
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 506.0ms | 8 256× | 0 | valid |
ival-sub: 73.0ms (30.7% of total)ival-div: 58.0ms (24.4% of total)ival-mult: 55.0ms (23.1% of total)ival-add: 39.0ms (16.4% of total)ival-true: 6.0ms (2.5% of total)exact: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 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 | 33 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 0 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 0 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-sub: 5.0ms (31.6% of total)ival-div: 4.0ms (25.3% of total)ival-mult: 3.0ms (19% of total)ival-add: 2.0ms (12.7% 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 x (-.f64 y z) x) z) |
(negabs x)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.9% | (/.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 x (-.f64 y z) x) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 x (-.f64 y z) x) |
x |
(+.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 | 0.00390625 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 7.776830912648414 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 74.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (30.6% of total)ival-mult: 2.0ms (30.6% of total)ival-sub: 1.0ms (15.3% of total)ival-add: 1.0ms (15.3% 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) 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)) (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)) (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 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 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) (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 (+ 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 (* -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 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 (/ (* 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)) 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)) 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 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 (/ (* 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 (/ (* 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 (/ (* 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 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 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 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 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 (-.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 (+ 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 (* -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 (-.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 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 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 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 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 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 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>) () ())) ()) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (* x (+ (- y z) 1)) z) |
| 1.0ms | x | @ | 0 | (* x (+ (- y z) 1)) |
| 0.0ms | y | @ | -inf | (* x (+ (- y z) 1)) |
| 0.0ms | z | @ | -inf | (/ (* x (+ (- y z) 1)) z) |
| 0.0ms | x | @ | inf | (/ (* x (+ (- y z) 1)) z) |
| 1× | egg-herbie |
| 7 442× | lower-fma.f64 |
| 7 442× | lower-fma.f32 |
| 2 644× | lower-*.f64 |
| 2 644× | lower-*.f32 |
| 1 508× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 697 |
| 1 | 263 | 697 |
| 2 | 801 | 697 |
| 3 | 2493 | 696 |
| 4 | 5556 | 695 |
| 0 | 8369 | 633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 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 (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -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 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))))) |
(/ (* 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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)) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 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) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
| Outputs |
|---|
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- 1 z)) |
(fma.f64 x (neg.f64 z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 y z) x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 y z) x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 y z) x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
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) |
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) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -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 (+ 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) |
| 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 x (*.f64 x (-.f64 y z))) |
(+.f64 (*.f64 x (-.f64 y z)) x) |
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(+.f64 (*.f64 x y) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(+.f64 (*.f64 x y) (fma.f64 x (neg.f64 z) x)) |
(+.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 y z)))) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 x (neg.f64 z))) |
(+.f64 (+.f64 x (*.f64 x y)) (*.f64 x (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 y z) x))) |
(-.f64 (/.f64 (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z)))) (-.f64 (*.f64 x (-.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 y z)) x))) |
(fma.f64 x y (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 x y (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 x y (fma.f64 x (neg.f64 z) x)) |
(fma.f64 x (-.f64 y z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 y z))) |
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 x (neg.f64 z))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) y) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 y x (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 y x (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 y x (fma.f64 x (neg.f64 z) x)) |
(fma.f64 (-.f64 y z) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (-.f64 y z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) x) x) |
(fma.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (/.f64 x (fma.f64 y y (*.f64 z (+.f64 y z)))) x) |
(fma.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) x) x) |
(fma.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (/.f64 x (+.f64 y z)) x) |
(fma.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) x) |
(fma.f64 (*.f64 (+.f64 y z) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) x) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) x)) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (fma.f64 x (neg.f64 z) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (*.f64 x (-.f64 y z))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (+.f64 y z) (*.f64 (+.f64 y z) (+.f64 y z)))))) (fma.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 y z) (*.f64 x (-.f64 y z))) (*.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 y z) (*.f64 x (-.f64 y z))) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) x) |
