(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))) |
(* -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 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(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))) |
(* -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)) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 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) |
(* -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))))) |
(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))) |
(* -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))) |
(* -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))) |
(* -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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(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))) |
(* -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 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* 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) |
(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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(* -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 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))) |
(* -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 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 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))) |
(* -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)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* -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)) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) 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))) |
-4 |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
-4 |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(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))) |
(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))) |
(/ 4 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
4 |
(+ 4 x) |
(+ 4 x) |
(+ 4 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))) |
(/ 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) 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)) |
(/ (* 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)))))) |
(* x (- z 1)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 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))) |
(* 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))) |
(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))) |
(* 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 y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* 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))) |
(* 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* 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) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) 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)) |
(* -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 (* 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 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(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)))) |
(* 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)))))) |
(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)))) |
(* 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)))))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(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)))) |
(* 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 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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)))) |
(* 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)))))) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
| Outputs |
|---|
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (+ 4 x)) |
(-.f64 #s(literal -4 binary64) x) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
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(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (+ 4 x) (* x z)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x (- z 1)) y) |
(/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* x (- z 1)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(fma.f64 z 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 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (- (/ 1 y) (/ z y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (- (/ 1 y) (/ z y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (- (/ 1 y) (/ z y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (- (/ 1 y) (/ z y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (* x (+ 1 (* -1 z))) y)) |
(/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z 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)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
x |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(* x (+ 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal -4 binary64)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/ (* x (- 1 z)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
| 5 394× | lower-/.f32 |
| 5 386× | lower-/.f64 |
| 4 480× | lower-*.f32 |
| 4 476× | lower-*.f64 |
| 3 778× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 0 | 48 | 197 |
| 1 | 189 | 181 |
| 2 | 1360 | 181 |
| 0 | 8888 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(fma.f64 z x (-.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 #s(literal -4 binary64)) y))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(-.f64 x #s(literal -4 binary64)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(neg.f64 z) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
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Compiled 15 498 to 2 677 computations (82.7% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 123 | 5 | 1 128 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 126 | 8 | 1 134 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.4% | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
| ▶ | 35.2% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| ✓ | 72.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
| ▶ | 40.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
| ✓ | 42.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| ▶ | 60.0% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
| ✓ | 41.4% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
| ▶ | 34.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
Compiled 96 to 101 computations (-5.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| cost-diff | 384 | (/.f64 (neg.f64 z) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (- x -4) y) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) | |
| cost-diff | 0 | #s(approx (- -4 x) #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
| 1 664× | lower-fma.f32 |
| 1 662× | lower-fma.f64 |
| 910× | times-frac |
| 768× | lower-*.f32 |
| 764× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 248 |
| 0 | 54 | 248 |
| 1 | 95 | 248 |
| 2 | 149 | 248 |
