
Time bar (total: 7.4s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-div: 262.0ms (57.4% of total)ival-sub: 71.0ms (15.6% of total)ival-mult: 67.0ms (14.7% of total)ival-add: 42.0ms (9.2% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 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 | 29 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 29 | 0 |
| - | 0 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 0 | 0 |
| - | 0 | 0 | 227 |
| number | freq |
|---|---|
| 0 | 227 |
| 1 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 5.0ms (34% of total)ival-sub: 3.0ms (20.4% of total)ival-mult: 3.0ms (20.4% of total)ival-add: 2.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 92 |
| 1 | 135 | 86 |
| 2 | 419 | 83 |
| 3 | 1826 | 81 |
| 4 | 5081 | 81 |
| 5 | 7500 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 57 | 9 |
| 3 | 147 | 9 |
| 4 | 333 | 9 |
| 5 | 750 | 9 |
| 6 | 1629 | 9 |
| 7 | 2866 | 9 |
| 8 | 4292 | 9 |
| 9 | 5087 | 9 |
| 10 | 5604 | 9 |
| 11 | 5681 | 9 |
| 12 | 5711 | 9 |
| 13 | 5715 | 9 |
| 14 | 5807 | 9 |
| 15 | 5993 | 9 |
| 16 | 6027 | 9 |
| 17 | 6043 | 9 |
| 18 | 6147 | 9 |
| 19 | 6453 | 9 |
| 20 | 6465 | 9 |
| 21 | 6465 | 9 |
| 0 | 8603 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(negabs x)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | |
| cost-diff | 128 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 14 244× | lower-fma.f64 |
| 14 244× | lower-fma.f32 |
| 3 296× | lower-/.f32 |
| 3 294× | lower-/.f64 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 57 | 28 |
| 3 | 147 | 28 |
| 4 | 333 | 28 |
| 5 | 750 | 28 |
| 6 | 1629 | 28 |
| 7 | 2866 | 28 |
| 8 | 4292 | 28 |
| 9 | 5087 | 28 |
| 10 | 5604 | 28 |
| 11 | 5681 | 28 |
| 12 | 5711 | 28 |
| 13 | 5715 | 28 |
| 14 | 5807 | 28 |
| 15 | 5993 | 28 |
| 16 | 6027 | 28 |
| 17 | 6043 | 28 |
| 18 | 6147 | 28 |
| 19 | 6453 | 28 |
| 20 | 6465 | 28 |
| 21 | 6465 | 28 |
| 0 | 8603 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y z) x x) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 6.881124089195567 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (32% of total)ival-mult: 2.0ms (32% of total)ival-sub: 1.0ms (16% of total)ival-add: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- 1 z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 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 | x | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1× | egg-herbie |
| 7 342× | lower-fma.f64 |
| 7 342× | lower-fma.f32 |
| 2 540× | lower-*.f64 |
| 2 540× | lower-*.f32 |
| 1 510× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
(+ 1 (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(- 1 z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 3 876× | lower-*.f32 |
| 3 874× | lower-*.f64 |
| 3 848× | lower-fma.f64 |
| 3 848× | lower-fma.f32 |
| 3 200× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x)) |
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y z) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y z) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) x) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x)) |
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(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) x) |
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(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) z) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 z y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) y) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (-.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y (-.f64 z #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) y) |
(+.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (-.f64 y z)) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(+.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z)) |
(*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y y))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y))) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (*.f64 (-.f64 y z) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) (fma.f64 z z (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y))) (fma.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal 1 binary64)) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 z y) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(neg.f64 (neg.f64 (-.f64 y z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 y z) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 9 010 to 1 423 computations (84.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 483 | 10 | 493 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 484 | 10 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| 25.9% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) | |
| ▶ | 60.3% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 39.1% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| ▶ | 97.3% | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 88.8% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x))) | |
| ▶ | 97.3% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 66.4% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 39.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ▶ | 41.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 188 to 148 computations (21.3% saved)
| 1× | egg-herbie |
Found 16 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 (-.f64 y z) #s(literal -1 binary64)) z) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| 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)))) |
| 4 040× | lower-fma.f32 |
| 4 038× | lower-fma.f64 |
| 1 744× | lower-*.f32 |
| 1 740× | lower-*.f64 |
| 1 326× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 130 |
| 0 | 35 | 130 |
| 1 | 70 | 130 |
| 2 | 115 | 130 |
| 3 | 249 | 130 |
| 4 | 512 | 130 |
| 5 | 1381 | 126 |
| 6 | 3470 | 126 |
| 7 | 5972 | 126 |
| 8 | 6701 | 126 |
| 9 | 7022 | 126 |
| 10 | 7127 | 126 |
| 11 | 7188 | 126 |
| 12 | 7423 | 126 |
| 13 | 7640 | 126 |
| 14 | 7962 | 126 |
| 0 | 8004 | 124 |
| 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 (-.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 |
| 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 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| accuracy | 1.74198151737559 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 6.881124089195567 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| accuracy | 24.02776373721788 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 5.701308637149987 | (*.f64 (/.f64 x z) y) | |
| accuracy | 37.97100962209786 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 37.65141243133303 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 1.71073151737559 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 35.0ms | 256× | 0 | valid |
Compiled 114 to 21 computations (81.6% saved)
ival-div: 8.0ms (37% of total)ival-mult: 6.0ms (27.8% of total)ival-sub: 4.0ms (18.5% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 1.0ms (4.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #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 (-.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>) () ()) |
