
Time bar (total: 8.0s)
| 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 |
| 0% | 0% | 99.9% | 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 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 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 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 478.0ms | 8 256× | 0 | valid |
ival-div: 58.0ms (26.4% of total)ival-mult: 54.0ms (24.6% of total)ival-sub: 50.0ms (22.8% of total)ival-add: 44.0ms (20.1% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 y z) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | o/n | 35 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 0 |
| - | 0 | 221 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 0 |
| - | 0 | 0 | 221 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-mult: 4.0ms (28.5% of total)ival-sub: 3.0ms (21.4% of total)ival-div: 3.0ms (21.4% of total)ival-add: 2.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 92 |
| 1 | 135 | 86 |
| 2 | 419 | 83 |
| 3 | 1826 | 81 |
| 4 | 5081 | 81 |
| 5 | 7500 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 57 | 9 |
| 3 | 147 | 9 |
| 4 | 333 | 9 |
| 5 | 750 | 9 |
| 6 | 1629 | 9 |
| 7 | 2866 | 9 |
| 8 | 4292 | 9 |
| 9 | 5087 | 9 |
| 10 | 5604 | 9 |
| 11 | 5681 | 9 |
| 12 | 5711 | 9 |
| 13 | 5715 | 9 |
| 14 | 5807 | 9 |
| 15 | 5993 | 9 |
| 16 | 6027 | 9 |
| 17 | 6043 | 9 |
| 18 | 6147 | 9 |
| 19 | 6453 | 9 |
| 20 | 6465 | 9 |
| 21 | 6465 | 9 |
| 0 | 8603 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(negabs x)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.0% | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | |
| cost-diff | 128 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 57 | 28 |
| 3 | 147 | 28 |
| 4 | 333 | 28 |
| 5 | 750 | 28 |
| 6 | 1629 | 28 |
| 7 | 2866 | 28 |
| 8 | 4292 | 28 |
| 9 | 5087 | 28 |
| 10 | 5604 | 28 |
| 11 | 5681 | 28 |
| 12 | 5711 | 28 |
| 13 | 5715 | 28 |
| 14 | 5807 | 28 |
| 15 | 5993 | 28 |
| 16 | 6027 | 28 |
| 17 | 6043 | 28 |
| 18 | 6147 | 28 |
| 19 | 6453 | 28 |
| 20 | 6465 | 28 |
| 21 | 6465 | 28 |
| 0 | 8603 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y z) x x) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 8.311824659416537 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (32.6% of total)ival-mult: 2.0ms (32.6% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% 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 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- 1 z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | z | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | z | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1× | egg-herbie |
| 7 342× | lower-fma.f64 |
| 7 342× | lower-fma.f32 |
| 2 540× | lower-*.f64 |
| 2 540× | lower-*.f32 |
| 1 510× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 3 876× | lower-*.f32 |
| 3 874× | lower-*.f64 |
| 3 848× | lower-fma.f64 |
| 3 848× | lower-fma.f32 |
| 3 200× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal -1 binary64))) (fma.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z)))) (+.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) (-.f64 y z))))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (-.f64 y z) (-.f64 y z))))) |
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x)) |
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (*.f64 (-.f64 (+.f64 z y) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 x (*.f64 (-.f64 y z) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (+.f64 z y) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (-.f64 y z))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (*.f64 (-.f64 y z) x) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x))) |
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(neg.f64 (neg.f64 (-.f64 y z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (*.f64 (+.f64 z y) z) (*.f64 (+.f64 z y) z)) (*.f64 (+.f64 z y) z)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 y y) y))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 y z) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 10 642 to 1 391 computations (86.9% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 483 | 10 | 493 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 484 | 10 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 57.9% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) | |
| ▶ | 54.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 36.1% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| 86.8% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x))) | |
| ▶ | 97.6% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 87.1% | (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| 68.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 35.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ▶ | 44.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 204 to 122 computations (40.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (fma.f64 (-.f64 y z) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 3 944× | lower-fma.f32 |
| 3 940× | lower-fma.f64 |
| 1 514× | lower-*.f32 |
