
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 937.0ms | 8 256× | 0 | valid |
ival-div: 165.0ms (26.8% of total)ival-sub: 154.0ms (25% of total)ival-mult: 143.0ms (23.2% of total)ival-add: 138.0ms (22.4% of total)ival-true: 7.0ms (1.1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 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 | 38 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 0 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 0 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 6.0ms (38.6% of total)ival-sub: 3.0ms (19.3% of total)ival-mult: 3.0ms (19.3% of total)ival-add: 2.0ms (12.9% of total)ival-true: 1.0ms (6.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 92 |
| 1 | 135 | 86 |
| 2 | 419 | 83 |
| 3 | 1826 | 81 |
| 4 | 5081 | 81 |
| 5 | 7500 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 57 | 9 |
| 3 | 147 | 9 |
| 4 | 333 | 9 |
| 5 | 750 | 9 |
| 6 | 1629 | 9 |
| 7 | 2866 | 9 |
| 8 | 4292 | 9 |
| 9 | 5087 | 9 |
| 10 | 5604 | 9 |
| 11 | 5681 | 9 |
| 12 | 5711 | 9 |
| 13 | 5715 | 9 |
| 14 | 5807 | 9 |
| 15 | 5993 | 9 |
| 16 | 6027 | 9 |
| 17 | 6043 | 9 |
| 18 | 6147 | 9 |
| 19 | 6453 | 9 |
| 20 | 6465 | 9 |
| 21 | 6465 | 9 |
| 0 | 8603 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(negabs x)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.9% | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | |
| cost-diff | 128 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 57 | 28 |
| 3 | 147 | 28 |
| 4 | 333 | 28 |
| 5 | 750 | 28 |
| 6 | 1629 | 28 |
| 7 | 2866 | 28 |
| 8 | 4292 | 28 |
| 9 | 5087 | 28 |
| 10 | 5604 | 28 |
| 11 | 5681 | 28 |
| 12 | 5711 | 28 |
| 13 | 5715 | 28 |
| 14 | 5807 | 28 |
| 15 | 5993 | 28 |
| 16 | 6027 | 28 |
| 17 | 6043 | 28 |
| 18 | 6147 | 28 |
| 19 | 6453 | 28 |
| 20 | 6465 | 28 |
| 21 | 6465 | 28 |
| 0 | 8603 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y z) x x) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 8.99590866298393 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (31.8% of total)ival-mult: 2.0ms (31.8% of total)ival-sub: 1.0ms (15.9% of total)ival-add: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- 1 z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | z | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | z | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1× | egg-herbie |
| 7 342× | lower-fma.f64 |
| 7 342× | lower-fma.f32 |
| 2 540× | lower-*.f64 |
| 2 540× | lower-*.f32 |
| 1 510× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 3 876× | lower-*.f32 |
| 3 874× | lower-*.f64 |
| 3 848× | lower-fma.f64 |
| 3 848× | lower-fma.f32 |
| 3 200× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x)) |
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y z) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #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 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y z) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) x) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (fma.f64 (neg.f64 x) z x)) |
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(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
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(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) z) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 z y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) y) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (-.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y (-.f64 z #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) y) |
(+.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(+.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z)) |
(*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y y))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y))) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (*.f64 (-.f64 y z) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) (fma.f64 z z (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y))) (fma.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal 1 binary64)) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 z y) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(neg.f64 (neg.f64 (-.f64 y z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 y z) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 9 010 to 1 423 computations (84.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 12 | 493 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 482 | 12 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| 85.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| 85.9% | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| ▶ | 52.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| 23.3% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| ▶ | 64.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 41.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| ▶ | 95.6% | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 95.5% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) | |
| 94.7% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| 63.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 42.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ▶ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 180 to 166 computations (7.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 0 | (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 512 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 10 164× | lower-fma.f32 |
| 10 162× | lower-fma.f64 |
| 2 202× | lower-*.f32 |
| 2 198× | lower-*.f64 |
| 2 058× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 141 |
| 0 | 38 | 141 |
| 1 | 74 | 141 |
| 2 | 122 | 141 |
| 3 | 250 | 141 |
| 4 | 495 | 141 |
| 5 | 1100 | 138 |
| 6 | 2964 | 138 |
| 7 | 4833 | 138 |
| 8 | 6004 | 138 |
| 9 | 6358 | 138 |
| 10 | 6476 | 138 |
| 11 | 6508 | 138 |
| 12 | 6522 | 138 |
| 13 | 6627 | 138 |
| 14 | 6929 | 138 |
| 15 | 6971 | 138 |
| 16 | 7015 | 138 |
| 17 | 7043 | 138 |
| 18 | 7083 | 138 |
| 19 | 7259 | 138 |
| 20 | 7756 | 138 |
| 21 | 7760 | 138 |
| 0 | 8210 | 136 |