| 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 (-.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 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 (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (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 (-.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 (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z)) |
| 2.0ms | x | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z)) |
| 2.0ms | y | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z)) |
| 2.0ms | z | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z)) |
| 1.0ms | 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) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z)) |
| 1× | egg-herbie |
| 12 174× | lower-fma.f64 |
| 12 174× | lower-fma.f32 |
| 4 914× | lower-*.f64 |
| 4 914× | lower-*.f32 |
| 2 342× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 3602 |
| 1 | 690 | 3134 |
| 2 | 2071 | 3046 |
| 3 | 6985 | 3025 |
| 0 | 8043 | 2828 |
| 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) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/ (+ 1 (+ y (* -1 z))) 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 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 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 |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (* 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)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ (* 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)))) |
(/ 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))) |
(/ (* 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)))))) |
(/ 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)))) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 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) |
| 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) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
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(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(/ (* 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 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y (/.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y (/.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y (/.f64 y z)) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(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)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) 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) |
| 5 738× | lower-fma.f32 |
| 5 736× | lower-fma.f64 |
| 4 002× | lower-*.f32 |
| 3 998× | lower-*.f64 |
| 3 344× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 107 |
| 0 | 35 | 107 |
| 1 | 142 | 107 |
| 2 | 997 | 107 |
| 0 | 8752 | 101 |
| 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 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
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(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) z) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z (+.f64 y z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (neg.f64 z)) (*.f64 (*.f64 z (+.f64 y z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (+.f64 y z)) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) z) (*.f64 (*.f64 z (+.f64 y z)) #s(literal -1 binary64))) (*.f64 (*.f64 z (+.f64 y z)) z)) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) #s(literal 1 binary64))) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 z)) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) #s(literal 1 binary64))) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) z) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z)))) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 z (-.f64 y z)) #s(literal 1 binary64))) (*.f64 (/.f64 z (-.f64 y z)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 z (-.f64 y z)) #s(literal 1 binary64))) (*.f64 (/.f64 z (-.f64 y z)) (neg.f64 z))) |
(/.f64 (-.f64 z (*.f64 (/.f64 z (-.f64 y z)) #s(literal -1 binary64))) (*.f64 (/.f64 z (-.f64 y z)) z)) |
(/.f64 (-.f64 (*.f64 (-.f64 y z) (*.f64 z #s(literal -1 binary64))) z) (*.f64 z (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) z) z) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) z) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y z) (neg.f64 z) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 y z) z (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 z z)) |
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 z (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 z #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (neg.f64 z)) |
(/.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) z)))) (-.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) z (*.f64 (neg.f64 z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal -1 binary64) (-.f64 y z)))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 y z) z)) |
(fma.f64 (/.f64 (+.f64 y z) z) (/.f64 (-.f64 y z) (+.f64 y z)) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) z) (/.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y z) (/.f64 #s(literal -1 binary64) z) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y z))) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y z) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) y (*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y y (*.f64 z (+.f64 y z))))) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal -1 binary64) y z) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal -1 binary64) y z))) |
(fma.f64 (/.f64 (-.f64 y z) z) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 y z) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) z) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) z)) |
(fma.f64 (-.f64 y z) (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(-.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (-.f64 y z) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) z))))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) z)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 y z) z) (*.f64 z z)) (/.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (*.f64 z (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) z) (/.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) z)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) z)) |
(-.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 (/.f64 y z) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) |
(-.f64 (/.f64 (-.f64 y z) z) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 y z) z) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 z))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y z))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y z)) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal -1 binary64) y z)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal -1 binary64) y z))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(+.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(+.f64 (/.f64 y z) (neg.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 y z) z)) |
(+.f64 (/.f64 (-.f64 y z) z) (pow.f64 z #s(literal -1 binary64))) |
