
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)
| 634.0ms | 8 256× | 0 | valid |
ival-div: 163.0ms (46.6% of total)ival-sub: 80.0ms (22.9% of total)ival-mult: 52.0ms (14.9% of total)ival-add: 40.0ms (11.4% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 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 | 24 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 41 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 24 | 0 |
| - | 0 | 232 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 24 | 0 | 0 |
| - | 0 | 0 | 232 |
| number | freq |
|---|---|
| 0 | 232 |
| 1 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-sub: 9.0ms (47.3% of total)ival-div: 3.0ms (15.8% of total)ival-mult: 3.0ms (15.8% of total)ival-add: 2.0ms (10.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 |
|---|---|---|
| ▶ | 91.1% | (/.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 | 0.00390625 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 5.68769936839198 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 13.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (32.5% of total)ival-mult: 2.0ms (32.5% of total)ival-add: 1.0ms (16.2% of total)ival-sub: 1.0ms (16.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 |
|---|
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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 |
|---|---|---|
| 91.1% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| 91.0% | (/.f64 (*.f64 x (fma.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal 1 binary64))) z) | |
| ▶ | 65.8% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
| 61.6% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) | |
| ▶ | 65.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 35.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| ▶ | 97.0% | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 96.5% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| 91.0% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x))) | |
| 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 36.7% | #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 198 to 176 computations (11.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) 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)))) |
| 9 336× | lower-fma.f32 |
| 9 334× | lower-fma.f64 |
| 2 184× | lower-*.f32 |
| 2 180× | lower-*.f64 |
| 1 736× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 0 | 38 | 142 |
| 1 | 73 | 142 |
| 2 | 121 | 142 |
| 3 | 250 | 142 |
| 4 | 504 | 142 |
| 5 | 1114 | 139 |
| 6 | 3127 | 139 |
| 7 | 5325 | 139 |
| 8 | 6523 | 139 |
| 9 | 6855 | 139 |
| 10 | 6932 | 139 |
| 11 | 6962 | 139 |
| 12 | 6971 | 139 |
| 13 | 7075 | 139 |
| 14 | 7377 | 139 |
| 15 | 7420 | 139 |
| 16 | 7440 | 139 |
| 17 | 7456 | 139 |
| 18 | 7484 | 139 |
| 19 | 7568 | 139 |
| 20 | 7838 | 139 |
| 21 | 7848 | 139 |
| 0 | 8242 | 137 |
| 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 y #s(literal -1 binary64)))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) |
x |
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#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 y #s(literal -1 binary64)))) z) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z)) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x) |
x |
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 5.68769936839198 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) | |
| accuracy | 21.467726637956538 | #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 5.68769936839198 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| accuracy | 20.820631873828567 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 6.392980601524788 | (*.f64 (/.f64 x z) y) | |
| accuracy | 40.735332848972135 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 41.76007390294437 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 1.9224347787329004 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 36.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 114 to 20 computations (82.5% saved)
ival-div: 6.0ms (29.5% of total)ival-mult: 6.0ms (29.5% of total)ival-sub: 4.0ms (19.7% of total)ival-add: 2.0ms (9.8% of total)ival-neg: 1.0ms (4.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) 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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) 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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) 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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf 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>) () ())) ()) |
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#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 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #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 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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) (- y -1)) |
| 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) (- y -1)) |
| 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) (- y -1)) |
| 2.0ms | 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) (- y -1)) |
| 1.0ms | 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) (- y -1)) |
| 1× | egg-herbie |
| 12 738× | lower-fma.f64 |
| 12 738× | lower-fma.f32 |
| 4 260× | lower-*.f64 |
| 4 260× | lower-*.f32 |
| 2 388× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 3704 |
| 1 | 663 | 3056 |
| 2 | 1967 | 3033 |
| 3 | 6774 | 3017 |
| 0 | 8294 | 2765 |
| 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 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 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))))) |
(/ (* 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) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 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) |
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))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* 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))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -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 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)))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #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 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) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #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)) |
(/.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) |
(* -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 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -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))))) |