| 1 510× | lower-*.f64 |
| 1 350× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 122 |
| 0 | 36 | 117 |
| 1 | 70 | 117 |
| 2 | 105 | 117 |
| 3 | 220 | 117 |
| 4 | 427 | 117 |
| 5 | 1096 | 117 |
| 6 | 3278 | 117 |
| 7 | 4153 | 117 |
| 8 | 4789 | 117 |
| 9 | 4876 | 117 |
| 10 | 4885 | 117 |
| 11 | 4895 | 117 |
| 12 | 5488 | 117 |
| 13 | 6535 | 117 |
| 14 | 7061 | 117 |
| 15 | 7214 | 117 |
| 16 | 7256 | 117 |
| 17 | 7256 | 117 |
| 18 | 7527 | 117 |
| 19 | 7904 | 117 |
| 0 | 8097 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x x) |
(fma.f64 x (-.f64 y z) x) |
(-.f64 y z) |
y |
z |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 8.311824659416537 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 8.311824659416537 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| accuracy | 27.58050050753312 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 5.927201569824408 | (*.f64 (/.f64 x z) y) | |
| accuracy | 39.77617830137889 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 35.34923645899767 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.015625 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| accuracy | 1.5063662801902378 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 44.0ms | 256× | 0 | valid |
Compiled 108 to 22 computations (79.6% saved)
ival-div: 8.0ms (33.8% of total)ival-mult: 7.0ms (29.6% of total)ival-add: 3.0ms (12.7% of total)ival-sub: 2.0ms (8.5% of total)ival-neg: 2.0ms (8.5% 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 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 3.0ms | x | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 3.0ms | z | @ | 0 | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 2.0ms | z | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 2.0ms | y | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 1× | egg-herbie |
| 8 638× | lower-fma.f64 |
| 8 638× | lower-fma.f32 |
| 2 858× | lower-*.f64 |
| 2 858× | lower-*.f32 |
| 1 262× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 3285 |
| 1 | 468 | 2655 |
| 2 | 1430 | 2645 |
| 3 | 4046 | 2645 |
| 4 | 7074 | 2645 |
| 0 | 8061 | 2407 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (+ 1 y)) z) |
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(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
| 5 012× | lower-fma.f32 |
| 5 008× | lower-fma.f64 |
| 3 798× | lower-*.f32 |
| 3 794× | lower-*.f64 |
| 3 642× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 36 | 100 |
| 1 | 151 | 100 |
| 2 | 1005 | 100 |
| 0 | 8613 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z (fma.f64 x (-.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 x (-.f64 y z) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))) z) (/.f64 (fma.f64 x (-.f64 y z) x) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 z (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 z (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) (neg.f64 x)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x))) z) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 y z) (neg.f64 x)) z))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (-.f64 y z) (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x (-.f64 y z) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))) z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z)))))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 y z) x) z) (/.f64 (fma.f64 x (-.f64 y z) (neg.f64 x)) (fma.f64 x (-.f64 y z) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 y z) x) z)) |
(*.f64 x (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)) |
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(/.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64))) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x (-.f64 y z)) (-.f64 y z)))) (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 y z) x) (fma.f64 (neg.f64 x) (-.f64 y z) x)) (fma.f64 (neg.f64 x) (-.f64 y z) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 y z) x))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (-.f64 y z)) (-.f64 y z) (neg.f64 x))) (fma.f64 x (-.f64 y z) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z)))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 x (-.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 x (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (*.f64 x (-.f64 x (*.f64 (*.f64 x (-.f64 y z)) (-.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) x)))) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x)) |
(fma.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) (/.f64 #s(literal 1 binary64) (+.f64 z y)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) x) |
(fma.f64 (*.f64 x (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) x) |