Compiled 25 102 to 2 771 computations (89% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 584 | 4 | 1 588 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 587 | 11 | 1 598 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 60.3% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ▶ | 39.1% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ▶ | 97.2% | (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
| 38.0% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| ✓ | 97.3% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ▶ | 38.0% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| 39.1% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) | |
| ▶ | 66.4% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 39.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 41.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 131 to 121 computations (7.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (fma.f64 (-.f64 y z) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| cost-diff | 0 | (*.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 y z) | |
| cost-diff | 0 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (-.f64 y z)) | |
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) | |
| cost-diff | 512 | (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 7168 | (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
| 16 756× | lower-fma.f32 |
| 16 754× | lower-fma.f64 |
| 2 652× | lower-+.f64 |
| 2 652× | lower-+.f32 |
| 2 540× | lower-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 151 |
| 0 | 44 | 153 |
| 1 | 81 | 153 |
| 2 | 139 | 144 |
| 3 | 390 | 139 |
| 4 | 1241 | 139 |
| 5 | 3630 | 139 |
| 6 | 4753 | 139 |
| 7 | 5390 | 139 |
| 8 | 5825 | 139 |
| 9 | 6119 | 139 |
| 10 | 6461 | 139 |
| 0 | 8024 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
x |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (-.f64 y z)) |
#s(literal -1 binary64) |
(-.f64 y z) |
y |
z |
(/.f64 #s(literal -1 binary64) z) |
#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 (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
x |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (-.f64 y z)) |
#s(literal -1 binary64) |
(-.f64 y z) |
y |
z |
(/.f64 #s(literal -1 binary64) z) |
#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 (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 6.881124089195567 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 6.881124089195567 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| accuracy | 37.93822870662529 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 1.74198151737559 | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) | |
| accuracy | 38.691086153028316 | #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x z) x) | |
| accuracy | 21.507677710442103 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) (-.f64 y z)) | |
| accuracy | 0.00390625 | (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) | |
| accuracy | 0.140625 | (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 1.71073151737559 | (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
| 81.0ms | 256× | 0 | valid |
Compiled 133 to 26 computations (80.5% saved)
ival-div: 21.0ms (53.9% of total)ival-mult: 6.0ms (15.4% of total)ival-sub: 5.0ms (12.8% of total)ival-pow: 4.0ms (10.3% of total)ival-add: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (-.f64 y z)) (patch (-.f64 #s(literal -1 binary64) (-.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 (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ z (+ 1 y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (+ 1 y)) (taylor 0 z) (#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 (/ z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* z (- (* -1 (/ z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 y)) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) (-.f64 y z)) (patch (-.f64 #s(literal -1 binary64) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- z (+ 1 y)) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) (-.f64 y z)) (patch (-.f64 #s(literal -1 binary64) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- z (+ 1 y)) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) (-.f64 y z)) (patch (-.f64 #s(literal -1 binary64) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- z (+ 1 y)) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) (-.f64 y z)) (patch (-.f64 #s(literal -1 binary64) (-.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 (/ (- (- 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 z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 y) z) (taylor 0 z) (#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
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#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- 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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | ((/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (pow (- -1 (- y z)) -1) (- -1 (- y z)) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z)) |
| 3.0ms | y | @ | inf | ((/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (pow (- -1 (- y z)) -1) (- -1 (- y z)) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z)) |
| 3.0ms | x | @ | -inf | ((/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (pow (- -1 (- y z)) -1) (- -1 (- y z)) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z)) |
| 3.0ms | y | @ | -inf | ((/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (pow (- -1 (- y z)) -1) (- -1 (- y z)) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z)) |
| 2.0ms | y | @ | 0 | ((/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (pow (- -1 (- y z)) -1) (- -1 (- y z)) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z)) |
| 1× | egg-herbie |
| 9 294× | lower-fma.f64 |
| 9 294× | lower-fma.f32 |
| 3 910× | lower-+.f64 |
| 3 910× | lower-+.f32 |
| 3 864× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 4472 |
| 1 | 1150 | 3823 |
| 2 | 3528 | 3681 |
| 0 | 8234 | 3458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)))) |
(/ (* 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 (+ 1 y)) |
(- (* -1 (/ z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) |
(- (* z (- (* -1 (/ z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(- (* z (- (* z (- (* -1 (/ z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(* -1 (+ 1 y)) |
(- z (+ 1 y)) |
(- z (+ 1 y)) |
(- z (+ 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 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) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ x (* x y)) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
-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 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ 1 z) |
(/ (+ 1 (+ (/ 1 z) (/ y z))) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 2) (pow z 2))) (* -1 (/ (+ 1 y) z))) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ (* -1 (/ (+ 1 y) z)) (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) z) |
z |
(* z (+ 1 (* -1 (/ (+ 1 y) z)))) |
(* z (+ 1 (* -1 (/ (+ 1 y) z)))) |
(* z (+ 1 (* -1 (/ (+ 1 y) z)))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 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)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
-1 |
(- (* -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 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ 1 z) |
