
Time bar (total: 7.5s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-div: 116.0ms (33% of total)ival-add: 71.0ms (20.2% of total)ival-mult: 65.0ms (18.5% of total)ival-fabs: 48.0ms (13.7% of total)ival-sub: 38.0ms (10.8% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 1 | (-5.193695162401681e-107 6.978216738668587e+266 3.8579260435271584e+49) | 3 | (6.807271532757416e-63 5.3552024811013565e+250 -7.344054035153105e+51) | (*.f64 (/.f64 x y) z) |
| 3 | 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 | 8 | 0 |
-.f64 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | nan-rescue | 3 | 0 |
| ↳ | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | overflow | 23 | |
| ↳ | (/.f64 x y) | overflow | 22 | |
| ↳ | (*.f64 (/.f64 x y) z) | overflow | 36 | |
*.f64 | (*.f64 (/.f64 x y) z) | n*u | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 1 |
| - | 2 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 1 |
| - | 2 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 102 to 34 computations (66.7% saved)
ival-div: 7.0ms (31.4% of total)ival-add: 6.0ms (26.9% of total)ival-mult: 3.0ms (13.4% of total)ival-fabs: 3.0ms (13.4% of total)ival-sub: 2.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 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 |
|---|---|---|
| ▶ | 95.5% | (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 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| accuracy | 0.7187458716604117 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) | |
| accuracy | 3.368469897714219 | (*.f64 (/.f64 x y) z) |
| 72.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-div: 52.0ms (87.5% of total)ival-add: 2.0ms (3.4% of total)ival-mult: 2.0ms (3.4% of total)ival-fabs: 2.0ms (3.4% of total)ival-sub: 1.0ms (1.7% 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 | |
|---|---|---|---|---|
| 121.0ms | x | @ | 0 | ((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z)) |
| 3.0ms | 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 | @ | 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 | 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 8 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 546 | 8 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.5% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
| ▶ | 95.5% | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| ▶ | 95.2% | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
| 82.2% | (fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) | |
| 68.6% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) | |
| ▶ | 44.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| 59.6% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) | |
| ▶ | 42.7% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))) |
Compiled 146 to 140 computations (4.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| cost-diff | 384 | (/.f64 z (/.f64 y x)) | |
| cost-diff | 832 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) | |
| 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)) | |
| 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 #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 z y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) | |
| cost-diff | 832 | (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
| 1 376× | lower-fma.f32 |
| 1 372× | lower-fma.f64 |
| 612× | lower-*.f32 |
| 610× | lower-*.f64 |
| 562× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 200 |
| 0 | 58 | 203 |
| 1 | 99 | 203 |
| 2 | 155 | 203 |
| 3 | 237 | 203 |
| 4 | 369 | 182 |
| 5 | 605 | 182 |
| 6 | 1204 | 182 |
| 7 | 2253 | 182 |
| 8 | 2970 | 182 |
| 9 | 3447 | 182 |
| 10 | 3522 | 182 |
| 11 | 3534 | 182 |
| 12 | 3534 | 182 |
| 0 | 3534 | 176 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(neg.f64 x) |
x |
(/.f64 z y) |
z |
y |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(+.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
(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 (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 (/.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 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(+.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
(/.f64 z (/.f64 y x)) |
z |
(/.f64 y x) |
| Outputs |
|---|
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(/.f64 (-.f64 x (fma.f64 z x #s(literal -4 binary64))) y) |
(neg.f64 x) |
x |
(/.f64 z y) |
z |
y |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
(/.f64 (-.f64 x #s(literal -4 binary64)) y) |
(+.f64 #s(literal 4 binary64) x) |
(-.f64 x #s(literal -4 binary64)) |
#s(literal 4 binary64) |
(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 (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 (/.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 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 (-.f64 x (fma.f64 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 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
z |
(/.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x #s(literal 4 binary64)) y) | |
| accuracy | 0.7187458716604117 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) | |
| accuracy | 3.740399031611727 | (/.f64 z (/.f64 y x)) | |
| 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 | 2.869156508968271 | (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) 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 | 3.368469897714219 | (*.f64 (neg.f64 z) (/.f64 x y)) | |
| accuracy | 38.44104284778948 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x 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 | 36.629672777389054 | #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 4 binary64) x) y) | |
| accuracy | 2.183509254667193 | (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 185 to 32 computations (82.7% saved)
ival-div: 22.0ms (39.6% of total)ival-mult: 12.0ms (21.6% of total)ival-fabs: 8.0ms (14.4% of total)ival-add: 5.0ms (9% of total)ival-neg: 5.0ms (9% of total)ival-sub: 3.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (patch (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<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 (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 (/.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 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) (patch (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) (patch (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (+.f64 #s(literal 4 binary64) x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (patch (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (patch (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (patch (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (patch (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z 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 (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 (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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#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 (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (+.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (+.f64 #s(literal 4 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (+.f64 #s(literal 4 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (+.f64 #s(literal 4 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (+.f64 #s(literal 4 binary64) x) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (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)) (* (neg z) (/ x y)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (- (/ (+ x 4) y) (/ z (/ y x))) (/ z (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (/ (+ x 4) y) (/ (+ 4 x) y)) |