(fma.f64 (*.f64 x (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 z) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (fma.f64 x y x) (fma.f64 (neg.f64 x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (fma.f64 x y x) (fma.f64 (neg.f64 x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)) (*.f64 x (neg.f64 z))) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 x y)))))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 x y)))))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 x))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 x))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 x y))))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 x y))))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (-.f64 y z) (neg.f64 x))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (-.f64 y z))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (*.f64 (neg.f64 z) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (*.f64 x (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (-.f64 y z))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) x)) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 z))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) x) |
(fma.f64 x y (fma.f64 (neg.f64 z) x x)) |
(fma.f64 x y (fma.f64 x (neg.f64 z) x)) |
(fma.f64 x y (*.f64 (-.f64 (neg.f64 z) #s(literal -1 binary64)) x)) |
(fma.f64 x y (*.f64 x (-.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (-.f64 y z))) |
(fma.f64 (-.f64 y z) x x) |
(fma.f64 y x (fma.f64 (neg.f64 z) x x)) |
(fma.f64 y x (fma.f64 x (neg.f64 z) x)) |
(fma.f64 y x (*.f64 (-.f64 (neg.f64 z) #s(literal -1 binary64)) x)) |
(fma.f64 y x (*.f64 x (-.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) x) (-.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) x) (-.f64 y z)) (fma.f64 x (-.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 y z) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x)) x) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) x) (-.f64 y z)) (fma.f64 x (-.f64 y z) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (-.f64 y z) (neg.f64 x))))) |
(+.f64 (*.f64 x y) (fma.f64 (neg.f64 z) x x)) |
(+.f64 (*.f64 x y) (fma.f64 x (neg.f64 z) x)) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 (neg.f64 z) #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (-.f64 y z)) x) |
(+.f64 (fma.f64 x y x) (*.f64 (neg.f64 z) x)) |
(+.f64 (fma.f64 x y x) (*.f64 x (neg.f64 z))) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x))) |
(+.f64 x (*.f64 x (-.f64 y z))) |
Compiled 18 880 to 1 950 computations (89.7% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 162 | 6 | 1 168 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 167 | 11 | 1 178 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 57.9% | (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) | |
| ▶ | 36.1% | (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
| ✓ | 54.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ▶ | 54.1% | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| 87.1% | (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| ▶ | 97.6% | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
| ▶ | 35.6% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ▶ | 68.7% | #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 35.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 44.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 182 to 108 computations (40.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* (- y z) x) x) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
| 4 320× | lower-fma.f64 |
| 4 320× | lower-fma.f32 |
| 2 344× | lower-/.f32 |
| 2 334× | lower-/.f64 |
| 2 128× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 153 |
| 0 | 41 | 153 |
| 1 | 67 | 153 |
| 2 | 105 | 153 |
| 3 | 190 | 153 |
| 4 | 350 | 153 |
| 5 | 907 | 153 |
| 6 | 1894 | 153 |
| 7 | 4180 | 153 |
| 8 | 4885 | 153 |
| 9 | 5177 | 153 |
| 10 | 5296 | 153 |
| 11 | 5378 | 153 |
| 12 | 6044 | 153 |
| 13 | 6557 | 153 |
| 14 | 6890 | 153 |
| 15 | 7148 | 153 |
| 16 | 7161 | 153 |
| 17 | 7173 | 153 |
| 18 | 7185 | 153 |
| 19 | 7231 | 153 |
| 20 | 7365 | 153 |
| 21 | 7365 | 153 |
| 0 | 8525 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
#s(approx (+ (* (- y z) x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) z) |
#s(approx (+ (* (- y z) x) x) (*.f64 y x)) |
#s(approx (+ (* (- y z) x) x) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) | |
| accuracy | 1.5063662801902378 | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) | |
| accuracy | 28.20096296873314 | #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 8.311824659416537 | (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) | |
| accuracy | 39.821058361918354 | #s(approx (+ (* (- y z) x) x) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 1.5063662801902378 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| accuracy | 40.410864713933606 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x z) x) | |
| accuracy | 20.049271528657247 | #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0 | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 1.5063662801902378 | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
| 66.0ms | 256× | 0 | valid |
Compiled 121 to 23 computations (81% saved)