| 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 |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
z |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
x |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
z |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
z |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) |
x |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 8.99590866298393 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) | |
| accuracy | 26.223997359708232 | #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 8.99590866298393 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| accuracy | 20.990224748978125 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 3.4283503824496604 | (*.f64 (/.f64 x z) y) | |
| accuracy | 36.02840590652508 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 41.77747472436648 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.01171875 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 2.847342466348058 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 54.0ms | 256× | 0 | valid |
Compiled 113 to 20 computations (82.3% saved)
ival-sub: 9.0ms (36.8% of total)ival-div: 7.0ms (28.6% of total)ival-mult: 5.0ms (20.4% of total)ival-add: 2.0ms (8.2% of total)ival-neg: 1.0ms (4.1% 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 #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<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>) () ()) |
| Outputs |
|---|
#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 (/ z (+ 1 y)) (taylor 0 z) (#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 (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) (taylor 0 z) (#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 (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#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 (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#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 (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (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>) () ())) ()) |
#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z)) |
| 3.0ms | z | @ | inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z)) |
| 2.0ms | x | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z)) |
| 2.0ms | z | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z)) |
| 2.0ms | y | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z)) |
| 1× | egg-herbie |
| 12 310× | lower-fma.f64 |
| 12 310× | lower-fma.f32 |
| 4 104× | lower-*.f64 |
| 4 104× | lower-*.f32 |
| 2 482× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 3706 |
| 1 | 671 | 3058 |
| 2 | 2008 | 3035 |
| 3 | 6783 | 3019 |
| 0 | 8373 | 2767 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ 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 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-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 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-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) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ 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))) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ 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) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ 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)) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ z (+ 1 y)) |
(/.f64 z (-.f64 y #s(literal -1 binary64))) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
1 |
#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 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 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 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -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 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
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(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
| 4 436× | lower-fma.f32 |
| 4 434× | lower-fma.f64 |
| 3 778× | lower-*.f32 |
| 3 774× | lower-*.f64 |
| 3 542× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 127 |
| 0 | 38 | 127 |
| 1 | 159 | 127 |
| 2 | 1085 | 127 |
| 0 | 8628 | 122 |
| 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) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(*.f64 x #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) |
| Outputs |
|---|
(*.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 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (neg.f64 z) z))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 y z) x x) (pow.f64 z #s(literal -1 binary64))) |
(*.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 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x)) |
(*.f64 x (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) |
(pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (*.f64 (-.f64 y z) (/.f64 x z))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) (-.f64 y z)))) (-.f64 (/.f64 x z) (*.f64 (/.f64 x z) (-.f64 y z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) (-.f64 y z))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (*.f64 (-.f64 y z) (/.f64 x z)))) (-.f64 (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (*.f64 (-.f64 y z) (/.f64 x z)) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x))) (neg.f64 (fma.f64 (neg.f64 x) y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (*.f64 (fma.f64 y x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y x (neg.f64 x)))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (fma.f64 (neg.f64 x) y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (fma.f64 y x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.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 #s(literal 1 binary64) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (fma.f64 y x (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) |
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (fma.f64 (neg.f64 x) y x))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) |
