
Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 562.0ms | 8 256× | 0 | valid |
ival-mult: 158.0ms (53.3% of total)ival-sub: 80.0ms (27% of total)ival-add: 43.0ms (14.5% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x #s(literal 1 binary64)) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | overflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 7.0ms (55.6% of total)ival-sub: 3.0ms (23.8% of total)ival-add: 2.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 608× | lower-fma.f64 |
| 608× | lower-fma.f32 |
| 390× | distribute-rgt-in |
| 370× | unsub-neg |
| 314× | sub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 80 | 83 |
| 2 | 178 | 81 |
| 3 | 482 | 66 |
| 4 | 1083 | 64 |
| 5 | 1866 | 64 |
| 6 | 2292 | 64 |
| 7 | 2354 | 64 |
| 8 | 2362 | 64 |
| 9 | 2362 | 64 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 27 | 9 |
| 3 | 39 | 7 |
| 4 | 50 | 7 |
| 5 | 68 | 7 |
| 6 | 111 | 7 |
| 7 | 182 | 7 |
| 8 | 370 | 7 |
| 9 | 580 | 7 |
| 10 | 670 | 7 |
| 11 | 680 | 7 |
| 0 | 680 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #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 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 320 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 608× | lower-fma.f64 |
| 608× | lower-fma.f32 |
| 240× | lower-*.f32 |
| 236× | lower-*.f64 |
| 152× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 20 | 24 |
| 2 | 27 | 24 |
| 3 | 39 | 22 |
| 4 | 50 | 22 |
| 5 | 68 | 22 |
| 6 | 111 | 22 |
| 7 | 182 | 22 |
| 8 | 370 | 22 |
| 9 | 580 | 22 |
| 10 | 670 | 22 |
| 11 | 680 | 22 |
| 0 | 680 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| accuracy | 1.1992104933208234 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 13.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 3.0ms (48.9% 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)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | y | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
| 9 326× | lower-fma.f64 |
| 9 326× | lower-fma.f32 |
| 3 218× | lower-*.f64 |
| 3 218× | lower-*.f32 |
| 1 186× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 494 |
| 1 | 180 | 440 |
| 2 | 532 | 440 |
| 3 | 1339 | 440 |
| 4 | 4403 | 440 |
| 0 | 8080 | 440 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
| 6 732× | lower-*.f32 |
| 6 728× | lower-*.f64 |
| 4 784× | lower-fma.f64 |
| 4 784× | lower-fma.f32 |
| 4 232× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 45 | 20 |
| 2 | 311 | 20 |
| 3 | 3854 | 20 |
| 0 | 10409 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
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(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(expm1.f64 (log.f64 x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 7 790 to 1 014 computations (87% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 6 | 374 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 369 | 6 | 375 |
| Status | Accuracy | Program |
|---|---|---|
| 71.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| ▶ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 63.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ▶ | 66.9% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ▶ | 40.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ▶ | 32.9% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Compiled 68 to 74 computations (-8.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (fma.f64 (+.f64 z y) x (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| 608× | lower-fma.f32 |
| 606× | lower-fma.f64 |
| 240× | lower-*.f32 |
| 234× | lower-*.f64 |
| 164× | cancel-sign-sub-inv |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 117 |
| 0 | 27 | 117 |
| 1 | 41 | 117 |
| 2 | 57 | 107 |
| 3 | 106 | 107 |
| 4 | 176 | 107 |
| 5 | 309 | 107 |
| 6 | 621 | 107 |
| 7 | 805 | 107 |
| 8 | 857 | 107 |
| 9 | 861 | 107 |
| 0 | 861 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| accuracy | 23.632038597592896 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0 | (*.f64 (+.f64 z y) x) | |
| accuracy | 21.166299976351453 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 38.052605179245525 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 42.95522929895152 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| accuracy | 0 | (fma.f64 (+.f64 z y) x (neg.f64 z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| 31.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-mult: 8.0ms (54.8% of total)ival-add: 3.0ms (20.6% of total)ival-sub: 1.0ms (6.9% of total)ival-neg: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
| 6 730× | lower-fma.f64 |
| 6 730× | lower-fma.f32 |
| 2 746× | lower-*.f64 |
| 2 746× | lower-*.f32 |
| 1 262× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
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(*.f64 y x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
| 6 900× | lower-fma.f32 |
| 6 898× | lower-fma.f64 |
| 4 714× | lower-*.f32 |
| 4 708× | lower-*.f64 |
| 2 910× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9198 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (-.f64 y z) x z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) (-.f64 z (*.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 z x (-.f64 z (*.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) (-.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) (-.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (-.f64 y z) x z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z))) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z x (-.f64 z (*.f64 y x))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (-.f64 y z) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z))))) |
