
Time bar (total: 9.8s)
| 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)
| 552.0ms | 8 256× | 0 | valid |
ival-add: 105.0ms (29% of total)ival-mult: 82.0ms (22.7% of total)ival-div: 81.0ms (22.4% of total)ival-sub: 80.0ms (22.1% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% 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)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 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 | 26 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 0 |
| - | 0 | 230 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 0 |
| - | 0 | 0 | 230 |
| number | freq |
|---|---|
| 0 | 230 |
| 1 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 512× | 0 | valid |
Compiled 84 to 36 computations (57.1% saved)
ival-div: 4.0ms (29.3% of total)ival-sub: 3.0ms (22% of total)ival-add: 3.0ms (22% of total)ival-mult: 3.0ms (22% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.4% | (/.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 (-.f64 #s(literal 1 binary64) z)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 y z) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| ✓ | accuracy | 90.4% | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 15.0ms | 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 | |
|---|---|---|---|---|
| 35.0ms | z | @ | 0 | (/ (* x (+ (- y z) 1)) z) |
| 1.0ms | x | @ | -inf | (/ (* x (+ (- y z) 1)) z) |
| 1.0ms | x | @ | 0 | (* x (+ (- y z) 1)) |
| 1.0ms | z | @ | -inf | (/ (* x (+ (- y z) 1)) z) |
| 0.0ms | y | @ | -inf | (* x (+ (- y z) 1)) |
| 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 #s(literal 1 binary64) (-.f64 y z)) |
(- (+ 1 y) z) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(- (+ 1 y) z) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ y (* -1 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(+ 1 (+ y (* -1 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 y 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) |
| 1× | batch-egg-rewrite |
| 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 1 388 computations (87% 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 |
|---|---|---|
| 90.4% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| ▶ | 63.9% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) |
| 63.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) | |
| ▶ | 41.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ▶ | 95.5% | (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| 90.2% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (-.f64 y z) x))) | |
| 90.2% | (*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) | |
| ▶ | 88.3% | (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 63.1% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 37.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 212 to 128 computations (39.6% 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 | (+.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 #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) 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)))) |
| 9 186× | lower-fma.f64 |
| 9 186× | lower-fma.f32 |
| 3 518× | lower-*.f32 |
| 3 512× | lower-*.f64 |
| 1 236× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 137 |
| 0 | 36 | 137 |
| 1 | 67 | 137 |
| 2 | 106 | 137 |
| 3 | 265 | 137 |
| 4 | 554 | 137 |
| 5 | 1064 | 137 |
| 6 | 2670 | 137 |
| 7 | 5795 | 137 |
| 0 | 8308 | 132 |
| 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) (+.f64 #s(literal 1 binary64) y))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
x |
#s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
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 (/.f64 (fma.f64 x y x) z) x) |
x |
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))) |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(-.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) (+.f64 #s(literal 1 binary64) y))) z) |
(*.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
x |
#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 |
z |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 x y x) z) x) |
(/.f64 x z) |
x |
z |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(+.f64 y (-.f64 #s(literal 1 binary64) z)) |
(-.f64 y z) |
y |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (-.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 y z) #s(literal 1 binary64)) |
| ✓ | accuracy | 88.3% | (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 90.4% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) |
| ✓ | accuracy | 64.7% | #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 90.4% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ✓ | accuracy | 42.3% | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 37.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 y z) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| ✓ | accuracy | 95.5% | (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
| 37.0ms | 256× | 0 | valid |
Compiled 116 to 17 computations (85.3% saved)
ival-div: 7.0ms (35.5% of total)ival-add: 5.0ms (25.3% of total)ival-mult: 5.0ms (25.3% of total)ival-sub: 2.0ms (10.1% of total)ival-neg: 1.0ms (5.1% 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) (+.f64 #s(literal 1 binary64) y))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 x #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 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>) () ())) ()) |
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#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#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 (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#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 (/ (* x y) z) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#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 (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ z (+ (- y z) 1)) |
| 0.0ms | y | @ | 0 | (/ z (+ (- y z) 1)) |
| 0.0ms | z | @ | inf | (/ z (+ (- y z) 1)) |
| 0.0ms | z | @ | 0 | (/ z (+ (- y z) 1)) |
| 0.0ms | x | @ | -inf | (/ x z) |
| 1× | egg-herbie |
| 12 176× | lower-fma.f64 |
| 12 176× | lower-fma.f32 |
| 4 830× | lower-*.f64 |
| 4 830× | lower-*.f32 |
| 1 954× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2848 |
| 1 | 626 | 2830 |
| 2 | 1878 | 2805 |
| 3 | 7027 | 2805 |
| 0 | 8147 | 2574 |
| 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 |
(+ 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)))))) |
(/ 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 (/.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) |
(/ z (+ 1 y)) |
(/.f64 z (+.f64 #s(literal 1 binary64) y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 z (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 z (+.f64 #s(literal 1 binary64) y))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 z (fma.f64 z (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 z (+.f64 #s(literal 1 binary64) y))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 z (+.f64 #s(literal 1 binary64) y))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(+.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))) z)) z)) |