ival-add: 23.0ms (43.8% of total)ival-sub: 12.0ms (22.8% of total)ival-div: 11.0ms (20.9% of total)ival-mult: 6.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) (patch (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) (patch (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) (patch (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) (patch (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 y) z) (taylor inf z) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1)) |
| 2.0ms | x | @ | -inf | ((* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1)) |
| 2.0ms | y | @ | -inf | ((* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1)) |
| 2.0ms | z | @ | -inf | ((* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1)) |
| 2.0ms | x | @ | inf | ((* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1)) |
| 1× | egg-herbie |
| 8 458× | lower-fma.f64 |
| 8 458× | lower-fma.f32 |
| 3 088× | lower-*.f64 |
| 3 088× | lower-*.f32 |
| 1 228× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 3393 |
| 1 | 401 | 2826 |
| 2 | 1270 | 2774 |
| 3 | 3871 | 2774 |
| 4 | 6800 | 2774 |
| 0 | 8132 | 2582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* x (- (/ 1 z) 1)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(- (/ 1 z) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ 1 z) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ 1 z) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
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(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 5 246× | lower-/.f32 |
| 5 236× | lower-/.f64 |
| 4 508× | lower-*.f32 |
| 4 500× | lower-*.f64 |
| 3 570× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 137 |
| 0 | 41 | 137 |
| 1 | 177 | 137 |
| 2 | 1340 | 137 |
| 0 | 8422 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
#s(approx (+ (* (- y z) x) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)) x) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))) (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
(+.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (neg.f64 x)) |
(+.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (*.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)))) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))) (+.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) z)) |
(pow.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (*.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y))) (neg.f64 z)) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (*.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* (- y z) x) x) (*.f64 x y)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y))) z)) |
(neg.f64 (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 x y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (*.f64 x y)))) #s(literal -1 binary64))) |
#s(approx (+ (* (- y z) x) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) z)) |
(*.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z)) |
(pow.f64 (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) x) (neg.f64 z)) |
(/.f64 (*.f64 x (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x) z) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x)))) |
(/.f64 x (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 x (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z)) |
(pow.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (neg.f64 z)) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) z)) |
(neg.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 y #s(literal -1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
Compiled 11 408 to 1 216 computations (89.3% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 3 | 836 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 835 | 12 | 847 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
| ✓ | 87.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ▶ | 57.9% | (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
| ✓ | 36.1% | (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
| ✓ | 54.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 54.1% | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| ▶ | 77.7% | (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
| ✓ | 35.6% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ✓ | 68.7% | #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
| ▶ | 26.0% | #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| ✓ | 35.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 44.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 116 to 67 computations (42.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 y #s(literal -1 binary64)) z) | |
| cost-diff | 128 | (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (+ 1 y) z) (/.f64 y z)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (- (/ x z) x) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| 4 104× | lower-fma.f32 |
| 4 100× | lower-fma.f64 |
| 2 024× | lower-*.f32 |
| 2 022× | lower-*.f64 |
| 1 434× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 126 |
| 0 | 41 | 126 |
| 1 | 70 | 126 |
| 2 | 115 | 126 |
| 3 | 234 | 126 |
| 4 | 512 | 126 |
| 5 | 1612 | 126 |
| 6 | 3801 | 126 |
| 7 | 5754 | 126 |
| 8 | 6153 | 126 |
| 9 | 6399 | 126 |