(* -1 (/ (- (* -1 (/ (+ 1 y) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) z)) |
z |
(* -1 (* z (- (+ (/ 1 z) (/ y z)) 1))) |
(* -1 (* z (- (+ (/ 1 z) (/ y z)) 1))) |
(* -1 (* z (- (+ (/ 1 z) (/ y z)) 1))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ x z) x) |
(- (/ x z) x) |
(- (/ x z) x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (+ (/ 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)) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 x) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ z (- z 1))) |
(+ (* -1 (/ z (- z 1))) (* -1 (/ (* y z) (pow (- z 1) 2)))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* -1 (/ (* y z) (pow (- z 1) 3)))))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* y (+ (* -1 (/ z (pow (- z 1) 3))) (* -1 (/ (* y z) (pow (- z 1) 4)))))))) |
(* -1 (/ (* x (- z 1)) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(/ 1 (- z 1)) |
(+ (/ 1 (- z 1)) (/ y (pow (- z 1) 2))) |
(+ (* y (+ (/ 1 (pow (- z 1) 2)) (/ y (pow (- z 1) 3)))) (/ 1 (- z 1))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- z 1) 3)) (/ y (pow (- z 1) 4)))) (/ 1 (pow (- z 1) 2)))) (/ 1 (- z 1))) |
(- z 1) |
(- (+ z (* -1 y)) 1) |
(- (+ z (* -1 y)) 1) |
(- (+ z (* -1 y)) 1) |
(/ (* 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)) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(+ (* x y) (* x (- 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ z y) |
(/ (+ z (/ (* z (- z 1)) y)) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (/ (* z (pow (- z 1) 2)) (pow y 2)))) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (+ (/ (* z (pow (- z 1) 2)) (pow y 2)) (/ (* z (pow (- z 1) 3)) (pow y 3))))) y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(/ -1 y) |
(/ (- (/ 1 y) (+ 1 (/ z y))) y) |
(/ (- (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2))) (+ 1 (/ z y))) y) |
(/ (- (+ (/ 1 y) (/ (* (- 1 z) (pow (- z 1) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y)))) y) |
(* -1 y) |
(* y (- (/ z y) (+ 1 (/ 1 y)))) |
(* y (- (/ z y) (+ 1 (/ 1 y)))) |
(* y (- (/ z y) (+ 1 (/ 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)))) |
(/ (* 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) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* x y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (- z 1)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (- z 1)) (/ (* z (pow (- z 1) 2)) y)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (- z 1) 2))) (* -1 (/ (* z (pow (- z 1) 3)) y))) y)) (* z (- z 1))) y))) y)) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 z) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (/ (* (- 1 z) (- z 1)) y)) z) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 z) (pow (- z 1) 2)) y)) (* (- 1 z) (- z 1))) y))) z) y))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- z 1) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- z 1) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- z 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)))))) |
(/ (* 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) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 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) |
(/ (* 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)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 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) |
(/ (* 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)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) 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)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x (- (+ 1 y) z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
| Outputs |
|---|
(/ 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)))) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y 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 (+ 1 y)) |
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) |
(- (* -1 (/ z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) |
(*.f64 (+.f64 (/.f64 z (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(- (* z (- (* -1 (/ z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(fma.f64 (*.f64 (+.f64 (/.f64 z (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(- (* z (- (* z (- (* -1 (/ z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(* -1 (+ 1 y)) |
(-.f64 #s(literal -1 binary64) y) |
(- z (+ 1 y)) |
(-.f64 z (-.f64 y #s(literal -1 binary64))) |
(- z (+ 1 y)) |
(-.f64 z (-.f64 y #s(literal -1 binary64))) |
(- z (+ 1 y)) |
(-.f64 z (-.f64 y #s(literal -1 binary64))) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y 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 x y 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 x y 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) |
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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)) |
(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 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- z (+ 1 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) |
(* -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)) 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 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
| 5 024× | lower-/.f32 |
| 5 010× | lower-/.f64 |
| 3 956× | lower-*.f32 |
| 3 952× | lower-*.f64 |
| 3 176× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 130 |
| 0 | 44 | 132 |
| 1 | 200 | 118 |
| 2 | 1422 | 118 |
| 0 | 8357 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(-.f64 #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 (/ (- (- y z) -1) z) (/.f64 y z)) x) |
#s(approx (/ (- (- y z) -1) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 z (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (/.f64 z (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1/2 binary64)) (neg.f64 z))) |
(*.f64 (neg.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 z (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) |
(/.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z))) |
(neg.f64 (neg.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (-.f64 y z))) (/.f64 z (-.f64 #s(literal -1 binary64) (-.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 y z))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 y z))) z) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) z) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) z) (/.f64 (fma.f64 x (-.f64 y z) x) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)) (+.f64 z y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 z)) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) #s(literal -1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1 binary64) z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(-.f64 y z) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 17 003 to 2 176 computations (87.2% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 088 | 4 | 1 092 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 091 | 12 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.2% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 60.3% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 39.1% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ▶ | 38.0% | (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