(/ z (- 1 z)) |
(/.f64 z (-.f64 #s(literal 1 binary64) z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(fma.f64 y (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 z #s(literal -1 binary64)))) (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 y (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 y (fma.f64 y (/.f64 (*.f64 y (neg.f64 z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))) (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/.f64 (fma.f64 z (/.f64 (+.f64 z #s(literal -1 binary64)) y) z) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) #s(literal -1 binary64)) z) 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) |
(/.f64 (-.f64 z (/.f64 (fma.f64 (/.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) #s(literal -1 binary64))) (-.f64 z (*.f64 z z))) y)) y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(/.f64 (fma.f64 z (/.f64 (+.f64 z #s(literal -1 binary64)) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) 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 (/.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) #s(literal -1 binary64))) (-.f64 z (*.f64 z z))) y)) y) |
(- 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) |
(/ (* 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 (/.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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.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 (/.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 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))) |
(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 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 (/.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 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))) |
(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) |
(- 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 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) 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 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 (/.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 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) |
| 1× | batch-egg-rewrite |
| 4 116× | lower-*.f32 |
| 4 110× | lower-*.f64 |
| 3 802× | lower-/.f32 |
| 3 792× | lower-/.f64 |
| 3 742× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 113 |
| 0 | 36 | 113 |
| 1 | 131 | 113 |
| 2 | 908 | 113 |
| 0 | 8775 | 108 |
| 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) (+.f64 #s(literal 1 binary64) y))) z) |
(*.f64 x #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 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 (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(+.f64 (/.f64 x z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) 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 y #s(literal 1 binary64))) (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 (neg.f64 x) z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (+.f64 z (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) z) (+.f64 z (neg.f64 y))) (*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64)) (/.f64 x z)) |
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z)) (neg.f64 (*.f64 z (/.f64 x z)))) |
(+.f64 (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z)) (/.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 x (-.f64 y z) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z))) |
(-.f64 (*.f64 x (/.f64 (-.f64 y z) z)) (/.f64 (neg.f64 x) z)) |
(-.f64 (*.f64 y (/.f64 x z)) (/.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 z x))) |
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)) (/.f64 z (/.f64 z x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 y z)))) (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 y z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (/.f64 x z) (/.f64 x z))) (/.f64 (fma.f64 x (-.f64 y z) (neg.f64 x)) z)) (/.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (fma.f64 x (-.f64 y z) (neg.f64 x)) z))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y z)) (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 y z) z) (/.f64 x z)) |
(fma.f64 y (/.f64 x z) (*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)) (/.f64 x z)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z) (neg.f64 (*.f64 z (/.f64 x z)))) |
(fma.f64 (/.f64 x z) y (*.f64 (/.f64 x z) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x z) (-.f64 y z) (/.f64 x z)) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 x z) z))) |
(fma.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (/.f64 z x))) (/.f64 x z)) |
(fma.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (/.f64 x z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)) (/.f64 x z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.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 (/.f64 (-.f64 y z) z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 x z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (/.f64 z x))) (/.f64 x z)) |
(fma.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (+.f64 z y))) (/.f64 x z)) |
(fma.f64 (*.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) |
(fma.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) z)) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) z))) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (-.f64 y z) (+.f64 z y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) z)) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (neg.f64 z))) (/.f64 x z)) |
(fma.f64 (*.f64 x (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (+.f64 z y) (*.f64 y y)))) (/.f64 x z)) |
(fma.f64 (*.f64 x (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z y))) (/.f64 x z)) |
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (fma.f64 z (+.f64 z y) (*.f64 y y))))) (/.f64 x z)) |
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 z y)))) (/.f64 x z)) |
(fma.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) z) (+.f64 z (neg.f64 y)))) |
(fma.f64 (/.f64 (neg.f64 x) z) (+.f64 z (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))) |
(fma.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z) (/.f64 x z)) |
(fma.f64 (*.f64 (/.f64 x z) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 x z)) |
(fma.f64 (*.f64 (/.f64 x z) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 x z)) |
(fma.f64 (*.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 x z)) |
(fma.f64 (*.f64 x (+.f64 z (neg.f64 y))) (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (/.f64 x z)) |
(fma.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x z)) |