| 2.0ms | y | @ | 0 | ((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (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)) (* (neg z) (/ x y)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (- (/ (+ x 4) y) (/ z (/ y x))) (/ z (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (/ (+ x 4) y) (/ (+ 4 x) y)) |
| 2.0ms | y | @ | -inf | ((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (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)) (* (neg z) (/ x y)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (- (/ (+ x 4) y) (/ z (/ y x))) (/ z (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (/ (+ x 4) y) (/ (+ 4 x) y)) |
| 2.0ms | z | @ | -inf | ((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (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)) (* (neg z) (/ x y)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (- (/ (+ x 4) y) (/ z (/ y x))) (/ z (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (/ (+ x 4) y) (/ (+ 4 x) y)) |
| 2.0ms | x | @ | inf | ((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (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)) (* (neg z) (/ x y)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (- (/ (+ x 4) y) (/ z (/ y x))) (/ z (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (/ (+ x 4) y) (/ (+ 4 x) y)) |
| 1× | egg-herbie |
| 5 848× | lower-fma.f64 |
| 5 848× | lower-fma.f32 |
| 2 670× | lower-*.f64 |
| 2 670× | lower-*.f32 |
| 1 110× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 5685 |
| 1 | 426 | 4616 |
| 2 | 1159 | 4322 |
| 3 | 3124 | 4276 |
| 4 | 6559 | 4276 |
| 0 | 8034 | 3928 |
| 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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(+ (* 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 (/ (- (* 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)) |
(+ (* 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(* -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 (/ (- (* 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)))) |
(* -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))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(* -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 (/ (- (* 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))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(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 (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(/ (- (+ 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) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(/ (- (+ 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) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (- (+ 4 x) (* x z)) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z 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))) |
(* -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)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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)) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) y) |
(/ (- (* x z) (+ 4 x)) 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ 4 y) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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))) |
(/ 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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) |
(/ 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x 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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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)) |
(/ (* 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))))) |
(* 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(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 y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* -1 (* x (- (/ z y) (/ 1 y)))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x 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))))) |
(* 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
| 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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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 (/ (- (* 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)) |
(+ (* 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 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)) |
(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)) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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))) |
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#s(literal -4 binary64) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(/ 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 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)) |
(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 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) |
(* 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 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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 #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 (- (/ 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) |
(* -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 (/ (- (* 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 z #s(literal 1 binary64)) (/.f64 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) |
(* 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) |
(/ (* 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)) |
(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 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) |
(* -1 (* x (- (/ z y) (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(* -1 (* x (- (/ 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) (+ (/ 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) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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 #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 (+ (* -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) |
(* -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 (/ (- (+ (* -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 z #s(literal 1 binary64)) (/.f64 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) |
(* 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) |
(/ (* 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)) |