(neg.f64 (neg.f64 (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) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (-.f64 y z)) x) (*.f64 (fma.f64 x (-.f64 y z) x) (-.f64 (*.f64 x (-.f64 y z)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) 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 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z)))) (*.f64 x (*.f64 x (-.f64 y z)))))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 y z) x) (-.f64 (*.f64 x (-.f64 y z)) x)) (-.f64 (*.f64 x (-.f64 y z)) x)) |
(/.f64 (fma.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) x) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))) (+.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 y z) (*.f64 (-.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 (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 (*.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 y (+.f64 z #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 y (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
(/.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 (+.f64 y (+.f64 z #s(literal -1 binary64))) (+.f64 (-.f64 y z) #s(literal 1 binary64))) x) (+.f64 y (+.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (-.f64 y z) x) (-.f64 (*.f64 x (-.f64 y z)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 x (-.f64 y z)) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y z) x) (-.f64 (*.f64 x (-.f64 y z)) x))) (neg.f64 (-.f64 (*.f64 x (-.f64 y z)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) x)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y z) (*.f64 x (*.f64 x (-.f64 y z))))) (-.f64 x (*.f64 x (-.f64 y z)))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (-.f64 y z) (*.f64 (-.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)))) |
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(*.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))))) |
(*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (/.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z))))) |
(*.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z))) |
(*.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (+.f64 y z) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) |
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (+.f64 y z))) |
(*.f64 (neg.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))) |
(*.f64 (*.f64 (+.f64 y z) (+.f64 z (neg.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 (-.f64 y z) (+.f64 y z))) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (+.f64 y z) (*.f64 (+.f64 y z) (+.f64 y z)))))) (fma.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
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 |
|---|---|---|
| 87.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| ▶ | 30.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| 59.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) | |
| ▶ | 38.0% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ▶ | 96.7% | (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| 87.7% | (*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) | |
| 95.8% | (*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x) | |
| ▶ | 89.1% | (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 63.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 40.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 208 to 126 computations (39.4% saved)
| 1× | egg-herbie |
Found 17 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 x z) | |
| cost-diff | 128 | (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (- y z) 1) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) | |
| 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 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| cost-diff | 512 | (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| 9 432× | lower-fma.f64 |
| 9 432× | lower-fma.f32 |
| 2 980× | lower-*.f32 |
| 2 974× | lower-*.f64 |
| 1 536× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 131 |
| 0 | 36 | 131 |
| 1 | 67 | 131 |
| 2 | 109 | 131 |
| 3 | 284 | 131 |
| 4 | 613 | 131 |
| 5 | 1152 | 131 |
| 6 | 2671 | 131 |
| 7 | 5062 | 131 |
| 8 | 7907 | 131 |
| 0 | 8147 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
x |
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
z |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
x |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
z |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 x z) |
x |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
x |
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
z |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 #s(approx (+ (- y z) 1) (neg.f64 z)) (/.f64 x z)) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
x |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
z |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/.f64 x z) |
x |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 7.006960856333377 | (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) | |
| accuracy | 7.776830912648414 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| accuracy | 38.00086245507817 | #s(approx (+ (- y z) 1) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 7.776830912648414 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) | |
| accuracy | 38.88512422568928 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 37.92825487996279 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 2.087614823184034 | (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| 31.0ms | 256× | 0 | valid |
Compiled 113 to 17 computations (85% saved)
ival-div: 7.0ms (42.3% of total)ival-mult: 5.0ms (30.2% of total)ival-sub: 2.0ms (12.1% of total)ival-neg: 2.0ms (12.1% of total)ival-add: 1.0ms (6% 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 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<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 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- y z) 1) (neg.f64 z)) (patch #s(approx (+ (- y z) 1) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ z (+ (- y z) 1)) |
| 0.0ms | z | @ | 0 | (/ z (+ (- y z) 1)) |
| 0.0ms | y | @ | 0 | (/ z (+ (- y z) 1)) |
| 0.0ms | z | @ | inf | (/ z (+ (- y z) 1)) |
| 0.0ms | x | @ | -inf | (/ x z) |
| 1× | egg-herbie |
| 11 072× | lower-fma.f64 |
| 11 072× | lower-fma.f32 |
| 5 194× | lower-*.f64 |
| 5 194× | lower-*.f32 |
| 2 870× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 3148 |
| 1 | 620 | 3124 |
| 2 | 1874 | 3039 |
| 3 | 6841 | 3039 |
| 0 | 8342 | 2826 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) 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 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 (- 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) |
(* 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) |
(* -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)))))) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(/ z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 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) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -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) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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 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 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) |