(fma.f64 (neg.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 y x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y x) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)) |
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) z) x) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) z)) |
(*.f64 x (/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) z)) |
(pow.f64 (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) z) |
(/.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 x (/.f64 z #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))))) |
(neg.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) z))) |
(neg.f64 (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) x) |
(*.f64 (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x))) |
(*.f64 x (neg.f64 (neg.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))))) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) |
(neg.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (neg.f64 x))) |
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal -1 binary64)) #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 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #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 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal -1 binary64)) #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 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(/.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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 z #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.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) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 z #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 z #s(literal 1 binary64))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(-.f64 (neg.f64 z) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
Compiled 15 612 to 2 152 computations (86.2% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 117 | 2 | 1 119 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 118 | 13 | 1 131 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 85.9% | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| ✓ | 52.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| 23.3% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| ✓ | 64.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ▶ | 41.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ▶ | 95.5% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
| ▶ | 39.3% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| 94.7% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| ▶ | 63.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| 38.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) | |
| ✓ | 42.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 162 to 149 computations (8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (fma.f64 (-.f64 y z) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) | |
| cost-diff | 512 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
| 5 692× | lower-fma.f32 |
| 5 690× | lower-fma.f64 |
| 2 204× | lower-*.f32 |
| 2 200× | lower-*.f64 |
| 1 398× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 145 |
| 0 | 42 | 145 |
| 1 | 73 | 139 |
| 2 | 113 | 137 |
| 3 | 289 | 137 |
| 4 | 728 | 137 |
| 5 | 1528 | 137 |
| 6 | 3204 | 137 |
| 7 | 4935 | 137 |
| 8 | 5998 | 137 |
| 9 | 6621 | 137 |
| 10 | 6983 | 137 |
| 11 | 7118 | 137 |
| 12 | 7387 | 137 |
| 13 | 7436 | 137 |
| 14 | 7827 | 137 |
| 0 | 8064 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) |
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
x |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
x |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 2.847342466348058 | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| accuracy | 36.94904335754816 | #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 8.99590866298393 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 8.99590866298393 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| accuracy | 36.123173473590164 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x z) x) | |
| accuracy | 23.34844180955544 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) | |
| accuracy | 2.847342466348058 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
| 46.0ms | 256× | 0 | valid |
Compiled 127 to 24 computations (81.1% saved)
ival-div: 16.0ms (49.5% of total)ival-mult: 9.0ms (27.9% of total)ival-sub: 4.0ms (12.4% of total)ival-add: 2.0ms (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 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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 #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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 (/ (* x (+ 1 y)) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ x z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<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 (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (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)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | -inf | ((/ x (* (/ 1 (- (- y z) -1)) z)) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (- (- y z) -1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 4.0ms | z | @ | -inf | ((/ x (* (/ 1 (- (- y z) -1)) z)) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (- (- y z) -1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | x | @ | -inf | ((/ x (* (/ 1 (- (- y z) -1)) z)) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (- (- y z) -1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | z | @ | inf | ((/ x (* (/ 1 (- (- y z) -1)) z)) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (- (- y z) -1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | z | @ | 0 | ((/ x (* (/ 1 (- (- y z) -1)) z)) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (- (- y z) -1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 1× | egg-herbie |
| 8 752× | lower-fma.f64 |
| 8 752× | lower-fma.f32 |
| 3 712× | lower-*.f64 |
| 3 712× | lower-*.f32 |
| 3 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 329 | 4671 |