| 3 | 266 | 248 |
| 4 | 484 | 248 |
| 5 | 1140 | 248 |
| 6 | 2220 | 248 |
| 7 | 2949 | 236 |
| 8 | 3361 | 236 |
| 9 | 4300 | 236 |
| 10 | 4437 | 236 |
| 11 | 4509 | 236 |
| 12 | 4591 | 236 |
| 13 | 4591 | 236 |
| 0 | 4591 | 227 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) |
(fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) |
z |
x |
#s(approx (- -4 x) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) |
#s(approx (/ (- x -4) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
x |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 (/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) |
(/.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) y) |
(fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) |
(fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64))) |
z |
x |
#s(approx (- -4 x) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) |
#s(approx (/ (- x -4) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 x z)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 x z)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
x |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| accuracy | 3.137585380495748 | (/.f64 (neg.f64 z) (/.f64 y x)) | |
| accuracy | 40.54287653666445 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| accuracy | 2.97033221415366 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) | |
| accuracy | 24.888069392709212 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) | |
| accuracy | 1.9200246976650472 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) | |
| accuracy | 41.15557235505842 | #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) | |
| accuracy | 19.61193505719922 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) | |
| accuracy | 30.587853413979587 | #s(approx (/ (- x -4) y) (/.f64 x y)) | |
| accuracy | 0 | (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) | |
| accuracy | 0 | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) | |
| accuracy | 1.9200246976650472 | (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) | |
| accuracy | 32.230349916720215 | #s(approx (- -4 x) #s(literal -4 binary64)) |
| 48.0ms | 256× | 0 | valid |
Compiled 179 to 27 computations (84.9% saved)
ival-div: 12.0ms (37.1% of total)ival-mult: 10.0ms (31% of total)ival-sub: 4.0ms (12.4% of total)ival-add: 2.0ms (6.2% of total)ival-fabs: 2.0ms (6.2% of total)ival-neg: 1.0ms (3.1% 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 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) (patch (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) (patch (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- -4 x) #s(literal -4 binary64)) (patch #s(approx (- -4 x) #s(literal -4 binary64)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x -4) y) (/.f64 x y)) (patch #s(approx (/ (- x -4) y) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) (/.f64 y x)) (patch (/.f64 (neg.f64 z) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (patch (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) (patch (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) (patch (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) (patch (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) (patch (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) (patch (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) (patch (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) (patch (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) (patch (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) #<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)) #s(approx (/ (- x -4) y) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) #<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)) #s(approx (/ (- x -4) y) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) #<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)) #s(approx (/ (- x -4) y) (/.f64 x y))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (/ x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (/ x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (/ x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
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#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<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 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) (/.f64 y x)) (patch (/.f64 (neg.f64 z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) (/.f64 y x)) (patch (/.f64 (neg.f64 z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) (/.f64 y x)) (patch (/.f64 (neg.f64 z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) (/.f64 y x)) (patch (/.f64 (neg.f64 z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z y)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) #<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 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) #<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 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) #<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 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ (- 1 z) y) x) (/ (- 1 z) y) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z)) |
| 2.0ms | x | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ (- 1 z) y) x) (/ (- 1 z) y) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z)) |
| 2.0ms | y | @ | 0 | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ (- 1 z) y) x) (/ (- 1 z) y) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z)) |
| 2.0ms | z | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ (- 1 z) y) x) (/ (- 1 z) y) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z)) |
| 2.0ms | x | @ | inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (- x -4) y) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ (- 1 z) y) x) (/ (- 1 z) y) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z)) |
| 1× | egg-herbie |
| 5 802× | lower-fma.f64 |
| 5 802× | lower-fma.f32 |
| 2 602× | lower-*.f64 |
| 2 602× | lower-*.f32 |
| 1 724× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 5218 |
| 1 | 420 | 4728 |
| 2 | 1206 | 4548 |
| 3 | 3304 | 4500 |
| 4 | 7146 | 4500 |
| 0 | 8178 | 4134 |
| 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)) |
(* -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)) |
(* -1 (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 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))) |
(+ (* 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))) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 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)) |
(* -1 (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(- (* x z) (+ 4 x)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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 (/ 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))) |