(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 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) |
| 5 982× | lower-fma.f32 |
| 5 978× | lower-fma.f64 |
| 5 846× | lower-/.f32 |
| 5 832× | lower-/.f64 |
| 3 332× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 171 |
| 0 | 58 | 171 |
| 1 | 240 | 155 |
| 2 | 1887 | 155 |
| 0 | 8463 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(neg.f64 x) |
(/.f64 z 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) |
(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 (/.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) |
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))) |
(/.f64 z (/.f64 y x)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(/.f64 (+.f64 x #s(literal 4 binary64)) y) |
(/.f64 (+.f64 #s(literal 4 binary64) x) y) |
| Outputs |
|---|
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Compiled 26 978 to 2 854 computations (89.4% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 549 | 10 | 1 559 |
| Fresh | 3 | 0 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 554 | 13 | 1 567 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.5% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
| ▶ | 78.0% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
| ✓ | 95.5% | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| 75.8% | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) | |
| 69.4% | (fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 z x) (-.f64 #s(literal -4 binary64) x))))) | |
| ▶ | 68.6% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| ▶ | 56.1% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
| ▶ | 36.3% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| 59.6% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) | |
| 42.7% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| ▶ | 39.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
| 42.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| ✓ | 44.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
Compiled 218 to 201 computations (7.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 z #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| cost-diff | 0 | #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 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 #s(literal -4 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
| 1 632× | lower-fma.f32 |
| 1 630× | lower-fma.f64 |
| 816× | lower-*.f32 |
| 810× | lower-*.f64 |
| 706× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 248 |
| 0 | 59 | 248 |
| 1 | 95 | 248 |
| 2 | 140 | 248 |
| 3 | 209 | 248 |
| 4 | 318 | 248 |
| 5 | 497 | 248 |
| 6 | 868 | 248 |
| 7 | 1729 | 248 |
| 8 | 2640 | 244 |
| 9 | 3302 | 244 |
| 10 | 3751 | 244 |
| 11 | 4008 | 244 |
| 12 | 4040 | 244 |
| 13 | 4040 | 244 |
| 14 | 4040 | 244 |
| 15 | 4071 | 244 |
| 16 | 4160 | 244 |
| 17 | 4186 | 244 |
| 0 | 4186 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) |
(neg.f64 x) |
x |
(/.f64 z y) |
z |
y |
#s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
x |
y |
| Outputs |
|---|
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fabs.f64 (-.f64 (*.f64 (/.f64 z y) x) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) z #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) |
(neg.f64 x) |
x |
(/.f64 z y) |
z |
y |
#s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 z #s(literal 1 binary64)) x) | |
| accuracy | 2.869156508968271 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) | |
| accuracy | 25.82280095109549 | #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) | |
| accuracy | 4.109849223971045 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| accuracy | 38.44104284778948 | #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) | |
| accuracy | 2.869156508968271 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y) | |
| accuracy | 39.78285194889382 | #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) | |
| accuracy | 0 | (-.f64 #s(literal -4 binary64) x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) | |
| accuracy | 2.869156508968271 | (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) | |
| accuracy | 22.997967687450128 | #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) | |
| accuracy | 2.183509254667193 | (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) | |
| accuracy | 28.68926608579868 | #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) |
| 65.0ms | 256× | 0 | valid |
Compiled 184 to 32 computations (82.6% saved)
ival-div: 21.0ms (43% of total)ival-add: 9.0ms (18.4% of total)ival-sub: 7.0ms (14.3% of total)ival-mult: 6.0ms (12.3% of total)ival-fabs: 3.0ms (6.1% of total)ival-neg: 2.0ms (4.1% 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 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) (patch (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) (patch #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -4 binary64) x) (patch (-.f64 #s(literal -4 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (patch #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 z #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) (taylor 0 z) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) (patch (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ 1 y)) (/ x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) (patch (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) (patch (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) (patch (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) (patch (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z 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 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 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 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 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 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 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 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) (patch #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (neg x) (/ z y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (* (/ (neg z) y) x) (/ (neg z) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x) (/ (+ 4 x) y) (neg z)) |
| 3.0ms | y | @ | -inf | ((fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (neg x) (/ z y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (* (/ (neg z) y) x) (/ (neg z) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x) (/ (+ 4 x) y) (neg z)) |
| 2.0ms | x | @ | -inf | ((fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (neg x) (/ z y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (* (/ (neg z) y) x) (/ (neg z) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x) (/ (+ 4 x) y) (neg z)) |
| 2.0ms | z | @ | inf | ((fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (neg x) (/ z y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (* (/ (neg z) y) x) (/ (neg z) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x) (/ (+ 4 x) y) (neg z)) |