| 10 | 6465 | 126 |
| 11 | 6475 | 126 |
| 12 | 7219 | 126 |
| 13 | 7419 | 126 |
| 14 | 7487 | 126 |
| 15 | 7623 | 126 |
| 16 | 7691 | 126 |
| 17 | 7759 | 126 |
| 0 | 8043 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) |
#s(approx (/ (+ 1 y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(literal 1 binary64) |
x |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x (neg.f64 x)) |
(-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) |
#s(approx (/ (+ 1 y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(literal 1 binary64) |
x |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
(neg.f64 x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 y #s(literal -1 binary64)) z) | |
| accuracy | 1.4907412801902378 | (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) | |
| accuracy | 8.311824659416537 | (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) | |
| accuracy | 30.03372782956306 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) | |
| accuracy | 1.5063662801902378 | (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) | |
| accuracy | 30.65940324912083 | #s(approx (/ (+ 1 y) z) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 20.049271528657247 | #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) | |
| accuracy | 35.79726007125963 | #s(approx (- (/ x z) x) (/.f64 x z)) |
| 74.0ms | 256× | 0 | valid |
Compiled 96 to 24 computations (75% saved)
ival-sub: 40.0ms (65.8% of total)ival-div: 11.0ms (18.1% of total)ival-mult: 5.0ms (8.2% of total)ival-add: 3.0ms (4.9% of total)ival-neg: 2.0ms (3.3% 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 #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 1 y) z) (/.f64 y z)) (patch #s(approx (/ (+ 1 y) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt #s(approx (/ (+ 1 y) z) (/.f64 y z)) (patch #s(approx (/ (+ 1 y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt #s(approx (/ (+ 1 y) z) (/.f64 y z)) (patch #s(approx (/ (+ 1 y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt #s(approx (/ (+ 1 y) z) (/.f64 y z)) (patch #s(approx (/ (+ 1 y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt #s(approx (/ (+ 1 y) z) (/.f64 y z)) (patch #s(approx (/ (+ 1 y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (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>) () ())) ()) |
#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 (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x z) x) (taylor inf z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x z) x) (taylor inf z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x z) x) (taylor inf z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf z) (#s(alt (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 z) (/ y z)) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) (patch (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (neg z) (+ (* (/ (- y -1) z) x) (neg x)) (/ (- y -1) z) (- y -1) (neg x)) |
| 2.0ms | x | @ | -inf | ((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (neg z) (+ (* (/ (- y -1) z) x) (neg x)) (/ (- y -1) z) (- y -1) (neg x)) |
| 2.0ms | z | @ | -inf | ((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (neg z) (+ (* (/ (- y -1) z) x) (neg x)) (/ (- y -1) z) (- y -1) (neg x)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (neg z) (+ (* (/ (- y -1) z) x) (neg x)) (/ (- y -1) z) (- y -1) (neg x)) |
| 1.0ms | y | @ | -inf | ((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (neg z) (+ (* (/ (- y -1) z) x) (neg x)) (/ (- y -1) z) (- y -1) (neg x)) |
| 1× | egg-herbie |
| 10 494× | lower-fma.f64 |
| 10 494× | lower-fma.f32 |
| 3 432× | lower-*.f64 |
| 3 432× | lower-*.f32 |
| 1 380× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 2713 |
| 1 | 408 | 2237 |
| 2 | 1188 | 2237 |
| 3 | 3475 | 2187 |
| 4 | 5953 | 2187 |
| 0 | 8072 | 2032 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 x) |
(- (/ (* x (+ 1 y)) z) x) |
(- (/ (* x (+ 1 y)) z) x) |
(- (/ (* x (+ 1 y)) z) x) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 x) |
(- (/ (* x (+ 1 y)) z) x) |
(- (/ (* x (+ 1 y)) z) x) |
(- (/ (* x (+ 1 y)) z) x) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ 1 y) z) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* x (- (/ 1 z) 1)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(- (/ 1 z) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ 1 z) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(- (/ x z) x) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(/ 1 z) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
(+ (/ 1 z) (/ y z)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 x) |
(neg.f64 x) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 x) |
(neg.f64 x) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ (* x (+ 1 y)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ 1 z) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* -1 (* x z))) |