(/ x y) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(+ (* -1 (/ (* x z) y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 (/ 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) 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) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(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))) |
(* -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))) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) 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) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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))) |
(* -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)) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* z (+ (* -1 (/ x y)) (/ x (* y z)))) |
(* -1 (/ z y)) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* -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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 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) |
(* -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))))) |
(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))) |
(* -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 (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 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) |
(* -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))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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))) |
(* -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 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y)))) |
(* -1 (/ z y)) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* -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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* 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) |
(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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(* -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 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 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))) |
(* -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)) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* -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)) |
(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))) |
-4 |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
-4 |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(- (* -1 x) 4) |
(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))) |
(/ 4 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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))) |
-4 |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(- (* x (- z 1)) 4) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) 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)))))) |
(* x (- z 1)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 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))) |
(* 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 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 y) |
(/ x y) |
(/ 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)) |
(/ (* 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)))))) |
(* x (- z 1)) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x (- z (+ 1 (* 4 (/ 1 x))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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))) |
(* 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) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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))) |
(* 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))) |
(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)) |
(* -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 (* 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 x) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 4 (/ 1 x))))) |
(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)))) |
(* 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)))))) |
(/ 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 y) |
(/ x y) |
(/ 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)) |
(* -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 (* 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)))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(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)))) |
(* 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)))))) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(/ (* x (- 1 z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* 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)))) |
(* 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)))))) |
| Outputs |
|---|
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (+ 4 x)) |
(-.f64 #s(literal -4 binary64) x) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x z) (+ 4 x)) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (+ 4 x) y)) |
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(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (* x (+ 1 (* -1 z))) y)) |
(/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(/ (* x (- 1 z)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* x (+ (* -1 (/ z y)) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
| 4 568× | lower-*.f32 |
| 4 564× | lower-*.f64 |
| 4 562× | lower-/.f32 |
| 4 550× | lower-/.f64 |
| 3 166× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 226 |
| 0 | 54 | 226 |
| 1 | 223 | 214 |
| 2 | 1596 | 214 |
| 0 | 8473 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) |
(fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) |
#s(approx (- -4 x) #s(literal -4 binary64)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))) |
#s(approx (/ (- x -4) y) (/.f64 x y)) |
(/.f64 x y) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) |
(*.f64 z x) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 10 765 to 1 468 computations (86.4% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 945 | 0 | 945 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 945 | 8 | 953 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.4% | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
| ✓ | 35.2% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| ✓ | 72.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
| ✓ | 40.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
| ✓ | 42.9% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| ✓ | 60.0% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
| ✓ | 41.4% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
| ✓ | 34.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
Compiled 158 to 117 computations (25.9% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(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 (+.f64 #s(literal 4 binary64) x) (*.f64 z x))))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
5 calls:
| 6.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 4.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | x |
| 99.5% | 2 | y |