| ▶ | 38.0% | (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
| ▶ | 39.1% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
| ✓ | 97.3% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| ✓ | 38.0% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| ✓ | 66.4% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 39.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 41.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ▶ | 28.6% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 80 to 78 computations (2.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 960 | (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (- (/ x z) x) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
| 3 212× | lower-fma.f64 |
| 3 212× | lower-fma.f32 |
| 1 936× | lower-*.f32 |
| 1 934× | lower-*.f64 |
| 1 726× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 170 |
| 0 | 40 | 170 |
| 1 | 72 | 170 |
| 2 | 129 | 161 |
| 3 | 336 | 159 |
| 4 | 1011 | 158 |
| 5 | 3265 | 158 |
| 6 | 4689 | 158 |
| 7 | 5697 | 158 |
| 8 | 6017 | 158 |
| 9 | 6080 | 158 |
| 10 | 6114 | 158 |
| 11 | 6575 | 158 |
| 12 | 7009 | 158 |
| 13 | 7730 | 158 |
| 0 | 8070 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
z |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
x |
#s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
x |
(/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal -1 binary64) z) |
z |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) |
z |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
x |
#s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 (neg.f64 x) z) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))) |
x |
(/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 z) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal -1 binary64) z) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.140625 | (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 1.71073151737559 | (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 38.78595214788155 | #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 1.71073151737559 | (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) | |
| accuracy | 38.81537243118062 | #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.37873650694452393 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) | |
| accuracy | 6.883535432561648 | (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) | |
| accuracy | 37.93822870662529 | #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 21.507677710442103 | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) | |
| accuracy | 32.25799450876841 | #s(approx (- (/ x z) x) (/.f64 x z)) |
| 42.0ms | 256× | 0 | valid |
Compiled 126 to 23 computations (81.7% saved)
ival-div: 15.0ms (52.9% of total)ival-pow: 5.0ms (17.6% of total)ival-sub: 4.0ms (14.1% of total)ival-mult: 3.0ms (10.6% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) (patch #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- z (+ 1 y))) z)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ 1 (/ z (* x (+ (- y z) 1)))) (/ z (* x (+ (- y z) 1))) (* x (+ (- y z) 1)) (* x y) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ z y) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (pow (- -1 (- y z)) -1) (/ -1 y) (/ -1 z) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z)))) |
| 2.0ms | z | @ | 0 | ((/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ 1 (/ z (* x (+ (- y z) 1)))) (/ z (* x (+ (- y z) 1))) (* x (+ (- y z) 1)) (* x y) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ z y) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (pow (- -1 (- y z)) -1) (/ -1 y) (/ -1 z) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z)))) |
| 2.0ms | z | @ | inf | ((/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ 1 (/ z (* x (+ (- y z) 1)))) (/ z (* x (+ (- y z) 1))) (* x (+ (- y z) 1)) (* x y) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ z y) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (pow (- -1 (- y z)) -1) (/ -1 y) (/ -1 z) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z)))) |
| 2.0ms | y | @ | -inf | ((/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ 1 (/ z (* x (+ (- y z) 1)))) (/ z (* x (+ (- y z) 1))) (* x (+ (- y z) 1)) (* x y) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ z y) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (pow (- -1 (- y z)) -1) (/ -1 y) (/ -1 z) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z)))) |
| 2.0ms | x | @ | inf | ((/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ 1 (/ z (* x (+ (- y z) 1)))) (/ z (* x (+ (- y z) 1))) (* x (+ (- y z) 1)) (* x y) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z))) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/ z y) (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (pow (- -1 (- y z)) -1) (/ -1 y) (/ -1 z) (/ x (/ (pow (- -1 (- y z)) -1) (/ -1 z)))) |
| 1× | egg-herbie |
| 9 130× | lower-fma.f64 |
| 9 130× | lower-fma.f32 |
| 4 866× | lower-*.f64 |
| 4 866× | lower-*.f32 |
| 3 564× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 4382 |
| 1 | 1331 | 3944 |
| 2 | 4229 | 3788 |
| 0 | 9176 | 3604 |
| 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) |
(/ 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) |
(/ z (* x (+ 1 y))) |
(* z (+ (/ 1 (* x (+ 1 y))) (/ z (* x (pow (+ 1 y) 2))))) |
(* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 2))) (/ z (* x (pow (+ 1 y) 3))))) (/ 1 (* x (+ 1 y))))) |
(* z (+ (* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 3))) (/ z (* x (pow (+ 1 y) 4))))) (/ 1 (* x (pow (+ 1 y) 2))))) (/ 1 (* x (+ 1 y))))) |
(* 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) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(/ -1 (+ 1 y)) |
(- (* -1 (/ z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) |
(- (* z (- (* -1 (/ z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(- (* z (- (* z (- (* -1 (/ z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(* -1 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) |
(- (* -1 (/ (+ (/ 1 x) (/ y x)) z)) (/ 1 x)) |
(- (* -1 (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ y (* x z))))) |
(- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 x) (/ y x))) (pow z 3))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ y (* x z)) (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2)))))) |
(* -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 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(/ 1 z) |
(/ (+ 1 (+ (/ 1 z) (/ y z))) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 2) (pow z 2))) (* -1 (/ (+ 1 y) z))) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ (* -1 (/ (+ 1 y) z)) (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* -1 x) |
(- (/ 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) |
(- (* -1 (/ (+ 1 y) (* x z))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) (* x z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) (* x z))) (/ (pow (+ 1 y) 2) x)) z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x)) |
(* -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 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(/ 1 z) |