(* 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) |
(* -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 (+ 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 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 (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 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 (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -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 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))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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 (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 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 (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -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 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 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) 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 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 (- 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) |
(* 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) |
(* -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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(/.f64 (-.f64 x (*.f64 x z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
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(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(/.f64 (-.f64 x (*.f64 x z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y)) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 y) z) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(/.f64 (-.f64 x (*.f64 x z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
| 4 070× | lower-*.f32 |
| 4 064× | lower-*.f64 |
| 3 552× | lower-/.f32 |
| 3 542× | lower-/.f64 |
| 3 462× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 109 |
| 0 | 36 | 109 |
| 1 | 123 | 109 |
| 2 | 834 | 109 |
| 0 | 8650 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 x z) |
| Outputs |
|---|
(+.f64 (/.f64 x z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(+.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x (neg.f64 z)) (+.f64 z (neg.f64 y)))) |
(+.f64 (/.f64 x z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(+.f64 (/.f64 x z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 x (neg.f64 z)))) |
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (-.f64 y z) x) z)) |
(+.f64 (*.f64 x (/.f64 (-.f64 y z) z)) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 x z) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(+.f64 (*.f64 y (/.f64 x z)) (*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 x z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z))) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 x z) z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z))) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 x (neg.f64 z)) (+.f64 z (neg.f64 y))) (/.f64 x z)) |
(+.f64 (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64)) (/.f64 x z)) |
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(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) (/.f64 x z))) (+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z)))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x (neg.f64 z)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
Compiled 34 332 to 2 355 computations (93.1% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 733 | 3 | 1 736 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 737 | 9 | 1 746 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 30.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| ▶ | 59.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
| ✓ | 38.0% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| 36.3% | (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) | |
| ▶ | 59.5% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 38.0% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| ▶ | 63.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 147 to 85 computations (42.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (fma.f64 x y x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| 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) |
| 5 672× | lower-fma.f32 |
| 5 668× | lower-fma.f64 |
| 2 680× | lower-*.f32 |
| 2 674× | lower-*.f64 |
| 2 352× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 146 |
| 0 | 37 | 141 |
| 1 | 66 | 139 |
| 2 | 99 | 139 |
| 3 | 210 | 139 |
| 4 | 399 | 139 |
| 5 | 913 | 139 |
| 6 | 1814 | 139 |
| 7 | 3218 | 139 |
| 8 | 4829 | 139 |
| 9 | 5517 | 139 |
| 10 | 5867 | 139 |
| 11 | 5956 | 139 |
| 12 | 6026 | 139 |
| 13 | 6389 | 139 |
| 14 | 6600 | 139 |
| 15 | 6687 | 139 |
| 16 | 6718 | 139 |
| 17 | 6722 | 139 |
| 18 | 6726 | 139 |
| 19 | 6734 | 139 |
| 20 | 6754 | 139 |
| 21 | 6814 | 139 |
| 22 | 6814 | 139 |
| 0 | 8246 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
(fma.f64 x y x) |
x |
y |
z |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x z) |
x |
z |
#s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 x y x) |
(fma.f64 y x x) |
x |
y |
z |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x z) |
x |
z |
#s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 7.901830912648414 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) | |
| accuracy | 38.88512422568928 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 7.006960856333377 | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 25.033680791275604 | #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (fma.f64 x y x) | |
| accuracy | 7.776830912648414 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) | |
| accuracy | 24.873743991706796 | #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 (/.f64 x z) x) | |
| accuracy | 23.08058737208255 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 7.776830912648414 | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 54.0ms | 256× | 0 | valid |
Compiled 119 to 21 computations (82.4% saved)
ival-div: 24.0ms (60.8% of total)ival-mult: 7.0ms (17.7% of total)ival-add: 4.0ms (10.1% of total)ival-sub: 3.0ms (7.6% 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 (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>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) 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 (* x (+ (- y z) 1)) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 y) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#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 (/ (* x y) z) (taylor inf y) (#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 (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#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 (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#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 (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#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 (/ (* x y) z) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#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 (/ (+ x (* x y)) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#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 (* -1 x) (taylor inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#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 (* -1 x) (taylor -inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#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 (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#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 (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#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 (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (+ (* (- y z) x) x) z) |