| 1 | 1050 | 4100 |
| 2 | 3169 | 3870 |
| 0 | 8662 | 3635 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ 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 y)) |
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))) |
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ 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)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-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 z) |
(/ (- (* -1 (/ (+ 1 y) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z) |
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (* -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)))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-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) |
(/ -1 z) |
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (* -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 y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ 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))) |
(/ 1 (- 1 z)) |
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z))) |
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z))) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 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 (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ 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 y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ 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) |
(/ 1 y) |
(/ (- (+ 1 (/ z y)) (/ 1 y)) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y) |
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ 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 y) |
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y)) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ z (+ 1 y)) |
(/.f64 z (-.f64 y #s(literal -1 binary64))) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(/ 1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) |
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))) |
(+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))) |
(fma.f64 (+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
y |
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(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 3 994× | lower-fma.f32 |
| 3 992× | lower-fma.f64 |
| 3 802× | lower-*.f32 |
| 3 798× | lower-*.f64 |
| 3 666× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 126 |
| 0 | 42 | 120 |
| 1 | 177 | 118 |
| 2 | 1138 | 118 |
| 0 | 8582 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z) |
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
| Outputs |
|---|
(*.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 (/.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 x z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) z) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) z) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z))) |
(*.f64 (fma.f64 (-.f64 y z) x x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 y z) x x) (pow.f64 z #s(literal -1 binary64))) |
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(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(*.f64 #s(literal 1 binary64) #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
Compiled 18 539 to 2 278 computations (87.7% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 3 | 1 151 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 150 | 14 | 1 164 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ▶ | 85.9% | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
| ✓ | 52.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| ▶ | 23.3% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| ✓ | 64.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 41.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| 39.3% | (/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)) | |
| ✓ | 39.3% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| ▶ | 94.7% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ▶ | 38.5% | #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
| ✓ | 63.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 42.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ▶ | 31.0% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 140 to 133 computations (5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) z x) | |
| cost-diff | 0 | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| cost-diff | 320 | (fma.f64 y x (fma.f64 (neg.f64 x) z x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (- y z) 1) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) | |
| 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 | (-.f64 y z) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 5 320× | lower-fma.f32 |
| 5 316× | lower-fma.f64 |
| 2 760× | lower-*.f32 |
| 2 754× | lower-*.f64 |
| 968× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 149 |
| 0 | 48 | 148 |
| 1 | 91 | 147 |
| 2 | 143 | 147 |
| 3 | 305 | 147 |
| 4 | 596 | 147 |
| 5 | 1643 | 147 |
| 6 | 3788 | 147 |
| 7 | 5259 | 147 |
| 8 | 5491 | 147 |
| 9 | 5583 | 147 |
| 10 | 5641 | 147 |
| 11 | 5970 | 147 |
| 12 | 6962 | 147 |
| 13 | 7611 | 147 |
| 0 | 8047 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
x |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(fma.f64 y x (fma.f64 (neg.f64 x) z x)) |
y |
x |
(fma.f64 (neg.f64 x) z x) |
(neg.f64 x) |
z |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
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) |
x |
z |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 #s(approx (+ (- y z) 1) (neg.f64 z)) (/.f64 x z)) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
(*.f64 #s(approx (+ (- y z) 1) (neg.f64 z)) x) |
x |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 y x (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (-.f64 y z) x x) |
y |
x |
(fma.f64 (neg.f64 x) z x) |
(neg.f64 x) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (neg.f64 x) z x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.24999724760556022 | (fma.f64 y x (fma.f64 (neg.f64 x) z x)) | |
| accuracy | 8.99590866298393 | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) | |