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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)) 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) |
| 4 736× | lower-fma.f32 |
| 4 734× | lower-fma.f64 |
| 3 710× | lower-*.f32 |
| 3 706× | lower-*.f64 |
| 3 540× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 127 |
| 0 | 38 | 127 |
| 1 | 158 | 127 |
| 2 | 1070 | 127 |
| 0 | 8644 | 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 y #s(literal -1 binary64)))) z) |
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 15 696 to 2 177 computations (86.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 115 | 4 | 1 119 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 118 | 13 | 1 131 |
| Status | Accuracy | Program |
|---|---|---|
| 91.1% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| ✓ | 65.8% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
| ▶ | 61.6% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| ✓ | 65.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ▶ | 35.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| 33.4% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| ▶ | 96.5% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 24.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 36.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ▶ | 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| 32.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) | |
| ✓ | 36.7% | #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 148 to 143 computations (3.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 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 | (*.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 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) |
| 7 632× | lower-fma.f64 |
| 7 632× | lower-fma.f32 |
| 2 612× | lower-*.f32 |
| 2 606× | lower-*.f64 |
| 1 616× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 148 |
| 0 | 39 | 148 |
| 1 | 74 | 148 |
| 2 | 113 | 148 |
| 3 | 253 | 148 |
| 4 | 506 | 148 |
| 5 | 1266 | 148 |
| 6 | 3223 | 148 |
| 7 | 4946 | 148 |
| 8 | 5834 | 148 |
| 9 | 6861 | 148 |
| 0 | 8326 | 143 |
| 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) (-.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 (*.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 |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (fma.f64 x (-.f64 y z) x) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.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) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
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 |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 x z) y) |
y |
(/.f64 z x) |
z |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 6.538590033938485 | (/.f64 y (/.f64 z x)) | |
| accuracy | 40.735332848972135 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0234375 | (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 5.68769936839198 | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) | |
| accuracy | 21.02130441610918 | #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 5.68769936839198 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| accuracy | 41.249676926869654 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 x z) x) | |
| accuracy | 19.8655078743298 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| accuracy | 2.268021003113977 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 43.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 118 to 20 computations (83.1% saved)
ival-div: 12.0ms (39.8% of total)ival-sub: 12.0ms (39.8% of total)ival-mult: 5.0ms (16.6% of total)ival-add: 1.0ms (3.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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) (-.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 (*.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>) () ()) |
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z 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) (-.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 (+ 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>) () ())) ()) |
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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)) (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 (*.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>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* 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 (/ (* 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>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x)) |
| 4.0ms | 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) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x)) |
| 2.0ms | 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) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z 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) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x)) |
| 1.0ms | z | @ | 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) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x)) |
| 1× | egg-herbie |
| 11 432× | lower-fma.f64 |
| 11 432× | lower-fma.f32 |
| 3 088× | lower-*.f64 |
| 3 088× | lower-*.f32 |
| 1 850× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 3607 |
| 1 | 323 | 2951 |
| 2 | 978 | 2899 |
| 3 | 3055 | 2899 |
| 4 | 5581 | 2899 |
| 0 | 8078 | 2682 |
| 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 (+ 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)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ 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 (+ 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)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -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 (+ 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 y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- 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 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) |
(/ (* 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 y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* x y) |
(* 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 (+ (/ 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) |
(/ (* 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) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* x y) |
(* -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 (/ (* 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) 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 (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) 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 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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 (- (+ 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 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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) |