(fma.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (/.f64 x z)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 x (/.f64 (-.f64 y z) z))) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) z)))) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 y z)))) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (+.f64 z (neg.f64 y)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 y z))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)))) |
(neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 x (-.f64 y z) x)))) |
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (-.f64 y z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 y z))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z))) z) (*.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 z x)) (fma.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (neg.f64 z)) (*.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) z) (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 z x)) (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (fma.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) z (neg.f64 z)) (*.f64 x (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (fma.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (fma.f64 (-.f64 y z) (-.f64 y z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1 binary64))))) |
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(/.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 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) (/.f64 x z))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) 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 (neg.f64 x) z)) |
(*.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 34 001 to 2 433 computations (92.8% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 711 | 5 | 1 716 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 716 | 10 | 1 726 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.4% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ▶ | 64.8% | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
| 63.9% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) | |
| ✓ | 41.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| 63.1% | (/.f64 x (/.f64 z #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) | |
| ▶ | 64.9% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 63.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
| 41.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) | |
| ▶ | 63.1% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 37.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 189 to 113 computations (40.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | 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 | 384 | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
| ✓ | 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 | (/.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) |
| 12 332× | lower-fma.f32 |
| 12 330× | lower-fma.f64 |
| 2 786× | lower-*.f32 |
| 2 780× | lower-*.f64 |
| 1 712× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 154 |
| 0 | 38 | 151 |
| 1 | 72 | 151 |
| 2 | 110 | 151 |
| 3 | 252 | 151 |
| 4 | 459 | 151 |
| 5 | 977 | 151 |
| 6 | 1808 | 151 |
| 7 | 3292 | 151 |
| 8 | 5310 | 151 |
| 9 | 6615 | 151 |
| 10 | 6805 | 151 |
| 11 | 6938 | 151 |
| 12 | 7068 | 151 |
| 13 | 7125 | 151 |
| 14 | 7190 | 151 |
| 15 | 7542 | 151 |
| 16 | 7633 | 151 |
| 17 | 7635 | 151 |
| 18 | 7635 | 151 |
| 19 | 7635 | 151 |
| 0 | 8074 | 151 |
| 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 (/.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) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
x |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
| 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 (/.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) (*.f64 x #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 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
x |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 87.6% | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
| ✓ | accuracy | 64.7% | #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) |
| ✓ | accuracy | 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
| ✓ | accuracy | 64.7% | #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 88.3% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 64.7% | #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 x z) x) |
| ✓ | accuracy | 63.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (-.f64 y z) x x) |
| ✓ | accuracy | 100.0% | (-.f64 y z) |
| ✓ | accuracy | 90.4% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 40.0ms | 256× | 0 | valid |
Compiled 124 to 22 computations (82.3% saved)
ival-div: 10.0ms (42.1% of total)ival-mult: 6.0ms (25.3% of total)ival-add: 5.0ms (21% of total)ival-sub: 3.0ms (12.6% 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 (/.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) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #<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 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<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>) () ())) ()) |
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#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
108 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 | z | @ | -inf | (/ (+ (* (- y z) x) x) z) |
| 1.0ms | x | @ | 0 | (/ (+ (* (- y z) x) x) z) |
| 0.0ms | y | @ | -inf | (/ (+ (* (- y z) x) x) z) |
| 1× | egg-herbie |
| 7 804× | lower-fma.f64 |
| 7 804× | lower-fma.f32 |
| 2 844× | lower-*.f64 |
| 2 844× | lower-*.f32 |
| 1 444× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3127 |
| 1 | 427 | 2919 |
| 2 | 1306 | 2567 |
| 3 | 3865 | 2567 |
| 4 | 6781 | 2567 |
| 0 | 8068 | 2350 |
| 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 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))))) |
(- 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))))) |
(/ (* 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)) 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) |
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))) |
(/ 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) |
| Outputs |
|---|
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ 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 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 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 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/ (* x (- (+ 1 y) z)) z) |
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(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 1× | batch-egg-rewrite |
| 4 730× | lower-fma.f32 |
| 4 728× | lower-fma.f64 |
| 4 226× | lower-/.f32 |
| 4 216× | lower-/.f64 |
| 4 116× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 122 |
| 0 | 38 | 119 |
| 1 | 164 | 119 |
| 2 | 1099 | 119 |
| 0 | 8439 | 119 |