| accuracy | 8.99590866298393 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) | |
| accuracy | 41.85222924594675 | #s(approx (+ (- y z) 1) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 6.321886162867663 | (*.f64 (/.f64 y z) x) | |
| accuracy | 36.02840590652508 | #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 23.34844180955544 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) | |
| accuracy | 28.163265182338076 | #s(approx (- (/ x z) x) (/.f64 x z)) | |
| accuracy | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.015625 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| accuracy | 3.392027361774566 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 85.0ms | 256× | 0 | valid |
Compiled 127 to 28 computations (78% saved)
ival-mult: 39.0ms (54.7% of total)ival-div: 22.0ms (30.8% of total)ival-sub: 4.0ms (5.6% of total)ival-add: 4.0ms (5.6% of total)ival-neg: 2.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #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 #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- y z) 1) (neg.f64 z)) (patch #s(approx (+ (- y z) 1) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (fma.f64 (neg.f64 x) z x)) (patch (fma.f64 y x (fma.f64 (neg.f64 x) z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) (patch (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) z x) (patch (fma.f64 (neg.f64 x) z x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) z x) (patch (fma.f64 (neg.f64 x) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (+ (* (- y z) x) x) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (neg z) (+ (* y x) (+ (* (neg x) z) x)) (/ (+ (* y x) (+ (* (neg x) z) x)) z) (+ (* (neg x) z) x) (neg x)) |
| 3.0ms | x | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (+ (* (- y z) x) x) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (neg z) (+ (* y x) (+ (* (neg x) z) x)) (/ (+ (* y x) (+ (* (neg x) z) x)) z) (+ (* (neg x) z) x) (neg x)) |
| 2.0ms | z | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (+ (* (- y z) x) x) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (neg z) (+ (* y x) (+ (* (neg x) z) x)) (/ (+ (* y x) (+ (* (neg x) z) x)) z) (+ (* (neg x) z) x) (neg x)) |
| 2.0ms | x | @ | 0 | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (+ (* (- y z) x) x) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (neg z) (+ (* y x) (+ (* (neg x) z) x)) (/ (+ (* y x) (+ (* (neg x) z) x)) z) (+ (* (neg x) z) x) (neg x)) |
| 2.0ms | y | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (+ (* (- y z) x) x) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (neg z) (+ (* y x) (+ (* (neg x) z) x)) (/ (+ (* y x) (+ (* (neg x) z) x)) z) (+ (* (neg x) z) x) (neg x)) |
| 1× | egg-herbie |
| 7 906× | lower-fma.f64 |
| 7 906× | lower-fma.f32 |
| 2 802× | lower-*.f64 |
| 2 802× | lower-*.f32 |
| 1 930× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 3688 |
| 1 | 514 | 3009 |
| 2 | 1534 | 2957 |
| 3 | 4383 | 2957 |
| 4 | 7377 | 2957 |
| 0 | 8045 | 2740 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y 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) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
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(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 x) |
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(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
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(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
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(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
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(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 (* x z)) |
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(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
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(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 x) |
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(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
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(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
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(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (+ x (* -1 (* x z))) z) |
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(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (- 1 z)) z) |
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(- 1 z) |
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(/ (+ x (* -1 (* x z))) z) |
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(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
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(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(* y (+ (* -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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z 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) 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 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -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))))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(/ (* x y) 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 (- (+ 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) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(* x (+ 1 (+ y (* -1 z)))) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(/ (* x (+ 1 (+ y (* -1 z)))) z) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -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 y) z) |
(/ (* x y) z) |
(/ (* x y) 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)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -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 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (- 1 z) z) |
(/.f64 (-.f64 #s(literal 1 binary64) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