(* -1 (/ (- (* -1 (/ (+ 1 y) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (* x (- 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 (* x (- 1 z))) |
(+ (* -1 (/ (* y z) (* x (pow (- 1 z) 2)))) (/ z (* x (- 1 z)))) |
(+ (* y (- (/ (* y z) (* x (pow (- 1 z) 3))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 z)))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (* x (pow (- 1 z) 4)))) (* -1 (/ z (* x (pow (- 1 z) 3)))))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 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) |
(* -1 (/ (* x (- z 1)) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(* -1 (/ z (- z 1))) |
(+ (* -1 (/ z (- z 1))) (* -1 (/ (* y z) (pow (- z 1) 2)))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* -1 (/ (* y z) (pow (- z 1) 3)))))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* y (+ (* -1 (/ z (pow (- z 1) 3))) (* -1 (/ (* y z) (pow (- z 1) 4)))))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ z (- z 1))) |
(+ (* -1 (/ z (- z 1))) (* -1 (/ (* y z) (pow (- z 1) 2)))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* -1 (/ (* y z) (pow (- z 1) 3)))))) |
(+ (* -1 (/ z (- z 1))) (* y (+ (* -1 (/ z (pow (- z 1) 2))) (* y (+ (* -1 (/ z (pow (- z 1) 3))) (* -1 (/ (* y z) (pow (- z 1) 4)))))))) |
(/ 1 (- z 1)) |
(+ (/ 1 (- z 1)) (/ y (pow (- z 1) 2))) |
(+ (* y (+ (/ 1 (pow (- z 1) 2)) (/ y (pow (- z 1) 3)))) (/ 1 (- z 1))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- z 1) 3)) (/ y (pow (- z 1) 4)))) (/ 1 (pow (- z 1) 2)))) (/ 1 (- z 1))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ (* x (- z 1)) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) z)) (/ (* x y) z)) |
(+ (* -1 (/ (* x (- z 1)) 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) |
(* 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 (* x y)) |
(/ (+ (* -1 (/ (* z (- 1 z)) (* x y))) (/ z x)) y) |
(/ (- (+ (/ z x) (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y))) y) |
(/ (- (+ (* -1 (/ (* z (pow (- 1 z) 3)) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y)))) y) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(/ z y) |
(/ (+ z (/ (* z (- z 1)) y)) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (/ (* z (pow (- z 1) 2)) (pow y 2)))) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (+ (/ (* z (pow (- z 1) 2)) (pow y 2)) (/ (* z (pow (- z 1) 3)) (pow y 3))))) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (+ z (/ (* z (- z 1)) y)) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (/ (* z (pow (- z 1) 2)) (pow y 2)))) y) |
(/ (+ z (+ (/ (* z (- z 1)) y) (+ (/ (* z (pow (- z 1) 2)) (pow y 2)) (/ (* z (pow (- z 1) 3)) (pow y 3))))) y) |
(/ -1 y) |
(/ (- (/ 1 y) (+ 1 (/ z y))) y) |
(/ (- (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2))) (+ 1 (/ z y))) y) |
(/ (- (+ (/ 1 y) (/ (* (- 1 z) (pow (- z 1) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y)))) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x z))) |
(* y (+ (* -1 (/ (* x (- z 1)) (* y z))) (/ x 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)))))) |
(/ z (* x y)) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (* z (- 1 z)) (* x y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) (* x y)) (/ (* z (- 1 z)) x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) (* x y)) (/ (* z (pow (- 1 z) 2)) x)) y)) (/ (* z (- 1 z)) x)) y))) 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) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (- z 1)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (- z 1)) (/ (* z (pow (- z 1) 2)) y)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (- z 1) 2))) (* -1 (/ (* z (pow (- z 1) 3)) y))) y)) (* z (- z 1))) y))) y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (- z 1)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (- z 1)) (/ (* z (pow (- z 1) 2)) y)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (- z 1) 2))) (* -1 (/ (* z (pow (- z 1) 3)) y))) y)) (* z (- z 1))) y))) y)) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 z) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (/ (* (- 1 z) (- z 1)) y)) z) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 z) (pow (- z 1) 2)) y)) (* (- 1 z) (- z 1))) y))) z) y))) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 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) |
(/ 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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 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) |
(/ 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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) 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) |
(/ 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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
| Outputs |
|---|
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ (+ x (* -1 (* x z))) z) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ (+ x (* -1 (* x z))) z) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ z (* x (+ 1 y))) |
(/.f64 z (fma.f64 y x x)) |
(* z (+ (/ 1 (* x (+ 1 y))) (/ z (* x (pow (+ 1 y) 2))))) |
(fma.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x)) z (/.f64 z (fma.f64 y x x))) |
(* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 2))) (/ z (* x (pow (+ 1 y) 3))))) (/ 1 (* x (+ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x)) z (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x))) z (/.f64 z (fma.f64 y x x))) |
(* z (+ (* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 3))) (/ z (* x (pow (+ 1 y) 4))))) (/ 1 (* x (pow (+ 1 y) 2))))) (/ 1 (* x (+ 1 y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)) x)) z (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x))) z (/.f64 z (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x))) z (/.f64 z (fma.f64 y x x))) |
(* 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 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ 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)))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z (+ 1 y)) |
(/.f64 z (+.f64 y #s(literal 1 binary64))) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) z (/.f64 z (+.f64 y #s(literal 1 binary64)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (+.f64 y #s(literal 1 binary64)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (+.f64 y #s(literal 1 binary64)))) |
(/ -1 (+ 1 y)) |
(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) |
(- (* -1 (/ z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(- (* z (- (* -1 (/ z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(- (* z (- (* z (- (* -1 (/ z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/ -1 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) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ (+ (/ 1 x) (/ y x)) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) z)) |