| 2.0ms | x | @ | inf | ((fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (neg x) (/ z y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (* (/ (neg z) y) x) (/ (neg z) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x) (/ (+ 4 x) y) (neg z)) |
| 1× | egg-herbie |
| 6 020× | lower-fma.f64 |
| 6 020× | lower-fma.f32 |
| 2 756× | lower-*.f64 |
| 2 756× | lower-*.f32 |
| 1 086× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 5841 |
| 1 | 452 | 4685 |
| 2 | 1221 | 4538 |
| 3 | 3182 | 4515 |
| 4 | 6618 | 4515 |
| 0 | 8035 | 4131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(+ (* 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))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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)) |
(* -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 (/ (- (* 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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)) |
(* -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)) |
(* -1 x) |
(+ (* -1 x) (* x z)) |
(+ (* -1 x) (* x z)) |
(+ (* -1 x) (* x z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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) 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 (/ (- (* 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)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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) 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) |
(* z (+ x (* -1 (/ x z)))) |
(* z (+ x (* -1 (/ x z)))) |
(* z (+ x (* -1 (/ x z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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) 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 (/ (- (* 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 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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) 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) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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 (/ (- (* 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) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ (+ 4 (+ x (* -1 (* x z)))) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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 (/ (- (* 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) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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 (/ (- (* 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)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -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) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(/ (+ 4 x) y) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(/ 4 y) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(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 (/ (- (* 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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) |
(* x (- z 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(/ 4 y) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(+ (* 4 (/ 1 y)) (/ x y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(* 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) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(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 (/ (- (* 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))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -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)) |
(/ (* 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 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(* -1 (* x (- (/ z y) (/ 1 y)))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(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 (/ (- (+ (* -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)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x 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)))))) |
(* x (- z 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(* x (- z 1)) |
(/ x y) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))) |
| Outputs |
|---|
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x 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) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z 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)) |
(/.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 (/ (- (* 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)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z 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) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) 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)) |
(/.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)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x z)) |
(fma.f64 z x (neg.f64 x)) |
(+ (* -1 x) (* x z)) |
(fma.f64 z x (neg.f64 x)) |
(+ (* -1 x) (* x z)) |
(fma.f64 z x (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z))))) |
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(/.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 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) 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)) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
-4 |
#s(literal -4 binary64) |
(- (* x (- z 1)) 4) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x (- z 1)) 4) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(- (* x (- z 1)) 4) |
(fma.f64 z x (-.f64 #s(literal -4 binary64) x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(/ 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) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)) |
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(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(/ (* x (- z 1)) y) |
(/.f64 (fma.f64 z x (neg.f64 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)))))) |
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(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 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 (/ (- (* 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 (fma.f64 z x (neg.f64 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)) |
(fma.f64 z x (neg.f64 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)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z 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 #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) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) 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 1)) y) |
(/.f64 (fma.f64 z x (neg.f64 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)) |
(fma.f64 z x (neg.f64 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)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(/ 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) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y)))) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(* -1 (* x (- (/ z y) (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(* -1 (* x (- (/ 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) (+ (/ 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) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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 (fma.f64 z x (neg.f64 x)) y) |