| 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 (/.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) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #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 z x)) |
(+.f64 y #s(literal 1 binary64)) |
(/.f64 z x) |
| Outputs |
|---|
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x)) (/.f64 x z)) |
(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))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x) (/.f64 x z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) x))) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) 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 z) #s(literal 1 binary64)) (neg.f64 (/.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 z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) 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 z) #s(literal 1 binary64)) (/.f64 z x)) |
(/.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 z) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (-.f64 y z) x x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z)) |
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x 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 z) #s(literal 1 binary64)) #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 z) #s(literal 1 binary64)) z) 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 #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 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 z (neg.f64 y))) z)) |
(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.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 (*.f64 x y) (*.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (*.f64 (-.f64 y z) (neg.f64 x))) x) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z))) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) x)) |
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) z) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
Compiled 17 500 to 1 433 computations (91.8% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 188 | 4 | 1 192 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 191 | 11 | 1 202 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ▶ | 51.2% | (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
| ✓ | 64.8% | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
| ▶ | 63.9% | (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
| ✓ | 41.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ✓ | 64.9% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 63.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
| ▶ | 41.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| ✓ | 63.1% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 37.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ▶ | 28.5% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 161 to 94 computations (41.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 384 | (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
| ✓ | 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(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
| ✓ | 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 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))) |
| ✓ | cost-diff | 0 | (fma.f64 x y x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
| 7 326× | lower-fma.f32 |
| 7 324× | lower-fma.f64 |
| 3 422× | lower-*.f32 |
| 3 416× | lower-*.f64 |
| 1 620× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 172 |
| 0 | 38 | 170 |
| 1 | 70 | 168 |
| 2 | 108 | 168 |
| 3 | 231 | 168 |
| 4 | 422 | 168 |
| 5 | 942 | 167 |
| 6 | 1741 | 167 |
| 7 | 3035 | 167 |
| 8 | 4839 | 167 |
| 9 | 6219 | 167 |
| 0 | 8016 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
#s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) |
(fma.f64 x y x) |
x |
y |
z |
#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 (/.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 |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
(fma.f64 x y x) |
x |
y |
(/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 z x) |
x |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z) |
#s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) |
#s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) |
(fma.f64 x y x) |
(fma.f64 y x x) |
x |
y |
z |
#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 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(/.f64 #s(approx (+ (* (- y z) x) x) (*.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 (+ (* (- y z) x) x) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
#s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) |
(fma.f64 x y x) |
(fma.f64 y x x) |
x |
y |
(/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 z x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 87.6% | (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
| ✓ | accuracy | 59.6% | #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 100.0% | (fma.f64 x y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
| ✓ | accuracy | 65.9% | #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| ✓ | accuracy | 42.3% | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 63.2% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| ✓ | accuracy | 53.0% | #s(approx (- (/ x z) x) (/.f64 x z)) |
| ✓ | accuracy | 100.0% | (fma.f64 x y x) |
| ✓ | accuracy | 90.4% | (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
| ✓ | accuracy | 65.9% | #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) |
| 86.0ms | 256× | 0 | valid |
Compiled 126 to 22 computations (82.5% saved)
ival-sub: 29.0ms (59.5% of total)ival-div: 10.0ms (20.5% of total)ival-mult: 6.0ms (12.3% of total)ival-add: 3.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) (patch #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ()) |
#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 (/.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>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) #<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 (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) (taylor inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) (taylor -inf y) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (+ (/ x z) (/ (* x y) z))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (patch (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ (* x y) x) |
| 0.0ms | x | @ | 0 | (+ (* x y) x) |
| 0.0ms | z | @ | -inf | (- 1 z) |
| 0.0ms | y | @ | -inf | (+ (* x y) x) |
| 0.0ms | z | @ | 0 | (- 1 z) |
| 1× | egg-herbie |
| 7 374× | lower-fma.f64 |
| 7 374× | lower-fma.f32 |
| 2 748× | lower-*.f64 |
| 2 748× | lower-*.f32 |
| 1 250× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3467 |
| 1 | 420 | 3168 |
| 2 | 1278 | 2816 |
| 3 | 3467 | 2816 |
| 4 | 6770 | 2816 |
| 0 | 8142 | 2541 |
| 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))) |
(* 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 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) |