(/ (* 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 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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 z) #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(+ 1 y) |
(-.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) |
(/ (* 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 (+ 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 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)) |
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) |
(/ (* 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 (+ 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 x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* -1 x) |
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(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
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)) |
(/ (* 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 y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 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 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 (- (+ 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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z 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 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 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 (- (+ 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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z 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 (- 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) |
(/ (* 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) 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 (- (+ 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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 3 940× | lower-/.f32 |
| 3 928× | lower-/.f64 |
| 3 626× | lower-fma.f64 |
| 3 626× | lower-fma.f32 |
| 3 592× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 133 |
| 0 | 39 | 133 |
| 1 | 161 | 133 |
| 2 | 1102 | 133 |
| 0 | 8708 | 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) (-.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 (*.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) |
(/.f64 y (/.f64 z x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(/.f64 z x) |
| Outputs |
|---|
#<batchref> |
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Compiled 13 697 to 1 993 computations (85.4% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 029 | 3 | 1 032 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 030 | 15 | 1 045 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.1% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 65.8% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
| ✓ | 61.6% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| ✓ | 65.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 35.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| 33.4% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| ✓ | 96.5% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ▶ | 32.9% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ▶ | 24.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
| ✓ | 36.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ✓ | 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 36.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ▶ | 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
| ✓ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ▶ | 36.6% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 139 to 137 computations (1.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 x) x) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #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 | (fma.f64 (-.f64 y z) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 8 618× | lower-fma.f32 |
| 8 614× | lower-fma.f64 |
| 3 116× | lower-*.f32 |
| 3 112× | lower-*.f64 |
| 1 914× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 0 | 44 | 149 |
| 1 | 85 | 137 |
| 2 | 164 | 132 |
| 3 | 448 | 132 |
| 4 | 1578 | 132 |
| 5 | 4662 | 132 |
| 0 | 8120 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(neg.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) |
(-.f64 (/.f64 x z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x) |
(-.f64 x (/.f64 x z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) | |
| accuracy | 19.8655078743298 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 30.231510169003197 | (/.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 41.76007390294437 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 2.268021003113977 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| accuracy | 42.004076585727034 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 19.8655078743298 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) | |
| accuracy | 29.154346633601207 | #s(approx (- (/ x z) x) (/.f64 x z)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.01171875 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 5.68769936839198 | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 45.0ms | 256× | 0 | valid |
Compiled 117 to 27 computations (76.9% saved)
ival-div: 11.0ms (34.6% of total)ival-sub: 7.0ms (22% of total)ival-mult: 7.0ms (22% of total)ival-add: 3.0ms (9.4% of total)ival-neg: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#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>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<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>) () ())) ()) |
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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 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x 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 #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* (neg x) x) x) (/ (* x (+ (- y z) 1)) z) (* (neg x) x) (neg x) (+ (* (/ -1 z) x) x) (neg (+ (* (/ -1 z) x) x)) (/ (* x (+ (- y z) 1)) z) (/ -1 z)) |
| 2.0ms | x | @ | -inf | ((/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* (neg x) x) x) (/ (* x (+ (- y z) 1)) z) (* (neg x) x) (neg x) (+ (* (/ -1 z) x) x) (neg (+ (* (/ -1 z) x) x)) (/ (* x (+ (- y z) 1)) z) (/ -1 z)) |
| 2.0ms | x | @ | inf | ((/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* (neg x) x) x) (/ (* x (+ (- y z) 1)) z) (* (neg x) x) (neg x) (+ (* (/ -1 z) x) x) (neg (+ (* (/ -1 z) x) x)) (/ (* x (+ (- y z) 1)) z) (/ -1 z)) |