(- (* -1 (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) z) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) z) (-.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (/.f64 y x) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 x) (/ y x))) (pow z 3))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ y (* x z)) (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2)))))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) z) (+.f64 (/.f64 (/.f64 y x) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (+.f64 (/.f64 y z) (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) z))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (+.f64 (/.f64 y z) (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) z))) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (+.f64 (/.f64 y z) (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) z))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (+.f64 (/.f64 y z) (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) z))) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ 1 (+ (/ 1 z) (/ y z))) z) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z)) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 2) (pow z 2))) (* -1 (/ (+ 1 y) z))) z) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) (-.f64 #s(literal -1 binary64) y)) z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ (* -1 (/ (+ 1 y) z)) (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) z) |
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) (-.f64 #s(literal -1 binary64) y)) z)) #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 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 x) |
(neg.f64 x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ (+ 1 y) (* x z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) x)) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) (* x z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) x) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) z)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) (* x z))) (/ (pow (+ 1 y) 2) x)) z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (/.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) z)) z) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) z)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) (-.f64 #s(literal -1 binary64) y)) z)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) z) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) z) (-.f64 #s(literal -1 binary64) y)) z)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
-1 |
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(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (- z 1)) y))) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (- z 1)) (/ (* z (pow (- z 1) 2)) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) #s(literal -1 binary64)) z)) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (- z 1) 2))) (* -1 (/ (* z (pow (- z 1) 3)) y))) y)) (* z (- z 1))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) z (/.f64 (*.f64 z (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) y))) y)) y) z) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (- z 1)) y))) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (- z 1)) (/ (* z (pow (- z 1) 2)) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) #s(literal -1 binary64)) z)) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (- z 1) 2))) (* -1 (/ (* z (pow (- z 1) 3)) y))) y)) (* z (- z 1))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) z (/.f64 (*.f64 z (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) y))) y)) y) z) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 z) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (/ (* (- 1 z) (- z 1)) y)) z) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) #s(literal -1 binary64)) z) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 z) (pow (- z 1) 2)) y)) (* (- 1 z) (- z 1))) y))) z) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) y)) y)) z) y)) (neg.f64 y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* x (- z 1)) (* y z))))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 x (/.f64 x z)) y)) y) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 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)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* x (- (/ 1 z) 1)) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 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)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(neg.f64 (-.f64 x (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ (* x (- (+ 1 y) z)) z) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 z (fma.f64 (-.f64 y z) x x)) |
(/ z (* x (- (+ 1 y) z))) |
(/.f64 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)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
(* -1 (/ (* x (- z (+ 1 y))) z)) |
(-.f64 (/.f64 (fma.f64 y x x) z) x) |
| 4 044× | lower-/.f32 |
| 4 026× | lower-/.f64 |
| 3 998× | lower-fma.f64 |
| 3 998× | lower-fma.f32 |
| 3 876× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 157 |
| 0 | 40 | 157 |
| 1 | 188 | 147 |
| 2 | 1239 | 147 |
| 0 | 8432 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
#s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y)) |
(/.f64 z y) |
(/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (- (/ x z) x) (/.f64 x z)) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) |
(*.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z))) |
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) |
(neg.f64 (neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (/.f64 (neg.f64 x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 z) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 x #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) z) |
(/.f64 (/.f64 (neg.f64 x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))) z) |
(/.f64 (/.f64 (neg.f64 x) z) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z)) |
(/.f64 (/.f64 x #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 z) x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))))) |
(/.f64 (/.f64 x z) (neg.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 x #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 z) x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 x (*.f64 (neg.f64 z) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (/.f64 x (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z)) (/.f64 x (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (neg.f64 z) x) #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64))) |
Compiled 7 385 to 1 002 computations (86.4% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 642 | 1 | 643 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 2 | 6 | 8 |
| Total | 644 | 11 | 655 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.3% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 39.1% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ✓ | 38.0% | (/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
| ✓ | 38.0% | (/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
| ✓ | 39.1% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
| ✓ | 38.0% | (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| 95.4% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) | |
| ✓ | 66.4% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 39.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 41.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| ✓ | 28.6% | #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
Compiled 246 to 142 computations (42.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.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 (fma.f64 y x x) z) x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 y z) x x))) |