(/ (+ (* -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) |
(/ (* 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)))))) |
(* 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 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)) 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) |
(- 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 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(/ 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) |
| 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))) |
(fma.f64 x (neg.f64 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 (+ (* -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) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
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(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 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 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) |
(- 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 (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 y (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 y (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 y (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 y (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 y (fma.f64 y (/.f64 z y) #s(literal -1 binary64))) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 1× | batch-egg-rewrite |
| 5 072× | lower-fma.f32 |
| 5 070× | lower-fma.f64 |
| 4 136× | lower-*.f32 |
| 4 130× | lower-*.f64 |
| 4 078× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 149 |
| 0 | 38 | 147 |
| 1 | 166 | 145 |
| 2 | 1163 | 145 |
| 0 | 8366 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
#s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) |
(fma.f64 x y x) |
#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 (/.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) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) |
(/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(/.f64 z x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (neg.f64 z))) |
(neg.f64 (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (neg.f64 z))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (neg.f64 z)))) |
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))))) |
(/.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) (neg.f64 z)) |
(pow.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))))) |
(*.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) |
(neg.f64 (neg.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) |
#s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) |
(*.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* (- y z) x) x) (fma.f64 y x x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)))) |
(+.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) x)) (neg.f64 (/.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 x x) (-.f64 x (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 x (*.f64 y x)))) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y x)) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (*.f64 y (*.f64 y (*.f64 x x))))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (fma.f64 y (neg.f64 x) x))) |
(/.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 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) |
(/.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 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 y x)) (*.f64 y (*.f64 y (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (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 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (*.f64 y (*.f64 y (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (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 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (*.f64 y (*.f64 y (*.f64 x 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)))) |
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(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (+.f64 z #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z))) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 z)))) |
(/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 1 binary64)) (fma.f64 z z (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 z (neg.f64 x))) |
(neg.f64 (/.f64 z (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 z (neg.f64 x)) #s(literal 1 binary64))) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) x)) |
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 z (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) z) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
Compiled 9 574 to 679 computations (92.9% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 1 | 834 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 833 | 12 | 845 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 51.2% | (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
| ✓ | 64.8% | (/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
| ✓ | 63.9% | (/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
| ✓ | 41.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
| ✓ | 64.9% | (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 63.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
| ✓ | 41.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
| ✓ | 63.1% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 37.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | 28.5% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| 28.4% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
Compiled 285 to 111 computations (61.1% 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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(/.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 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) |
(/.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 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 x (/.f64 z #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64))) (/.f64 z x)) |
(/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (-.f64 y z) x))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
4 calls:
| 40.0ms | x |
| 7.0ms | z |
| 6.0ms | y |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 97.6% | 2 | y |
| 99.9% | 3 | z |
| 98.8% | 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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(/.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 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) |
(/.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 #s(literal 1 binary64) z) #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))) |
| 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:
| 5.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 3 | y |
| 95.9% | 3 | z |