(*.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 y z) x z) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (-.f64 y z) x z))) |
(*.f64 (fma.f64 (-.f64 y z) x z) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x z)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 y z) x) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 z x z) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 z x z) x) y) #s(literal 3 binary64)))) |
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(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 15 148 to 2 010 computations (86.7% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 011 | 4 | 1 015 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 011 | 10 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 30.5% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
| ▶ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 63.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ✓ | 66.9% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 32.9% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ▶ | 31.3% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ▶ | 2.8% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 77 to 86 computations (-11.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (-.f64 (*.f64 z x) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) | |
| cost-diff | 0 | (fma.f64 z x z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| 800× | lower-fma.f32 |
| 798× | lower-fma.f64 |
| 320× | lower-*.f32 |
| 316× | lower-*.f64 |
| 208× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 118 |
| 0 | 26 | 118 |
| 1 | 40 | 118 |
| 2 | 50 | 118 |
| 3 | 70 | 110 |
| 4 | 137 | 110 |
| 5 | 199 | 110 |
| 6 | 437 | 110 |
| 7 | 618 | 110 |
| 8 | 779 | 110 |
| 9 | 899 | 110 |
| 10 | 924 | 110 |
| 11 | 938 | 110 |
| 12 | 941 | 110 |
| 0 | 941 | 109 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
(fma.f64 z x z) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
(*.f64 z x) |
z |
x |
| Outputs |
|---|
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
(fma.f64 z x z) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 z x) z) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(*.f64 z x) |
z |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.026591230164287515 | (-.f64 (*.f64 z x) z) | |
| accuracy | 23.632038597592896 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) | |
| accuracy | 0 | (fma.f64 z x z) | |
| accuracy | 44.46512601539245 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 23.632038597592896 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 29.388245322338218 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 62.20007020453462 | #s(approx (+ (* x y) (* (- x 1) z)) z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.1992104933208234 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 34.19326381505478 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 74.0ms | 256× | 0 | valid |
Compiled 88 to 14 computations (84.1% saved)
ival-mult: 5.0ms (45.2% of total)ival-sub: 2.0ms (18.1% of total)ival-add: 2.0ms (18.1% of total)ival-neg: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 x)) (taylor 0 z) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 x)) (taylor 0 z) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 x)) (taylor 0 z) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 x)) (taylor 0 z) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ z x))) (taylor inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ z x))) (taylor inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ z x))) (taylor inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x z) (taylor -inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 z x z) (patch (fma.f64 z x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1× | egg-herbie |
| 6 534× | lower-fma.f64 |
| 6 534× | lower-fma.f32 |
| 2 386× | lower-*.f64 |
| 2 386× | lower-*.f32 |
| 1 226× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 2014 |
| 1 | 218 | 1744 |
| 2 | 622 | 1744 |
| 3 | 1696 | 1744 |
| 4 | 4341 | 1744 |
| 5 | 6461 | 1744 |
| 0 | 8072 | 1723 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* z (+ 1 x)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 x) 1))) |
(* -1 (* z (- (* -1 x) 1))) |
(* -1 (* z (- (* -1 x) 1))) |
(* -1 (* z (- (* -1 x) 1))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
z |
(+ z (* x z)) |
(+ z (* x z)) |
(+ z (* x z)) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(- (* x z) z) |
(- (* x z) z) |
(- (* x z) z) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (/ z x))) |
(* x (+ z (/ z x))) |
(* x (+ z (/ z x))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (+ 1 x)) |
(fma.f64 z x z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (- (* -1 x) 1))) |
(fma.f64 z x z) |
(* -1 (* z (- (* -1 x) 1))) |
(fma.f64 z x z) |
(* -1 (* z (- (* -1 x) 1))) |
(fma.f64 z x z) |
(* -1 (* z (- (* -1 x) 1))) |
(fma.f64 z x z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
z |
(+ z (* x z)) |
(fma.f64 z x z) |
(+ z (* x z)) |
(fma.f64 z x z) |
(+ z (* x z)) |
(fma.f64 z x z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (/ z x))) |
(fma.f64 z x z) |
(* x (+ z (/ z x))) |
(fma.f64 z x z) |
(* x (+ z (/ z x))) |
(fma.f64 z x z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(fma.f64 z x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(fma.f64 z x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ z x))))) |
(fma.f64 z x z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
| 9 868× | lower-fma.f32 |