| 2.0ms | z | @ | -inf | ((/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* (neg x) x) x) (/ (* x (+ (- y z) 1)) z) (* (neg x) x) (neg x) (+ (* (/ -1 z) x) x) (neg (+ (* (/ -1 z) x) x)) (/ (* x (+ (- y z) 1)) z) (/ -1 z)) |
| 2.0ms | z | @ | 0 | ((/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* (neg x) x) x) (/ (* x (+ (- y z) 1)) z) (* (neg x) x) (neg x) (+ (* (/ -1 z) x) x) (neg (+ (* (/ -1 z) x) x)) (/ (* x (+ (- y z) 1)) z) (/ -1 z)) |
| 1× | egg-herbie |
| 8 200× | lower-fma.f64 |
| 8 200× | lower-fma.f32 |
| 3 172× | lower-*.f64 |
| 3 172× | lower-*.f32 |
| 1 352× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 3325 |
| 1 | 379 | 2704 |
| 2 | 1176 | 2568 |
| 3 | 3725 | 2568 |
| 4 | 7054 | 2568 |
| 0 | 8084 | 2376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* 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) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* -1 (* x z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* -1 (/ x z)) |
(/ (+ (* -1 x) (* x z)) z) |
(/ (+ (* -1 x) (* x z)) z) |
(/ (+ (* -1 x) (* x z)) z) |
(/ x z) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 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 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
x |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(* -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 z) |
(/ -1 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 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
x |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(* -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 z) |
(/ -1 z) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ (* x (- 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)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (- 1 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) |
(* 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)))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (/ 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) |
(* -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)))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* 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 (- (+ 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 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) |
(* -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) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) 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 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) |
(* -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) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(* x (- (/ 1 z) 1)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(/ (* x (- (+ 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) |
(* -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) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ (* 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) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ (+ 1 (+ y (* -1 z))) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x (+ 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 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (+ (* -1 x) (* x z)) z) |
(-.f64 x (/.f64 x z)) |
(/ (+ (* -1 x) (* x z)) z) |
(-.f64 x (/.f64 x z)) |
(/ (+ (* -1 x) (* x z)) z) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(-.f64 (/.f64 x z) x) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(-.f64 (/.f64 x z) x) |
(/ (- (* -1 (* x z)) (* -1 x)) z) |
(-.f64 (/.f64 x z) 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 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 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 (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(- (+ (/ 1 z) (/ y z)) 1) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 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 |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 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) |
(* -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) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 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 (+ 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) |
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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) |
(* -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) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(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) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 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 (- (+ 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) |
| 6 168× | lower-fma.f32 |
| 6 164× | lower-fma.f64 |
| 4 802× | lower-*.f32 |
| 4 798× | lower-*.f64 |
| 4 752× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 136 |
| 0 | 44 | 137 |
| 1 | 185 | 121 |
| 2 | 1340 | 121 |
| 0 | 8609 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.f64 #s(literal -1 binary64) z) |
| Outputs |
|---|
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Compiled 16 705 to 2 656 computations (84.1% saved)
15 alts after pruning (1 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 193 | 0 | 1 193 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 193 | 15 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.1% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 65.8% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
| ✓ | 61.6% | (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
| ✓ | 65.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 35.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| 33.4% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| ✓ | 96.5% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ✓ | 32.9% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ✓ | 24.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
| ✓ | 36.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ✓ | 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 36.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 68.9% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
| ✓ | 34.7% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | 36.6% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 251 to 163 computations (35.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(*.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 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
4 calls:
| 12.0ms | y |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 97.0% | 1 | y |
| 97.0% | 1 | z |
| 99.1% | 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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(*.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 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