| 90.4% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 90.4% | 1 | 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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(/.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 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
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 |
|---|---|---|
| 67.7% | 2 | x |
| 85.1% | 3 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 92.1% | 3 | z |
| 88.8% | 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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(/.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 #s(approx (+ (* (- y z) x) x) (fma.f64 x y x)) z) |
| Outputs |
|---|
#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) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
1 calls:
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | z |
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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(/.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) |
2 calls:
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 3 | y |
| 72.6% | 3 | z |
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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
4 calls:
| 5.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 1 | x |
| 63.1% | 1 | z |
| 63.1% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 63.1% | 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 |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | x |
| 49.6% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 62.5% | 3 | z |
| 42.6% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
3 calls:
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | y |
| 37.7% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 37.7% | 1 | z |
Compiled 20 to 14 computations (30% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.2986000188809593e-33 | 2.5462006505438255e-32 |
| 22.0ms | 96× | 0 | valid |
Compiled 165 to 110 computations (33.3% saved)
ival-sub: 1.0ms (40.5% of total)ival-div: 1.0ms (40.5% of total)ival-mult: 1.0ms (40.5% 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 |
|---|---|---|
| 29.0ms | 1.5221359591373197e-15 | 3.461007115612834e-14 |
| 4.0ms | -5.53860239610111e-5 | -4.216729998785425e-5 |
| 27.0ms | 160× | 0 | valid |
Compiled 235 to 144 computations (38.7% saved)
ival-sub: 1.0ms (24.5% of total)ival-div: 1.0ms (24.5% of total)ival-add: 1.0ms (24.5% of total)ival-mult: 1.0ms (24.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.8004923388067774e+57 | 3.571167583787118e+59 |
| 8.0ms | -19826090.808806457 | -3252906.458703211 |
| 11.0ms | 208× | 0 | valid |
Compiled 280 to 189 computations (32.5% saved)
ival-sub: 2.0ms (30.9% of total)ival-div: 1.0ms (15.4% of total)ival-add: 1.0ms (15.4% of total)ival-mult: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.8004923388067774e+57 | 3.571167583787118e+59 |
| 0.0ms | -19826090.808806457 | -3252906.458703211 |
Compiled 267 to 163 computations (39% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.1434609745963085e+86 | 3.453805369883096e+86 |
| 14.0ms | -1.227857285612997e+32 | -4.3472747819722905e+28 |
| 10.0ms | 208× | 0 | valid |
Compiled 275 to 170 computations (38.2% saved)
ival-sub: 1.0ms (18.3% of total)ival-div: 1.0ms (18.3% of total)ival-add: 1.0ms (18.3% of total)ival-mult: 1.0ms (18.3% 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 |
|---|---|---|
| 12.0ms | 2.503411800080031e-6 | 0.7075099235682192 |
| 113.0ms | -19826090.808806457 | -3252906.458703211 |
| 11.0ms | 224× | 0 | valid |
Compiled 255 to 164 computations (35.7% saved)
ival-div: 2.0ms (34% of total)ival-sub: 1.0ms (17% of total)ival-add: 1.0ms (17% of total)ival-mult: 1.0ms (17% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | +-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 | 60 | 284 |
| 1 | 74 | 284 |
| 2 | 80 | 284 |
| 3 | 83 | 284 |
| 4 | 84 | 284 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 4019129502659983/730750818665451459101842416358141509827966271488 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 -6640827866535439/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 5387515050969975/158456325028528675187087900672 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 z #s(literal -15000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 17999999999999999824893026898842903276024313195637311012864 binary64)) (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -15000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 17999999999999999824893026898842903276024313195637311012864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -52000000000000003989487747072 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 121999999999999996263547740709883479830540554697867555271103338298405912308620703301632 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -3300000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 3152519739159347/4503599627370496 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 4019129502659983/730750818665451459101842416358141509827966271488 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 -6640827866535439/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 5387515050969975/158456325028528675187087900672 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 z #s(literal -15000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 17999999999999999824893026898842903276024313195637311012864 binary64)) (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -15000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 17999999999999999824893026898842903276024313195637311012864 binary64)) (*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (+.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -15000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (if (<=.f64 z #s(literal 17999999999999999824893026898842903276024313195637311012864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -52000000000000003989487747072 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 121999999999999996263547740709883479830540554697867555271103338298405912308620703301632 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -3300000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 3152519739159347/4503599627370496 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)) |
| 12 176× | lower-fma.f64 |
| 12 176× | lower-fma.f32 |
| 7 804× | lower-fma.f64 |
| 7 804× | lower-fma.f32 |
| 7 442× | lower-fma.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 |
| 0 | 197 | 2848 |
| 1 | 626 | 2830 |
| 2 | 1878 | 2805 |
| 3 | 7027 | 2805 |
| 0 | 8147 | 2574 |
| 0 | 132 | 3127 |
| 1 | 427 | 2919 |
| 2 | 1306 | 2567 |
| 3 | 3865 | 2567 |
| 4 | 6781 | 2567 |
| 0 | 8068 | 2350 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 337 to 153 computations (54.6% saved)
Compiled 466 to 174 computations (62.7% saved)
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