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
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(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))) |
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(* -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)))) |
(fma.f64 z x (neg.f64 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 (/ (- (+ (* -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 (fma.f64 z x (neg.f64 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)))) |
(fma.f64 z x (neg.f64 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 #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) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(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 (fma.f64 z x (neg.f64 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)))) |
(fma.f64 z x (neg.f64 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 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(* x (- z 1)) |
(fma.f64 z x (neg.f64 x)) |
(/ 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) |
| 6 294× | lower-fma.f32 |
| 6 292× | lower-fma.f64 |
| 5 526× | lower-/.f32 |
| 5 514× | lower-/.f64 |
| 3 812× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 225 |
| 0 | 59 | 225 |
| 1 | 243 | 225 |
| 2 | 1843 | 221 |
| 0 | 8417 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y))) |
(neg.f64 x) |
(/.f64 z y) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) |
(-.f64 #s(literal -4 binary64) x) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y) |
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
#s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 13 398 to 1 836 computations (86.3% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 107 | 2 | 1 109 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 108 | 14 | 1 122 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.5% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
| ✓ | 78.0% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
| ✓ | 95.5% | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| ▶ | 75.8% | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
| 69.4% | (fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 z x) (-.f64 #s(literal -4 binary64) x))))) | |
| ✓ | 68.6% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| ✓ | 56.1% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
| ✓ | 36.3% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| ▶ | 29.3% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
| ▶ | 59.6% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
| ▶ | 42.7% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
| ▶ | 42.2% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
| ✓ | 39.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
| ✓ | 44.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
Compiled 190 to 175 computations (7.9% 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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| cost-diff | 384 | (/.f64 (neg.f64 z) (/.f64 y x)) | |
| cost-diff | 0 | (-.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 z (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) | |
| cost-diff | 0 | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| cost-diff | 0 | #s(approx (- -4 x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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 |
| 768× | lower-*.f32 |
| 764× | lower-*.f64 |
| 676× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 240 |
| 0 | 53 | 240 |
| 1 | 86 | 240 |
| 2 | 128 | 240 |
| 3 | 206 | 240 |
| 4 | 306 | 238 |
| 5 | 497 | 236 |
| 6 | 1012 | 236 |
| 7 | 2076 | 236 |
| 8 | 2911 | 236 |
| 9 | 3385 | 236 |
| 10 | 3656 | 236 |
| 11 | 3775 | 236 |
| 12 | 3829 | 236 |
| 13 | 3837 | 236 |
| 14 | 3847 | 236 |
| 15 | 3867 | 236 |
| 16 | 3875 | 236 |
| 0 | 3875 | 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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) |
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) |
#s(approx (- -4 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) |
(*.f64 z (/.f64 x y)) |
z |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) |
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) |
#s(approx (- -4 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 x) y) z))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) | |
| accuracy | 3.740399031611727 | (/.f64 (neg.f64 z) (/.f64 y x)) | |
| accuracy | 38.44104284778948 | #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) | |
| accuracy | 0 | (-.f64 z #s(literal 1 binary64)) | |
| accuracy | 0 | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) | |
| accuracy | 1.4410170319981095 | (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) | |
| accuracy | 25.666546540593522 | #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) | |
| accuracy | 3.368469897714219 | (*.f64 z (/.f64 x y)) | |
| accuracy | 38.44104284778948 | #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) | |
| accuracy | 2.869156508968271 | (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) | |
| accuracy | 22.997967687450128 | #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) | |
| accuracy | 33.80984289294986 | #s(approx (- -4 x) (neg.f64 x)) | |
| 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 | 2.869156508968271 | (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y) | |
| accuracy | 28.840726216744077 | #s(approx (- -4 x) #s(literal -4 binary64)) |
| 56.0ms | 256× | 0 | valid |
Compiled 171 to 26 computations (84.8% saved)
ival-div: 10.0ms (35.7% of total)ival-sub: 6.0ms (21.4% of total)ival-mult: 5.0ms (17.8% of total)ival-fabs: 3.0ms (10.7% of total)ival-add: 2.0ms (7.1% of total)ival-neg: 2.0ms (7.1% 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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (patch #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- -4 x) (neg.f64 x)) (patch #s(approx (- -4 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) (patch (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z #s(literal 1 binary64)) (patch (-.f64 z #s(literal 1 binary64)) #<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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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 (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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)) #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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)) #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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)) #s(approx (- -4 x) (neg.f64 x))) y)) (patch (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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)) #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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)) #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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)) #s(approx (- -4 x) (neg.f64 x))) y) (patch (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (patch #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (patch #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (patch #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x z) (+ 4 x)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (patch #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- (* x z) (+ 4 x)) y)) (taylor 0 z) (#s(alt (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) (patch (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 4 x) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) (patch #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) (patch (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) (patch (fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) (patch #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (- z 1) (/ x y)) (- z 1) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (neg z)) |
| 4.0ms | x | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (- z 1) (/ x y)) (- z 1) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (neg z)) |
| 2.0ms | y | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (- z 1) (/ x y)) (- z 1) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (neg z)) |
| 2.0ms | z | @ | -inf | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (- z 1) (/ x y)) (- z 1) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (neg z)) |
| 2.0ms | y | @ | 0 | ((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (- z 1) (/ x y)) (- z 1) (/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (/ z (/ y x)))) (- (/ (+ x 4) y) (/ z (/ y x))) (neg z)) |
| 1× | egg-herbie |
| 5 654× | lower-fma.f64 |
| 5 654× | lower-fma.f32 |
| 2 626× | lower-*.f64 |
| 2 626× | lower-*.f32 |
| 1 278× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 5068 |
| 1 | 405 | 4499 |
| 2 | 1151 | 4437 |
| 3 | 3167 | 4435 |
| 4 | 6962 | 4435 |
| 0 | 8140 | 4069 |
| 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 (/ (- (* 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 (/ (- (* 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)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* 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)) |
(* -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 (/ x y)) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
-1 |
(- z 1) |
(- z 1) |
(- z 1) |
(* -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 (/ (- (* 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 (/ (- (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* 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) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ x (* y z))) (/ x y))) |
(* z (+ (* -1 (/ x (* y z))) (/ x y))) |
(* z (+ (* -1 (/ x (* y z))) (/ x y))) |
z |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 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)) |
(* 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 (/ (- (* 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 (/ (- (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* 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) 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) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ x (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ x (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ x (* y z))))) |
z |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -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 (/ (- (* 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 (/ (- (* 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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- 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))) |
(/ (- (+ 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 (/ (- (* 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 (/ (- (* 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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- 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))) |
(/ (- (+ 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 (/ (- (* 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 (/ (- (* 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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- 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 (/ (- (* -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 (/ (- (* 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 (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(/ -4 y) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- 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))) |
(/ 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 (/ (- (* 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 (/ (- (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- 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))) |
(* 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 (/ (- (+ (* -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 (/ (- (+ (* -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))))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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))))))) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) y) |
(/ (* x (- z 1)) 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 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* -1 (+ 4 x)) |
(-.f64 #s(literal -4 binary64) x) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* -1 (+ 4 x)) |
(-.f64 #s(literal -4 binary64) x) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x z) (+ 4 x)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(* -1 (/ (+ 4 x) y)) |
(/.f64 (-.f64 #s(literal -4 binary64) x) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x) |
(+ (* -1 (/ x y)) (/ (* x z) y)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x) |
-1 |
#s(literal -1 binary64) |
(- z 1) |
(-.f64 z #s(literal 1 binary64)) |
(- z 1) |
(-.f64 z #s(literal 1 binary64)) |
(- z 1) |
(-.f64 z #s(literal 1 binary64)) |
(* -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 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) 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 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (/ (- (* x z) (+ 4 x)) y)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(* z (+ x (* -1 (/ (+ 4 x) z)))) |
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(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) x) |
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(*.f64 (/.f64 (neg.f64 z) y) 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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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(/ (* 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 z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(*.f64 (/.f64 (neg.f64 z) y) 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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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