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(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (+ z (* -1 y)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (+ z (* -1 y)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 060× | lower-/.f32 |
| 5 050× | lower-/.f64 |
| 4 360× | lower-fma.f32 |
| 4 356× | lower-fma.f64 |
| 4 240× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 0 | 48 | 134 |
| 1 | 204 | 133 |
| 2 | 1508 | 133 |
| 0 | 8606 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) |
#s(approx (+ (- y z) 1) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 y x (fma.f64 (neg.f64 x) z x)) |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(fma.f64 (neg.f64 x) z x) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (+.f64 (fma.f64 (-.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (+.f64 (fma.f64 (-.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z)) z)) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z)) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)) (/.f64 #s(literal -1 binary64) z)) |
(*.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 (fma.f64 (-.f64 y z) x x) z) (/.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)))) |
(*.f64 (fma.f64 (-.f64 y z) x x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal 1 binary64) y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z)) |
(*.f64 x (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) z)) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) z) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) z) x) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) (/.f64 x z)) |
(pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))) (fma.f64 (-.f64 y z) x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) (*.f64 z (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 z (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)) (neg.f64 z)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z (-.f64 (+.f64 #s(literal 1 binary64) y) z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) (-.f64 (fma.f64 (neg.f64 x) z x) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z) (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) z x)) z) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (neg.f64 x) z (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (neg.f64 x) z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 x) z (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (neg.f64 x) z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (neg.f64 x) z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x)))) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) z)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x z) x) |
(fma.f64 z (neg.f64 x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 x) z))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 x (*.f64 (neg.f64 x) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) z (neg.f64 x)))) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 (neg.f64 x) z) x) |
(+.f64 x (*.f64 (neg.f64 x) z)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 17 371 to 2 111 computations (87.8% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 132 | 1 | 1 133 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 133 | 14 | 1 147 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.9% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 62.1% | (/.f64 (fma.f64 y x #s(approx (+ (* (neg x) z) x) (*.f64 (neg.f64 z) x))) z) | |
| ✓ | 52.1% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| ✓ | 23.3% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
| ✓ | 64.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 41.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| 39.3% | (/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)) | |
| ✓ | 39.3% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| ✓ | 94.7% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ✓ | 38.5% | #s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
| ✓ | 63.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 42.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | 31.0% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 235 to 152 computations (35.3% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 y x #s(approx (+ (* (neg x) z) x) (*.f64 (neg.f64 z) x))) z) |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
4 calls:
| 24.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 11.0ms | x |
| 6.0ms | z |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 95.6% | 1 | y |
| 99.9% | 3 | z |
| 98.8% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 12 to 17 computations (-41.7% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 y x #s(approx (+ (* (neg x) z) x) (*.f64 (neg.f64 z) x))) z) |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 1 to 3 computations (-200% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 1 to 3 computations (-200% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 24.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 3 | y |
| 94.0% | 3 | z |
| 92.0% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 89.5% | 2 | x |
Compiled 12 to 17 computations (-41.7% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (neg.f64 z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 16.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 2 | x |
| 79.7% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 89.5% | 3 | y |
| 89.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
2 calls:
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | y |
| 71.9% | 3 | z |
Compiled 2 to 6 computations (-200% 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) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (- y z) x) x) z) (*.f64 (/.f64 y z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
4 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 1 | z |
| 63.5% | 1 | x |
| 63.5% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 63.5% | 1 | y |
Compiled 12 to 17 computations (-41.7% 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:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 4 | y |
| 36.8% | 2 | x |
| 50.7% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 62.3% | 3 | z |