1 calls:
| 8.0ms | 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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
4 calls:
| 7.0ms | y |
| 5.0ms | x |
| 5.0ms | z |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 3 | y |
| 96.0% | 3 | z |
| 91.1% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 93.6% | 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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 75.8% | 4 | x |
| 89.5% | 3 | z |
| 87.8% | 3 | 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))) |
#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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) |
(/.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)) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | z |
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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
2 calls:
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 3 | y |
| 68.9% | 1 | 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)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
#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 |
|---|---|---|
| 87.7% | 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)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 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:
| 23.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 1 | z |
| 68.9% | 1 | x |
| 68.9% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 68.9% | 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:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 3 | y |
| 55.7% | 4 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 38.2% | 2 | x |
| 67.6% | 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 | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 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× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.846380630874943e-128 | 2.9553220245574064e-127 |
| 5.0ms | 96× | 0 | valid |
Compiled 114 to 110 computations (3.5% saved)
ival-sub: 1.0ms (40.8% of total)ival-div: 1.0ms (40.8% of total)ival-mult: 1.0ms (40.8% 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 |
|---|---|---|
| 4.0ms | 7.598365384045882e-71 | 1.117965387058317e-70 |
| 2.0ms | 48× | 0 | valid |
Compiled 63 to 62 computations (1.6% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.857143945307353e+79 | 9.315795365802554e+84 |
| 15.0ms | -3926.248288186137 | -1.6665639213732188e-5 |
| 16.0ms | 288× | 0 | valid |
Compiled 264 to 266 computations (-0.8% saved)
ival-sub: 2.0ms (28.5% of total)ival-div: 2.0ms (28.5% of total)ival-mult: 2.0ms (28.5% of total)ival-add: 1.0ms (14.3% 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 |
|---|---|---|
| 39.0ms | 1.2722143207857272e+92 | 2.7657975267637796e+99 |
| 9.0ms | -1.1100127084238348e+23 | -1.8480857534896983e+21 |
| 12.0ms | 256× | 0 | valid |
Compiled 188 to 254 computations (-35.1% saved)
ival-div: 2.0ms (31.7% of total)ival-mult: 2.0ms (31.7% of total)ival-sub: 1.0ms (15.8% of total)ival-add: 1.0ms (15.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2722143207857272e+92 | 2.7657975267637796e+99 |
| 1.0ms | -1.1100127084238348e+23 | -1.8480857534896983e+21 |
Compiled 172 to 222 computations (-29.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.1335131089517342e+105 | 2.9082387332738412e+107 |
| 13.0ms | -6.138939192430687e+69 | -5.95249350926312e+67 |
| 11.0ms | 240× | 0 | valid |
Compiled 192 to 224 computations (-16.7% saved)
ival-div: 2.0ms (33.7% of total)ival-mult: 2.0ms (33.7% of total)ival-sub: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1335131089517342e+105 | 2.9082387332738412e+107 |
| 1.0ms | -6.138939192430687e+69 | -5.95249350926312e+67 |
Compiled 192 to 224 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1335131089517342e+105 | 2.9082387332738412e+107 |
| 1.0ms | -6.138939192430687e+69 | -5.95249350926312e+67 |
Compiled 192 to 224 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0019370079516886332 | 798442.172991191 |
| 10.0ms | -3.6511436449852014e-6 | -3.0174998212053845e-7 |
| 11.0ms | 240× | 0 | valid |
Compiled 132 to 209 computations (-58.3% saved)
ival-div: 2.0ms (34.4% of total)ival-sub: 1.0ms (17.2% of total)ival-add: 1.0ms (17.2% of total)ival-mult: 1.0ms (17.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 14× | 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 | 74 | 407 |
| 1 | 90 | 407 |
| 2 | 100 | 407 |
| 3 | 104 | 407 |
| 4 | 106 | 407 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 4146072293388427/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 y #s(literal -2508757194024499/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 58999999999999999884059455592240209784669882092320436969278997446872568692736000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 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 -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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)))) |
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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)))) |
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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 -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 4146072293388427/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 y #s(literal -2508757194024499/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 58999999999999999884059455592240209784669882092320436969278997446872568692736000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))) |
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 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 -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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)))) |
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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)))) |
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 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 -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| 12 738× | lower-fma.f64 |
| 12 738× | lower-fma.f32 |
| 11 432× | lower-fma.f64 |
| 11 432× | lower-fma.f32 |
| 7 342× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 3704 |
| 1 | 663 | 3056 |
| 2 | 1967 | 3033 |
| 3 | 6774 | 3017 |
| 0 | 8294 | 2765 |
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 0 | 106 | 3607 |
| 1 | 323 | 2951 |
| 2 | 978 | 2899 |
| 3 | 3055 | 2899 |
| 4 | 5581 | 2899 |
| 0 | 8078 | 2682 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 404 to 216 computations (46.5% saved)
Compiled 576 to 216 computations (62.5% saved)
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