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(/ (- (* x z) (+ 4 x)) y) |
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(/ (- (* x z) (+ 4 x)) y) |
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(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
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(- (* x (- z 1)) 4) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x (- z 1)) 4) |
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#s(literal -4 binary64) |
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(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
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(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y))) |
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-4 |
#s(literal -4 binary64) |
(- (* x (- z 1)) 4) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x (- z 1)) 4) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
(- (* x (- z 1)) 4) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
(- (* -1 x) 4) |
(-.f64 #s(literal -4 binary64) x) |
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(/ -4 y) |
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(*.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 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)) |
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y)))) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) 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) |
| 5 712× | lower-/.f32 |
| 5 702× | lower-/.f64 |
| 5 474× | lower-fma.f32 |
| 5 472× | lower-fma.f64 |
| 3 934× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 216 |
| 0 | 53 | 216 |
| 1 | 212 | 212 |
| 2 | 1749 | 212 |
| 0 | 8451 | 205 |
| 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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) |
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) |
#s(approx (- -4 x) (neg.f64 x)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x y) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)) |
(-.f64 z #s(literal 1 binary64)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
#s(approx (- (/ (+ x 4) y) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x))) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 14 621 to 2 210 computations (84.9% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 4 | 1 194 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 6 | 8 |
| Total | 1 194 | 14 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (*.f64 (fabs.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 96.5% | (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
| ✓ | 95.5% | (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
| ✓ | 75.8% | (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
| 60.7% | (fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 #s(approx (- -4 x) #s(literal -4 binary64)) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 x z) #s(approx (- -4 x) #s(literal -4 binary64)))))) | |
| ✓ | 68.6% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) |
| ✓ | 56.1% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
| ✓ | 36.3% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| ✓ | 29.3% | (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
| 42.2% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))) | |
| 39.1% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) | |
| ✓ | 59.6% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
| ✓ | 42.7% | (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
| ✓ | 44.1% | (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
Compiled 366 to 230 computations (37.2% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (fabs.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 #s(approx (- -4 x) #s(literal -4 binary64)) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 x z) #s(approx (- -4 x) #s(literal -4 binary64)))))) |
(fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 z x) (-.f64 #s(literal -4 binary64) x))))) |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))) |
5 calls:
| 14.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 10.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 10.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
| 99.9% | 2 | y |
| 98.7% | 2 | z |
| 99.0% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 99.0% | 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)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (fabs.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| Outputs |
|---|
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
1 calls:
| 44.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 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) (/ z (/ y x))) (/.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (fabs.f64 (fma.f64 x z #s(approx (- -4 x) #s(literal -4 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (-.f64 (/.f64 #s(approx (+ x 4) #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) #s(approx (/ (+ 4 x) y) (/.f64 #s(literal 4 binary64) y)))) |
| 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)) |
5 calls:
| 25.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 11.0ms | z |
| 10.0ms | x |
| 6.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
| 98.1% | 2 | z |
| 95.5% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 97.4% | 2 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 95.5% | 1 | y |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y)))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)) |
| 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)))) |
2 calls:
| 18.0ms | z |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 4 | z |
| 99.3% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(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) (/ z (/ y x))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 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 x #s(literal -4 binary64)) y))) |
(fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) |
5 calls:
| 5.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 4.0ms | z |
| 4.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 4 | z |
| 78.7% | 2 | y |
| 81.5% | 3 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 82.2% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 85.0% | 4 | x |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)) |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) |
1 calls:
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 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 #s(literal -4 binary64) x)) y)) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
5 calls:
| 3.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 1 | y |
| 68.6% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 68.6% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 68.6% | 1 | x |
| 68.6% | 1 | z |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) |
5 calls:
| 3.0ms | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 2.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | y |
| 68.1% | 3 | x |
| 44.1% | 1 | z |
| 52.4% | 2 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 59.1% | 3 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) 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)) (/.f64 #s(literal 4 binary64) y))) |
| Outputs |
|---|
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
4 calls:
| 2.0ms | x |
| 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 | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | z |
| 44.1% | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))) |
| 44.1% | 1 | (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)) |
| 44.1% | 1 | x |
Compiled 25 to 25 computations (0% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.3786160449476143e+47 | 3.2307427289712193e+47 |
| 5.0ms | 80× | 0 | valid |
Compiled 120 to 116 computations (3.3% saved)
ival-div: 1.0ms (34.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.998663739807042e+102 | 6.0561463350995e+105 |
| 6.0ms | 96× | 0 | valid |
Compiled 141 to 136 computations (3.5% saved)
ival-div: 1.0ms (27.7% of total)ival-add: 1.0ms (27.7% of total)ival-mult: 1.0ms (27.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -6.7744040834566235e+25 | -1.0379228858066949e+22 |
| 1.0ms | 16× | 0 | valid |
Compiled 33 to 35 computations (-6.1% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 3.3240061974804636e-17 | 0.0032288780566909646 |
| 15.0ms | -85184179.66157727 | -423.1376943563966 |
| 35.0ms | 304× | 0 | valid |
Compiled 338 to 377 computations (-11.5% saved)
ival-mult: 17.0ms (61.6% of total)ival-div: 5.0ms (18.1% of total)ival-add: 2.0ms (7.3% of total)ival-sub: 1.0ms (3.6% of total)ival-fabs: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.8874238105268814e-13 | 6.566709230153953e-10 |
| 9.0ms | -1.0896736498656053e+20 | -10466375709153665000.0 |
| 36.0ms | -1.865988751176688e+154 | -4.2531896179209485e+151 |
| 21.0ms | 352× | 0 | valid |
Compiled 345 to 404 computations (-17.1% saved)
ival-div: 5.0ms (39.1% of total)ival-add: 2.0ms (15.6% of total)ival-mult: 2.0ms (15.6% of total)ival-fabs: 2.0ms (15.6% of total)ival-sub: 1.0ms (7.8% 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 |
|---|---|---|
| 17.0ms | 5.651347761218672e+62 | 2.51738868708404e+74 |
| 20.0ms | -4.2531896179209485e+151 | -4.74808566727745e+137 |
| 25.0ms | 320× | 0 | valid |
Compiled 295 to 356 computations (-20.7% saved)
ival-add: 6.0ms (35.2% of total)ival-div: 4.0ms (23.4% of total)ival-mult: 2.0ms (11.7% of total)ival-fabs: 2.0ms (11.7% of total)ival-sub: 1.0ms (5.9% 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 |
|---|---|---|
| 15.0ms | 0.0032288780566909646 | 88827821830156.7 |
| 97.0ms | -423.1376943563966 | -1.1516205243322297e-8 |
| 19.0ms | 320× | 0 | valid |
Compiled 255 to 356 computations (-39.6% saved)
ival-div: 4.0ms (35% of total)ival-add: 2.0ms (17.5% of total)ival-mult: 2.0ms (17.5% of total)ival-fabs: 2.0ms (17.5% of total)ival-sub: 1.0ms (8.8% 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 |
| 30× | +-commutative-binary64-+.f64 |
| 28× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 22× | *-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 | 88 | 360 |
| 1 | 116 | 360 |
| 2 | 139 | 360 |
| 3 | 156 | 360 |
| 4 | 169 | 360 |
| 5 | 177 | 360 |
| 6 | 180 | 360 |
| 7 | 181 | 360 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 139999999999999993968972264119665375280415899648 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))) |
(if (<=.f64 y #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))) |
(if (<=.f64 x #s(literal -50000000000000002382364672 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 -430 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 7378697629483821/2305843009213693952 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 -18499999999999999715961885446765298308887129624697337504489760974520703923072603105583528916399689873950520034159321960044454693935174732595173768017477632 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal -10500000000000000000 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 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 -519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 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 -21/2 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 139999999999999993968972264119665375280415899648 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))) |
(if (<=.f64 y #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))) |
(if (<=.f64 y #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))) |
(if (<=.f64 x #s(literal -50000000000000002382364672 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 -430 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 7378697629483821/2305843009213693952 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 -18499999999999999715961885446765298308887129624697337504489760974520703923072603105583528916399689873950520034159321960044454693935174732595173768017477632 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal -10500000000000000000 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 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 -18499999999999999715961885446765298308887129624697337504489760974520703923072603105583528916399689873950520034159321960044454693935174732595173768017477632 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z #s(literal -10500000000000000000 binary64)) (fabs.f64 (/.f64 (fma.f64 z x #s(approx (- -4 x) #s(literal -4 binary64))) y)) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 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 -519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))))) |
(if (<=.f64 z #s(literal -519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z #s(literal 224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z))))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))) |
(if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.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 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)))) |
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) |
| 7 916× | lower-fma.f64 |
| 7 916× | lower-fma.f32 |
| 6 220× | lower-fma.f64 |
| 6 220× | lower-fma.f32 |
| 6 020× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 5685 |
| 1 | 426 | 4616 |
| 2 | 1159 | 4322 |
| 3 | 3124 | 4276 |
| 4 | 6559 | 4276 |
| 0 | 8034 | 3928 |
| 0 | 61 | 1300 |
| 1 | 191 | 1300 |
| 2 | 460 | 1164 |
| 3 | 1268 | 988 |
| 4 | 3589 | 988 |
| 5 | 7420 | 988 |
| 0 | 8345 | 922 |
| 0 | 142 | 5841 |
| 1 | 452 | 4685 |
| 2 | 1221 | 4538 |
| 3 | 3182 | 4515 |
| 4 | 6618 | 4515 |
| 0 | 8035 | 4131 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 69 | 32 |
| 2 | 573 | 32 |
| 0 | 8708 | 31 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 422 to 259 computations (38.6% saved)
Compiled 506 to 208 computations (58.9% saved)
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