Compiled 12 to 17 computations (-41.7% 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)) |
4 calls:
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.7% | 1 | x |
| 34.7% | 1 | y |
| 34.7% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 34.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 7.646242660397196e-42 | 1.1266986984684213e-40 |
| 5.0ms | 80× | 0 | valid |
Compiled 102 to 104 computations (-2% saved)
ival-mult: 2.0ms (57.2% of total)ival-div: 1.0ms (28.6% of total)ival-sub: 0.0ms (0% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 8.691083198070846e+26 | 8.699454817564774e+28 |
| 5.0ms | 112× | 0 | valid |
Compiled 138 to 140 computations (-1.4% saved)
ival-sub: 1.0ms (37% of total)ival-div: 1.0ms (37% of total)ival-mult: 1.0ms (37% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.691083198070846e+26 | 8.699454817564774e+28 |
Compiled 131 to 126 computations (3.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 2.5916731023927633e+218 | 2.8457711886402017e+240 |
| 12.0ms | -3.5671606725927654e+89 | -2.719803384075899e+81 |
| 53.0ms | 320× | 0 | valid |
Compiled 232 to 274 computations (-18.1% saved)
ival-sub: 2.0ms (25% of total)ival-div: 2.0ms (25% of total)ival-mult: 2.0ms (25% of total)ival-add: 1.0ms (12.5% 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 |
|---|---|---|
| 12.0ms | 3.1221424507348443e+32 | 1.6095853127793147e+37 |
| 7.0ms | -7.09472629289652e+50 | -2.7889107033990537e+50 |
| 10.0ms | 208× | 0 | valid |
Compiled 142 to 183 computations (-28.9% saved)
ival-sub: 1.0ms (19.3% of total)ival-div: 1.0ms (19.3% of total)ival-add: 1.0ms (19.3% of total)ival-mult: 1.0ms (19.3% 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 |
|---|---|---|
| 10.0ms | 1.4198782693769153e+41 | 2.2150798316489882e+45 |
| 9.0ms | -479593319357.2492 | -203915404824.13855 |
| 10.0ms | 208× | 0 | valid |
Compiled 168 to 196 computations (-16.7% saved)
ival-sub: 1.0ms (18.7% of total)ival-div: 1.0ms (18.7% of total)ival-add: 1.0ms (18.7% of total)ival-mult: 1.0ms (18.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4198782693769153e+41 | 2.2150798316489882e+45 |
| 0.0ms | -479593319357.2492 | -203915404824.13855 |
Compiled 168 to 196 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1884.147545989085 | 5770.6251490378 |
| 14.0ms | -117166.03641445482 | -0.7606927217425423 |
| 19.0ms | 224× | 0 | valid |
Compiled 124 to 196 computations (-58.1% saved)
ival-div: 10.0ms (73.4% of total)ival-sub: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)ival-mult: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative-binary64-+.f64 |
| 12× | *-commutative-binary64-*.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 333 |
| 1 | 84 | 333 |
| 2 | 93 | 333 |
| 3 | 97 | 333 |
| 4 | 99 | 333 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1225996432692711/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 8799999999999999457223507968 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 x #s(literal 8799999999999999457223507968 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 z #s(literal -350000000000000005231171272284854581438471139549061677986731519064154912370502263149428736 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 260000000000000001895439726097902107337327233102457113094270527822596381626604233083028792892840452753560036016104385080801084830663244433131228700771918880319597949445451375614925109045060754772348988269573542953091072 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -279999999999999979824980686778662580981931284889600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1249999999999999931969038733803520 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -250000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 380000000000000013961720719455397691260928 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z))) |
(if (<=.f64 y #s(literal -250000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 380000000000000013961720719455397691260928 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1900 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 1225996432692711/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 1225996432692711/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) x) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 8799999999999999457223507968 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 x #s(literal 8799999999999999457223507968 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 x #s(literal 8799999999999999457223507968 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 z #s(literal -350000000000000005231171272284854581438471139549061677986731519064154912370502263149428736 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 260000000000000001895439726097902107337327233102457113094270527822596381626604233083028792892840452753560036016104385080801084830663244433131228700771918880319597949445451375614925109045060754772348988269573542953091072 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -279999999999999979824980686778662580981931284889600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1249999999999999931969038733803520 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -250000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 380000000000000013961720719455397691260928 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z))) |
(if (<=.f64 y #s(literal -250000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 380000000000000013961720719455397691260928 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1900 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)) |
| 8 752× | lower-fma.f64 |
| 8 752× | lower-fma.f32 |
| 7 342× | lower-fma.f64 |
| 7 342× | lower-fma.f32 |
| 3 876× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 0 | 329 | 4671 |
| 1 | 1050 | 4100 |
| 2 | 3169 | 3870 |
| 0 | 8662 | 3635 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 352 to 184 computations (47.7% saved)
Compiled 512 to 210 computations (59% saved)
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