(fma.f64 (neg.f64 z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (+ (/ x z) (/ (* x y) z)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 (-.f64 y z) x x) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (- (+ (/ x z) (/ x (* y z))) (/ x y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 (-.f64 y z) x x) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (/ x z) x) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 606× | lower-fma.f32 |
| 5 602× | lower-fma.f64 |
| 4 912× | lower-/.f32 |
| 4 904× | lower-/.f64 |
| 3 842× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 114 |
| 0 | 41 | 114 |
| 1 | 187 | 114 |
| 2 | 1453 | 114 |
| 0 | 8354 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) |
#s(approx (/ (+ 1 y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(-.f64 y #s(literal -1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 z)) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x (*.f64 z #s(literal 1 binary64))) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 x x) x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 16 193 to 1 719 computations (89.4% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 953 | 1 | 954 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 8 | 8 |
| Total | 955 | 11 | 966 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 57.9% | (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
| ✓ | 36.1% | (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
| ✓ | 54.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 77.7% | (-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) | |
| ✓ | 54.1% | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| ✓ | 35.6% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ✓ | 68.7% | #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 26.0% | #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| ✓ | 35.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 44.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 261 to 102 computations (60.9% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x)) |
4 calls:
| 37.0ms | y |
| 8.0ms | x |
| 6.0ms | z |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 99.5% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
4 calls:
| 28.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | y |
| 99.9% | 3 | z |
| 97.2% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 92.1% | 2 | x |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x) |
2 calls:
| 5.0ms | z |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 98.3% | 3 | z |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 71.5% | 2 | x |
| 85.9% | 3 | y |
| 86.8% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
2 calls:
| 100.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | y |
| 73.1% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
4 calls:
| 60.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 1 | x |
| 68.7% | 1 | z |
| 68.7% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 68.7% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | y |
| 57.2% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 46.6% | 2 | x |
| 67.0% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | x |
| 44.8% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 44.8% | 1 | z |
Compiled 20 to 14 computations (30% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 9.929614274246937e-122 | 2.858371086404159e-119 |
| 4.0ms | 16× | 0 | valid |
Compiled 40 to 30 computations (25% saved)
ival-sub: 0.0ms (0% of total)ival-div: 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)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1678130.7635039736 | 3743006861.8447633 |
| 6.0ms | 128× | 0 | valid |
Compiled 215 to 142 computations (34% saved)
ival-sub: 1.0ms (31.8% of total)ival-div: 1.0ms (31.8% of total)ival-add: 1.0ms (31.8% of total)ival-mult: 1.0ms (31.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1678130.7635039736 | 3743006861.8447633 |
Compiled 215 to 142 computations (34% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 872546770680177.3 | 133492205444800980.0 |
| 11.0ms | -4.484425759258666e+103 | -3.951235067400836e+101 |
| 10.0ms | 176× | 0 | valid |
Compiled 279 to 175 computations (37.3% saved)
ival-sub: 1.0ms (22.7% of total)ival-div: 1.0ms (22.7% of total)ival-add: 1.0ms (22.7% of total)ival-mult: 1.0ms (22.7% 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 |
|---|---|---|
| 5.0ms | 2.194743739305402e-7 | 3.6655402388387167e-7 |
| 14.0ms | -1114675.1393260984 | -0.0023873424425930683 |
| 12.0ms | 208× | 0 | valid |
Compiled 314 to 192 computations (38.9% saved)
ival-sub: 1.0ms (19.5% of total)ival-div: 1.0ms (19.5% of total)ival-add: 1.0ms (19.5% of total)ival-mult: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.194743739305402e-7 | 3.6655402388387167e-7 |
| 1.0ms | -1114675.1393260984 | -0.0023873424425930683 |
Compiled 314 to 196 computations (37.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 3.47689804583228e+32 | 4.2138540099104425e+42 |
| 10.0ms | -1114675.1393260984 | -0.0023873424425930683 |
| 13.0ms | 288× | 0 | valid |
Compiled 384 to 232 computations (39.6% saved)
ival-sub: 2.0ms (28.5% of total)ival-div: 2.0ms (28.5% of total)ival-mult: 2.0ms (28.5% of total)ival-add: 1.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.30743063403262e+61 | 6.4452131175107335e+66 |