| 1.0ms | x | @ | inf | (/ (+ (* (- y z) x) x) z) |
| 1.0ms | x | @ | 0 | (/ (+ (* (- y z) x) x) z) |
| 1.0ms | z | @ | -inf | (/ (+ (* (- y z) x) x) z) |
| 0.0ms | y | @ | -inf | (/ (+ (* (- y z) x) x) z) |
| 1× | egg-herbie |
| 7 926× | lower-fma.f64 |
| 7 926× | lower-fma.f32 |
| 2 910× | lower-*.f64 |
| 2 910× | lower-*.f32 |
| 1 480× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 3432 |
| 1 | 456 | 3133 |
| 2 | 1372 | 2781 |
| 3 | 3971 | 2781 |
| 4 | 6849 | 2781 |
| 0 | 8045 | 2512 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 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 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) |
(* -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 (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x 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) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x 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 (- 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)) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* 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) |
(* -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 (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -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 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 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) 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 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -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) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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 (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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 (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 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 (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -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 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))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x 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 (- (+ 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) 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 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 (- 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) |
(* 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) |
(* -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)))))) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 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 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 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 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 (- (+ 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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)))))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 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 (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -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 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))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 x (-.f64 y z) x) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 x (-.f64 y z) x) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 y z) x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 x (-.f64 y z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x z)) |
(*.f64 x (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* x (- (+ 1 y) z)) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
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) |
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) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -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 (+ 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 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y 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 (- (/ 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 (- (/ 1 z) 1)) |
(-.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) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ 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) |
(* -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) |
(* -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) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
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(*.f64 x (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 x (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 5 020× | lower-fma.f32 |
| 5 016× | lower-fma.f64 |
| 4 290× | lower-/.f32 |
| 4 282× | lower-/.f64 |
| 3 986× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 127 |
| 0 | 37 | 122 |
| 1 | 157 | 120 |
| 2 | 1101 | 120 |
| 0 | 8361 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
(fma.f64 x y x) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 (-.f64 y z) x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (neg.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (fma.f64 (-.f64 y z) x (neg.f64 x))) z) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z)) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x)))) (/.f64 (*.f64 x x) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(neg.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (-.f64 y z) x x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z)))) |
(neg.f64 (*.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) z)) |
(/.f64 x (/.f64 z (-.f64 (+.f64 y #s(literal 1 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)))) (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))) (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) z) (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (neg.f64 z)) (*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z) (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (neg.f64 z)) (*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z))) |
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)) (neg.f64 z)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) z)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z)) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (neg.f64 z))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (neg.f64 z))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) (neg.f64 x) x)) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (neg.f64 z))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) (neg.f64 x) x)) (neg.f64 (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) z) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z) (fma.f64 (-.f64 y z) x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64))) z) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) z)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z)) (fma.f64 (-.f64 y z) (neg.f64 x) x)) |
(pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z)) |
(*.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 x z)) |
(*.f64 (fma.f64 (-.f64 y z) x x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(*.f64 (/.f64 x z) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y z) x x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) z))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z))) |
(*.f64 (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z) x) |
(*.f64 (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) (neg.f64 z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (neg.f64 z)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) z) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (neg.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x))) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (neg.f64 x) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (-.f64 y z) x (neg.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (neg.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 z (neg.f64 y))) z)) |
(*.f64 (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 z (neg.f64 y))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64))) |
(+.f64 x (*.f64 (-.f64 y z) x)) |
(+.f64 x (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 (-.f64 y z) x) x) |
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (fma.f64 (-.f64 y z) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(+.f64 (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x))) x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (fma.f64 (-.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y z) x))) (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (-.f64 x (*.f64 (-.f64 y z) x)))) |
(fma.f64 (-.f64 y z) x x) |
(fma.f64 x (-.f64 y z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y z) x)) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y z) x)) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 y z) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x)))) |
(fma.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (neg.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 (fma.f64 y x x) (-.f64 x (*.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 y x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 y x)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 x) x)) (fma.f64 y (neg.f64 x) x)) |
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 x (*.f64 y x))) (-.f64 x (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (*.f64 (-.f64 (*.f64 y x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 y x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 x) x))) (neg.f64 (fma.f64 y (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 x (*.f64 y x)))) (neg.f64 (-.f64 x (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 y x)))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 y x))))))) |
(*.f64 (*.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) x))) |
(*.f64 (*.f64 (fma.f64 y x x) (-.f64 x (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(neg.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (*.f64 x #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))) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (/.f64 z (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x))) z) |
(pow.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) #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)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x z) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.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 (*.f64 y y) (+.f64 y #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)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y 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) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.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 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.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 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.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 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.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 (*.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 (*.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)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.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 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) |
(neg.f64 (*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))) |
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) z) |
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(pow.f64 z #s(literal -1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) |
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 13 936 to 1 256 computations (91% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 2 | 952 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 950 | 11 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 30.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| ✓ | 59.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
| ✓ | 38.0% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ▶ | 36.3% | (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
| ✓ | 59.5% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 38.0% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| ▶ | 57.3% | (*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
| ✓ | 63.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ▶ | 26.4% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 105 to 61 computations (41.9% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) | |
| 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 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (- (/ x z) x) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| 11 996× | lower-fma.f64 |
| 11 996× | lower-fma.f32 |
| 2 412× | lower-*.f32 |
| 2 410× | lower-*.f64 |
| 1 864× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 103 |
| 0 | 27 | 103 |
| 1 | 49 | 103 |
| 2 | 81 | 103 |
| 3 | 201 | 103 |
| 4 | 409 | 103 |
| 5 | 937 | 103 |
| 6 | 1875 | 103 |
| 7 | 3321 | 103 |
| 8 | 5127 | 103 |
| 9 | 6071 | 103 |
| 10 | 6657 | 103 |
| 11 | 6773 | 103 |
| 12 | 6861 | 103 |
| 13 | 6906 | 103 |
| 14 | 7036 | 103 |
| 15 | 7086 | 103 |
| 16 | 7202 | 103 |
| 17 | 7505 | 103 |
| 18 | 7527 | 103 |
| 19 | 7551 | 103 |
| 20 | 7551 | 103 |
| 0 | 8189 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 x (/.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 |
(/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
x |
#s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
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 |
(/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
x |
#s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 2.087614823184034 | (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) | |