| 9 866× | lower-fma.f64 |
| 6 124× | lower-*.f32 |
| 6 120× | lower-*.f64 |
| 4 214× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 105 |
| 0 | 26 | 105 |
| 1 | 91 | 105 |
| 2 | 646 | 105 |
| 0 | 8572 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
(fma.f64 z x z) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (neg.f64 z)))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 z x) #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 z x)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 z x)) |
(fma.f64 z x (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(fma.f64 z x (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 z x (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 z x)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (neg.f64 z)) |
(fma.f64 x z (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(fma.f64 x z (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 x z (neg.f64 z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (fma.f64 (fma.f64 z x z) z (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z x z) z (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 z x))) |
(-.f64 (*.f64 z x) z) |
(+.f64 (*.f64 (*.f64 z (-.f64 z (*.f64 z x))) (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z (-.f64 z (*.f64 z x))) (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z x)) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 z x)))) (*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) z) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 z x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (fma.f64 (fma.f64 z x z) z (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z x z) z (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 z (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 z x) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 z x) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(+.f64 (*.f64 z x) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 z x)) |
Compiled 13 743 to 1 490 computations (89.2% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 831 | 1 | 832 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 832 | 10 | 842 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.7% | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ✓ | 30.5% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
| ✓ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 63.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ✓ | 66.9% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 32.9% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 31.3% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.8% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 51 to 57 computations (-11.8% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
| 304× | lower-fma.f32 |
| 302× | lower-fma.f64 |
| 192× | lower-*.f64 |
| 192× | lower-*.f32 |
| 96× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 0 | 12 | 24 |
| 1 | 22 | 24 |
| 2 | 30 | 24 |
| 3 | 42 | 24 |
| 4 | 50 | 24 |
| 5 | 65 | 24 |
| 6 | 103 | 24 |
| 7 | 162 | 24 |
| 8 | 241 | 24 |
| 9 | 300 | 24 |
| 10 | 365 | 24 |
| 11 | 406 | 24 |
| 12 | 423 | 24 |
| 13 | 443 | 24 |
| 14 | 465 | 24 |
| 15 | 481 | 24 |
| 16 | 484 | 24 |
| 0 | 484 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
y |
x |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
| Outputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) |
y |
x |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.7499917428166807 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 34.19326381505478 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 14.0ms | 256× | 0 | valid |
Compiled 21 to 11 computations (47.6% saved)
ival-mult: 3.0ms (42.2% of total)ival-sub: 1.0ms (14.1% of total)ival-add: 1.0ms (14.1% of total)ival-neg: 1.0ms (14.1% 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 (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | z | @ | inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | x | @ | -inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | z | @ | 0 | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | x | @ | inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 1× | egg-herbie |
| 4 934× | lower-fma.f64 |
| 4 934× | lower-fma.f32 |
| 2 128× | lower-*.f64 |
| 2 128× | lower-*.f32 |
| 1 206× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 416 |
| 1 | 166 | 362 |
| 2 | 488 | 362 |
| 3 | 1252 | 362 |
| 4 | 3738 | 362 |
| 5 | 6953 | 362 |
| 0 | 8117 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
| 4 770× | lower-/.f64 |
| 4 770× | lower-/.f32 |
| 4 412× | lower-fma.f32 |
| 4 410× | lower-fma.f64 |
| 3 940× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 12 | 21 |
| 1 | 47 | 21 |
| 2 | 300 | 21 |
| 3 | 2882 | 21 |
| 0 | 8710 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z)))) |
(*.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64)) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(+.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) |
(pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 1 binary64)) |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(exp.f64 (*.f64 (log.f64 #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (* (- x 1) z) (neg.f64 z)))) |
(*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (neg.f64 (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z z)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 0 binary64) (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 z z)) z) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (neg.f64 (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(neg.f64 z) |
(fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (pow.f64 z #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 0 binary64)) |
Compiled 5 449 to 541 computations (90.1% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 0 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 236 | 10 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.7% | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ✓ | 30.5% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
| ✓ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 63.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ✓ | 66.9% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 32.9% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 31.3% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.8% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 118 to 86 computations (27.1% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
4 calls:
| 9.0ms | z |
| 5.0ms | y |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
4 calls:
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 90.1% | 3 | y |
| 87.9% | 4 | z |
| 84.7% | 4 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | z |
| 84.5% | 3 | y |
| 85.5% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
1 calls:
| 81.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
4 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 4 | z |
| 48.5% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 61.6% | 4 | y |
| 65.2% | 4 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.9% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 32.9% | 1 | z |
| 32.9% | 1 | y |
| 32.9% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
4 calls:
| 39.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.8% | 1 | z |
| 2.8% | 1 | x |
| 2.8% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.8% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 0.0003846749900821747 | 0.0983297656083555 |
| 9.0ms | -2.0072040342793804 | -0.029692092242181587 |
| 43.0ms | 224× | 0 | valid |
Compiled 180 to 210 computations (-16.7% saved)
ival-mult: 3.0ms (56.2% of total)ival-sub: 1.0ms (18.7% of total)ival-add: 1.0ms (18.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 59168828.233877644 | 3834307541171.9287 |
| 20.0ms | -960603944245.0687 | -2.0072040342793804 |
| 20.0ms | 288× | 0 | valid |
Compiled 228 to 284 computations (-24.6% saved)
ival-sub: 8.0ms (58.3% of total)ival-mult: 4.0ms (29.1% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.6773536603216947e-22 | 9.932325781568065e-19 |
| 9.0ms | -1.3922257937801282e-42 | -6.450013836714081e-43 |
| 10.0ms | 208× | 0 | valid |
Compiled 129 to 183 computations (-41.9% saved)
ival-mult: 3.0ms (59.9% of total)ival-sub: 1.0ms (20% of total)ival-add: 1.0ms (20% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.668526663665511e+163 | 1.612270102449281e+164 |
| 1.0ms | 1.6773536603216947e-22 | 9.932325781568065e-19 |
| 1.0ms | -2.0072040342793804 | -0.029692092242181587 |
| 4.0ms | 80× | 0 | valid |
Compiled 169 to 266 computations (-57.4% saved)
ival-mult: 1.0ms (53.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 0.0983297656083555 | 1.002262803864 |
| 1.0ms | -2.0072040342793804 | -0.029692092242181587 |
| 40.0ms | 96× | 0 | valid |
Compiled 116 to 183 computations (-57.8% saved)
ival-mult: 37.0ms (97% of total)ival-sub: 1.0ms (2.6% 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× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 8× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 4× | neg-sub0-binary64--.f64-neg.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 325 |
| 1 | 64 | 325 |
| 2 | 69 | 325 |
| 3 | 75 | 325 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -3400000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 60000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -8662400394833619/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 2803840303608807/5192296858534827628530496329220096 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 2803840303608807/5192296858534827628530496329220096 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 92000000000000000675535477753860656782959441284789648827695725242748015976731033542104026823571951612397697199245824531618347429280359428767649263886951036196225024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -3400000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 60000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -8662400394833619/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 2803840303608807/5192296858534827628530496329220096 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 2803840303608807/5192296858534827628530496329220096 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 92000000000000000675535477753860656782959441284789648827695725242748015976731033542104026823571951612397697199245824531618347429280359428767649263886951036196225024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
| 9 868× | lower-fma.f32 |
| 9 866× | lower-fma.f64 |
| 9 326× | lower-fma.f64 |
| 9 326× | lower-fma.f32 |
| 6 900× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 494 |
| 1 | 180 | 440 |
| 2 | 532 | 440 |
| 3 | 1339 | 440 |
| 4 | 4403 | 440 |
| 0 | 8080 | 440 |
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9198 | 79 |
| 0 | 20 | 105 |
| 0 | 26 | 105 |
| 1 | 91 | 105 |
| 2 | 646 | 105 |
| 0 | 8572 | 100 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 210 to 136 computations (35.2% saved)
Compiled 294 to 112 computations (61.9% saved)
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