| 8.0ms | -547396096729.48895 | -53807584949.77521 |
| 11.0ms | 240× | 0 | valid |
Compiled 315 to 194 computations (38.4% saved)
ival-div: 2.0ms (34% of total)ival-sub: 1.0ms (17% of total)ival-add: 1.0ms (17% of total)ival-mult: 1.0ms (17% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.30743063403262e+61 | 6.4452131175107335e+66 |
| 0.0ms | -547396096729.48895 | -53807584949.77521 |
Compiled 315 to 194 computations (38.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.30743063403262e+61 | 6.4452131175107335e+66 |
| 0.0ms | -547396096729.48895 | -53807584949.77521 |
| 4.0ms | 96× | 0 | valid |
Compiled 315 to 194 computations (38.4% saved)
ival-sub: 1.0ms (43.4% of total)ival-div: 1.0ms (43.4% of total)ival-mult: 1.0ms (43.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.6655402388387167e-7 | 464.31115902946175 |
| 51.0ms | -4.2141561944527104e-37 | -5.699358440142707e-44 |
| 14.0ms | 288× | 0 | valid |
Compiled 303 to 194 computations (36% saved)
ival-sub: 2.0ms (28% of total)ival-div: 2.0ms (28% of total)ival-mult: 2.0ms (28% of total)ival-add: 1.0ms (14% 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 |
| 26× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 20× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 481 |
| 1 | 119 | 481 |
| 2 | 134 | 481 |
| 3 | 145 | 481 |
| 4 | 147 | 481 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x))) |
(if (<=.f64 x #s(literal 82000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 x #s(literal 82000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 z #s(literal -399999999999999990819805306098134651378737087969660002451998389892797380872315964521304517792604618752 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 20000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 6800207735332289/18889465931478580854784 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 6800207735332289/18889465931478580854784 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x))) |
(if (<=.f64 z #s(literal -3600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 3699999999999999856274429882400768 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2249999999999999923743303598145644915364619429468864459487985008640 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2249999999999999923743303598145644915364619429468864459487985008640 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 540000000000000037820055737061626838709006239377795425064926052352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -2514250496733099/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x (neg.f64 x))) |
(if (<=.f64 x #s(literal 82000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 x #s(literal 82000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 z #s(literal -399999999999999990819805306098134651378737087969660002451998389892797380872315964521304517792604618752 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 20000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 6800207735332289/18889465931478580854784 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (-.f64 (*.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) x) x))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 6800207735332289/18889465931478580854784 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (*.f64 (-.f64 #s(approx (/ (+ 1 y) z) (/.f64 y z)) #s(literal 1 binary64)) x))) |
(if (<=.f64 z #s(literal -3600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 3699999999999999856274429882400768 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2249999999999999923743303598145644915364619429468864459487985008640 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2249999999999999923743303598145644915364619429468864459487985008640 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal -300000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 540000000000000037820055737061626838709006239377795425064926052352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -2514250496733099/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| 8 638× | lower-fma.f64 |
| 8 638× | lower-fma.f32 |
| 8 458× | lower-fma.f64 |
| 8 458× | lower-fma.f32 |
| 7 342× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 0 | 28 | 137 |
| 0 | 41 | 137 |
| 1 | 177 | 137 |
| 2 | 1340 | 137 |
| 0 | 8422 | 134 |
| 0 | 145 | 3285 |
| 1 | 468 | 2655 |
| 2 | 1430 | 2645 |
| 3 | 4046 | 2645 |
| 4 | 7074 | 2645 |
| 0 | 8061 | 2407 |
| 0 | 28 | 114 |
| 0 | 41 | 114 |
| 1 | 187 | 114 |
| 2 | 1453 | 114 |
| 0 | 8354 | 113 |
| 0 | 127 | 3393 |
| 1 | 401 | 2826 |
| 2 | 1270 | 2774 |
| 3 | 3871 | 2774 |
| 4 | 6800 | 2774 |
| 0 | 8132 | 2582 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 0 | 23 | 105 |
| 0 | 36 | 100 |
| 1 | 151 | 100 |
| 2 | 1005 | 100 |
| 0 | 8613 | 100 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 079 to 505 computations (53.2% saved)
(negabs x)
Compiled 754 to 236 computations (68.7% saved)
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