| accuracy | 39.067930826418404 | #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) | |
| accuracy | 2.6700567112970495 | (*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) | |
| accuracy | 25.033680791275604 | #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 23.08058737208255 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) | |
| accuracy | 32.081131087214175 | #s(approx (- (/ x z) x) (/.f64 x z)) |
| 30.0ms | 256× | 0 | valid |
Compiled 71 to 18 computations (74.6% saved)
ival-div: 10.0ms (54.8% of total)ival-sub: 3.0ms (16.4% of total)ival-mult: 3.0ms (16.4% of total)ival-add: 2.0ms (11% 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 (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) 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 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) (patch (*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) #<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>) () ()) |
#s(alt (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 z) 1)) (taylor 0 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 (- (/ 1 z) 1)) (taylor 0 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 (- (/ 1 z) 1)) (taylor 0 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 (- (/ 1 z) 1)) (taylor 0 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 (- (/ 1 z) 1)) (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 (- (/ 1 z) 1)) (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 (- (/ 1 z) 1)) (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 (- (/ 1 z) 1)) (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 (* -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 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 (* -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>) () ())) ()) |
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#s(alt (/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) (taylor inf y) (#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf y) (#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (patch #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (/ z y) |
| 0.0ms | z | @ | -inf | (/ z y) |
| 0.0ms | z | @ | 0 | (/ z y) |
| 0.0ms | y | @ | -inf | (/ z y) |
| 0.0ms | y | @ | 0 | (/ (+ (- y z) 1) z) |
| 1× | egg-herbie |
| 11 554× | lower-fma.f64 |
| 11 554× | lower-fma.f32 |
| 5 110× | lower-*.f64 |
| 5 110× | lower-*.f32 |
| 2 880× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2001 |
| 1 | 576 | 1971 |
| 2 | 1727 | 1892 |
| 3 | 6789 | 1892 |
| 0 | 8292 | 1770 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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 (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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) |
(* 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) |
(* -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 (+ 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 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)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ 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) |
(* -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)))) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
-1 |
(- (+ (/ 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) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 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 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
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 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) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* 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 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 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 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) |
(* -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)))))) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(/ z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 x y 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 (- (/ 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 (- (/ 1 z) 1)) |
(-.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) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ 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) |
(* -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) |
(* -1 x) |
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(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) (+.f64 z #s(literal -1 binary64))) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) (+.f64 z #s(literal -1 binary64)))) y) (*.f64 z (-.f64 #s(literal 1 binary64) z))) y)) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
| 6 022× | lower-fma.f64 |
| 6 022× | lower-fma.f32 |
| 4 758× | lower-*.f32 |
| 4 756× | lower-*.f64 |
| 3 846× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 94 |
| 0 | 27 | 94 |
| 1 | 126 | 94 |
| 2 | 885 | 94 |
| 0 | 8374 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) 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)) |
(/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
#s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) |
(/.f64 z y) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z)) x)) |
(neg.f64 (*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z)))) |
(neg.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x)) z)) |
(/.f64 x (/.f64 z #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #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)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x))) z) |
(/.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 z)) |
(pow.f64 (/.f64 z (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(*.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 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) x) |
(*.f64 (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(*.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 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) #s(literal 1 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.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))) |
(neg.f64 (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.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))))) |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z) |
(/.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 z)) |
(pow.f64 (/.f64 z #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(*.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 #s(literal -1 binary64) (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 z #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 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 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 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 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) (/.f64 (neg.f64 x) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x))) |
(/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x)) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) (neg.f64 x))) |