| 97.0% | 1 | z |
| 99.5% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 99.5% | 2 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
4 calls:
| 14.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 4.0ms | y |
| 4.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | x |
| 97.0% | 1 | y |
| 97.0% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 97.0% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
Compiled 25 to 25 computations (0% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
5 calls:
| 22.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 2 | y |
| 96.7% | 3 | z |
| 85.1% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 94.2% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 99.1% | 3 | x |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
2 calls:
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 3 | z |
| 84.5% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
2 calls:
| 5.0ms | z |
| 2.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 4 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 88.3% | 3 | z |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #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 |
| 2.0ms | z |
| 2.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 1 | y |
| 72.7% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 72.7% | 1 | x |
| 72.7% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 72.7% | 1 | z |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
5 calls:
| 4.0ms | x |
| 2.0ms | z |
| 2.0ms | (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 | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.4% | 3 | y |
| 53.8% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 64.1% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 71.9% | 3 | x |
| 47.2% | 3 | z |
Compiled 26 to 28 computations (-7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
5 calls:
| 1.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 1.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.2% | 1 | y |
| 34.2% | 1 | z |
| 34.2% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 34.2% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 34.2% | 1 | x |
Compiled 26 to 28 computations (-7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -1.7184770509868754e+73 | -7.342530727406903e+72 |
| 20.0ms | 64× | 0 | valid |
Compiled 87 to 92 computations (-5.7% saved)
ival-div: 17.0ms (93.4% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.049972749529926e-6 | 69.55444522955581 |
| 22.0ms | -306.52729059292835 | -9.640889826370217e-19 |
| 26.0ms | 320× | 0 | valid |
Compiled 355 to 396 computations (-11.5% saved)
ival-add: 7.0ms (36.7% of total)ival-div: 4.0ms (21% of total)ival-fabs: 4.0ms (21% of total)ival-mult: 2.0ms (10.5% of total)ival-sub: 1.0ms (5.2% 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 |
|---|---|---|
| 20.0ms | 3.51236501098841e-20 | 0.1861644473552414 |
| 14.0ms | -2.1176350136309103e+46 | -3.300386784627649e+44 |
| 24.0ms | 272× | 0 | valid |
Compiled 270 to 322 computations (-19.3% saved)
ival-div: 3.0ms (31.6% of total)ival-add: 2.0ms (21% of total)ival-mult: 2.0ms (21% of total)ival-sub: 1.0ms (10.5% of total)ival-fabs: 1.0ms (10.5% 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 |
|---|---|---|
| 15.0ms | 79472028823385980.0 | 1.3177243796256628e+26 |
| 5.0ms | -2.1176350136309103e+46 | -3.300386784627649e+44 |
| 13.0ms | 192× | 0 | valid |
Compiled 239 to 288 computations (-20.5% saved)
ival-mult: 3.0ms (35.6% of total)ival-div: 2.0ms (23.7% of total)ival-sub: 1.0ms (11.9% of total)ival-add: 1.0ms (11.9% of total)ival-fabs: 1.0ms (11.9% 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 |
|---|---|---|
| 6.0ms | 1.049972749529926e-6 | 69.55444522955581 |
| 1.0ms | -306.52729059292835 | -9.640889826370217e-19 |
| 4.0ms | 64× | 0 | valid |
Compiled 235 to 336 computations (-43% saved)
ival-div: 1.0ms (46.8% 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× | egg-herbie |
| 30× | +-commutative-binary64-+.f64 |
| 28× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 24× | *-commutative-binary64-*.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 350 |
| 1 | 102 | 350 |
| 2 | 126 | 350 |
| 3 | 144 | 350 |
| 4 | 158 | 350 |
| 5 | 166 | 350 |
| 6 | 169 | 350 |
| 7 | 170 | 350 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #s(literal +inf.0 binary64)) (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))))) |
(if (<=.f64 x #s(literal -7999999999999999550414487590356568192457793032164404252352991136451657728 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))) |
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))))) |
(if (<=.f64 z #s(literal -335000000000000017667336330636865207319658496 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 3242591731706757/18014398509481984 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)))) |
(if (<=.f64 z #s(literal -499999999999999964878644512267775609965379584 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (if (<=.f64 z #s(literal 220000000000000000000 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z 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 -6980579422424269/4503599627370496 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) #s(literal +inf.0 binary64)) (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (*.f64 z (/.f64 x y))) #s(literal +inf.0 binary64)) (fabs.f64 (-.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y))))) |
(if (<=.f64 x #s(literal -7999999999999999550414487590356568192457793032164404252352991136451657728 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))) |
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))))) |
(if (<=.f64 z #s(literal -335000000000000017667336330636865207319658496 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 3242591731706757/18014398509481984 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)))) |
(if (<=.f64 z #s(literal -499999999999999964878644512267775609965379584 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) (if (<=.f64 z #s(literal 220000000000000000000 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z 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 -6980579422424269/4503599627370496 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(approx (/ (- x -4) y) (/.f64 x y)))) |
| 7 916× | lower-fma.f64 |
| 7 916× | lower-fma.f32 |
| 6 220× | lower-fma.f64 |
| 6 220× | lower-fma.f32 |
| 5 906× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 69 | 32 |
| 2 | 573 | 32 |
| 0 | 8708 | 31 |
| 0 | 61 | 1300 |
| 1 | 191 | 1300 |
| 2 | 460 | 1164 |
| 3 | 1268 | 988 |
| 4 | 3589 | 988 |
| 5 | 7420 | 988 |
| 0 | 8345 | 922 |
| 0 | 133 | 4948 |
| 1 | 419 | 4484 |
| 2 | 1178 | 4244 |
| 3 | 3218 | 4194 |
| 4 | 7280 | 4194 |
| 0 | 8039 | 3846 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 310 to 199 computations (35.8% saved)
(abs y)
Compiled 460 to 186 computations (59.6% saved)
Loading profile data...