(/.f64 x (/.f64 #s(approx (pow (- -1 (- y z)) -1) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 x (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (*.f64 z (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
4 calls:
| 6.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | (/.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)) |
(*.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 (fma.f64 y x x) z) x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 x #s(approx (/ (pow (- -1 (- y z)) -1) (/ -1 z)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
1 calls:
| 17.0ms | 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)) |
(*.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 (fma.f64 y x x) z) x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 4.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | y |
| 97.5% | 2 | z |
| 95.4% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 95.4% | 1 | 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)) |
(*.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) |
| 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) (-.f64 (/.f64 x z) x)) |
4 calls:
| 12.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | y |
| 85.0% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 69.9% | 3 | x |
| 89.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.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 |
|---|---|---|
| 87.7% | 3 | y |
| 72.2% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 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:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 1 | x |
| 66.4% | 1 | z |
| 66.4% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 66.4% | 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 |
|---|---|---|
| 41.2% | 1 | y |
| 52.7% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 41.2% | 1 | x |
| 66.0% | 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)) |
2 calls:
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 41.2% | 1 | z |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 4.1285445723797963e+40 | 2.722653331012771e+41 |
| 4.0ms | 64× | 0 | valid |
Compiled 84 to 82 computations (2.4% saved)
ival-add: 1.0ms (41.8% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.1528114631939682e+39 | 2.0276192626562125e+40 |
| 5.0ms | 112× | 0 | valid |
Compiled 138 to 133 computations (3.6% saved)
ival-sub: 1.0ms (37.2% of total)ival-div: 1.0ms (37.2% of total)ival-mult: 1.0ms (37.2% 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 |
|---|---|---|
| 13.0ms | 1.5137417026948484e+152 | 2.6791404602421663e+156 |
| 6.0ms | 128× | 0 | valid |
Compiled 108 to 126 computations (-16.7% saved)
ival-sub: 1.0ms (32.1% of total)ival-div: 1.0ms (32.1% of total)ival-add: 1.0ms (32.1% of total)ival-mult: 1.0ms (32.1% 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 |
|---|---|---|
| 15.0ms | 2.506817057581325e+21 | 5.318716592650882e+30 |
| 9.0ms | -5.00715430123965e+42 | -7.75472451103048e+40 |
| 15.0ms | 256× | 0 | valid |
Compiled 199 to 231 computations (-16.1% saved)
ival-add: 4.0ms (44.9% of total)ival-div: 2.0ms (22.5% of total)ival-mult: 2.0ms (22.5% of total)ival-sub: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.919259772447964e+55 | 1.0636653514505071e+56 |
| 12.0ms | -79.37575831786933 | -3.93323966190107e-6 |
| 13.0ms | 240× | 0 | valid |
Compiled 192 to 224 computations (-16.7% saved)
ival-div: 2.0ms (32.6% of total)ival-mult: 2.0ms (32.6% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.919259772447964e+55 | 1.0636653514505071e+56 |
| 1.0ms | -79.37575831786933 | -3.93323966190107e-6 |
Compiled 192 to 224 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.00027209589360373406 | 12912974.127037795 |
| 12.0ms | -1206.1535480439577 | -0.002759448727821256 |
| 14.0ms | 304× | 0 | valid |
Compiled 164 to 261 computations (-59.1% saved)
ival-sub: 2.0ms (26.3% of total)ival-div: 2.0ms (26.3% of total)ival-mult: 2.0ms (26.3% of total)ival-add: 1.0ms (13.2% 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× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | *-commutative-binary64-*.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 | 61 | 327 |
| 1 | 75 | 327 |
| 2 | 85 | 327 |
| 3 | 89 | 327 |
| 4 | 91 | 327 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 80000000000000002430288227416029335126016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 1279999999999999940961620249871506210816 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 z #s(literal 2600000000000000185377561230395563717251296269037096178875372824816784598819792770593249131897742983458449367665947429608226275848877029557203858160720281600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))) |
(if (<=.f64 z #s(literal -101999999999999991734714785577923160047616 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 44000000000000000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)))) |
(if (<=.f64 y #s(literal -59 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 37000000000000001875939894207245631775174508800481689600 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 -59 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 37000000000000001875939894207245631775174508800481689600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 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 80000000000000002430288227416029335126016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 1279999999999999940961620249871506210816 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)) |
(if (<=.f64 z #s(literal 2600000000000000185377561230395563717251296269037096178875372824816784598819792770593249131897742983458449367665947429608226275848877029557203858160720281600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))) |
(if (<=.f64 z #s(literal -101999999999999991734714785577923160047616 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 44000000000000000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)))) |
(if (<=.f64 y #s(literal -59 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 37000000000000001875939894207245631775174508800481689600 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 -59 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 37000000000000001875939894207245631775174508800481689600 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 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)) |
| 9 294× | lower-fma.f64 |
| 9 294× | lower-fma.f32 |
| 9 130× | lower-fma.f64 |
| 9 130× | lower-fma.f32 |
| 7 342× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 4472 |
| 1 | 1150 | 3823 |
| 2 | 3528 | 3681 |
| 0 | 8234 | 3458 |
| 0 | 82 | 877 |
| 1 | 263 | 697 |
| 2 | 804 | 697 |
| 3 | 2502 | 696 |
| 4 | 5584 | 695 |
| 0 | 8285 | 633 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7437 | 24 |
| 0 | 8532 | 22 |
| 0 | 414 | 4382 |
| 1 | 1331 | 3944 |
| 2 | 4229 | 3788 |
| 0 | 9176 | 3604 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 311 to 189 computations (39.2% saved)
Compiled 464 to 194 computations (58.2% saved)
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