(pow.f64 (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(*.f64 (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(neg.f64 (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(/.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) #s(literal -1 binary64)) |
#s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
(*.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (+ (- y z) 1)) (/.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y))) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
Compiled 4 533 to 565 computations (87.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 1 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 8 | 8 |
| Total | 441 | 11 | 452 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 30.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| ✓ | 59.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
| ✓ | 38.0% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ✓ | 36.3% | (/.f64 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
| ✓ | 59.5% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 38.0% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| 35.5% | (*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) | |
| ✓ | 63.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | 26.4% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 230 to 97 computations (57.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(*.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 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
4 calls:
| 86.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 96.7% | 1 | y |
| 99.9% | 3 | z |
| 99.2% | 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 (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(*.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 x #s(approx (/ z (+ (- y z) 1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | 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 (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
4 calls:
| 49.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 3 | y |
| 92.8% | 3 | z |
| 92.6% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 89.8% | 2 | x |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) |
4 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | x |
| 88.3% | 3 | z |
| 82.2% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 89.7% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) |
2 calls:
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 3 | z |
| 87.9% | 3 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
4 calls:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 1 | x |
| 63.9% | 1 | z |
| 63.9% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 63.9% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 2.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | x |
| 40.7% | 1 | y |
| 63.4% | 3 | z |
| 52.2% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) 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)) |
2 calls:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 40.7% | 1 | z |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6764298546695015e-60 | 2.2190459576408052e-60 |
| 1.0ms | 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.0205281811293078e-27 | 1.8410832605059342e-13 |
| 4.0ms | 96× | 0 | valid |
Compiled 165 to 110 computations (33.3% saved)
ival-sub: 1.0ms (43.1% of total)ival-div: 1.0ms (43.1% of total)ival-mult: 1.0ms (43.1% 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 |
|---|---|---|
| 9.0ms | 3.825219158051068e+63 | 9.616839263548911e+64 |
| 16.0ms | -0.0037041636933046974 | -7.615593392379354e-10 |
| 12.0ms | 256× | 0 | valid |
Compiled 367 to 222 computations (39.5% saved)
ival-div: 2.0ms (31.5% of total)ival-mult: 2.0ms (31.5% of total)ival-sub: 1.0ms (15.7% of total)ival-add: 1.0ms (15.7% 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 |
|---|---|---|
| 4.0ms | 6.828007864100846e+117 | 8.524717122149474e+117 |
| 11.0ms | -6.278536248115319e+63 | -3.7825330327684446e+61 |
| 8.0ms | 160× | 0 | valid |
Compiled 218 to 134 computations (38.5% saved)
ival-sub: 1.0ms (24.3% of total)ival-div: 1.0ms (24.3% of total)ival-add: 1.0ms (24.3% of total)ival-mult: 1.0ms (24.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.828007864100846e+117 | 8.524717122149474e+117 |
| 0.0ms | -6.278536248115319e+63 | -3.7825330327684446e+61 |
Compiled 215 to 134 computations (37.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.828007864100846e+117 | 8.524717122149474e+117 |
| 0.0ms | -6.278536248115319e+63 | -3.7825330327684446e+61 |
Compiled 215 to 134 computations (37.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.0002524097395529916 | 596978.7104478328 |
| 14.0ms | -241.69691046500606 | -5.5314761424079044e-17 |
| 17.0ms | 304× | 0 | valid |
Compiled 319 to 204 computations (36.1% saved)
ival-sub: 4.0ms (39.9% of total)ival-div: 2.0ms (19.9% of total)ival-mult: 2.0ms (19.9% of total)ival-add: 1.0ms (10% 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 |
| 10× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 307 |
| 1 | 73 | 307 |
| 2 | 79 | 307 |
| 3 | 82 | 307 |
| 4 | 83 | 307 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1450710983537555/604462909807314587353088 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 3899999999999999805464323044000593343274787481851289557792718848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) 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 3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))) |
(if (<=.f64 y #s(literal -1450710983537555/604462909807314587353088 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 3899999999999999805464323044000593343274787481851289557792718848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z))) |
(if (<=.f64 y #s(literal -79999999999999995950970823765921509357091600881072805846712320 binary64)) (*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))) (if (<=.f64 y #s(literal 6999999999999999653967762151401420900396946537982186040129152437227649691593003789584673895935140103242703145279684608 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 x #s(approx (/ (+ (- y z) 1) z) (/.f64 y z))))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) 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)) |
| 11 554× | lower-fma.f64 |
| 11 554× | lower-fma.f32 |
| 11 072× | lower-fma.f64 |
| 11 072× | lower-fma.f32 |
| 7 926× | lower-fma.f64 |
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 |
| 0 | 24 | 127 |
| 0 | 37 | 122 |
| 1 | 157 | 120 |
| 2 | 1101 | 120 |
| 0 | 8361 | 120 |
| 0 | 82 | 697 |
| 1 | 263 | 697 |
| 2 | 801 | 697 |
| 3 | 2493 | 696 |
| 4 | 5556 | 695 |
| 0 | 8369 | 633 |
| 0 | 196 | 3148 |
| 1 | 620 | 3124 |
| 2 | 1874 | 3039 |
| 3 | 6841 | 3039 |
| 0 | 8342 | 2826 |
| 0 | 190 | 2001 |
| 1 | 576 | 1971 |
| 2 | 1727 | 1892 |
| 3 | 6789 | 1892 |
| 0 | 8292 | 1770 |
| 0 | 140 | 3432 |
| 1 | 456 | 3133 |
| 2 | 1372 | 2781 |
| 3 | 3971 | 2781 |
| 4 | 6849 | 2781 |
| 0 | 8045 | 2512 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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 |
Compiled 428 to 184 computations (57% saved)
Compiled 516 to 174 computations (66.3% saved)
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