
Time bar (total: 10.8s)
| 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 9 to 9 computations (0% saved)
| 644.0ms | 8 256× | 0 | valid |
ival-mult: 211.0ms (76.9% of total)ival-sub: 48.0ms (17.5% of total)ival-true: 7.0ms (2.6% of total)exact: 6.0ms (2.2% of total)ival-assert: 4.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) | n*o | 14 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-sub: 22.0ms (63.7% of total)ival-mult: 12.0ms (34.8% 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 |
| 368× | lower-fma.f64 |
| 368× | lower-fma.f32 |
| 256× | lower-*.f32 |
| 252× | lower-*.f64 |
| 190× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 70 |
| 1 | 90 | 65 |
| 2 | 186 | 63 |
| 3 | 504 | 63 |
| 4 | 831 | 63 |
| 5 | 1056 | 63 |
| 6 | 1065 | 63 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 36 | 7 |
| 3 | 74 | 7 |
| 4 | 194 | 7 |
| 5 | 251 | 7 |
| 6 | 303 | 7 |
| 7 | 401 | 7 |
| 8 | 461 | 7 |
| 9 | 549 | 7 |
| 10 | 563 | 7 |
| 0 | 563 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(negabs x)
(sort y z)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.6% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 368× | lower-fma.f64 |
| 368× | lower-fma.f32 |
| 256× | lower-*.f32 |
| 252× | lower-*.f64 |
| 98× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 36 | 19 |
| 3 | 74 | 19 |
| 4 | 194 | 19 |
| 5 | 251 | 19 |
| 6 | 303 | 19 |
| 7 | 401 | 19 |
| 8 | 461 | 19 |
| 9 | 549 | 19 |
| 10 | 563 | 19 |
| 0 | 563 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
#s(literal 1 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 3.4285010059704795 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 16.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 4.0ms (54% of total)ival-sub: 3.0ms (40.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | z | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | z | @ | inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1× | egg-herbie |
| 4 784× | lower-fma.f64 |
| 4 784× | lower-fma.f32 |
| 2 664× | lower-*.f64 |
| 2 664× | lower-*.f32 |
| 1 142× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 446 |
| 1 | 136 | 416 |
| 2 | 296 | 416 |
| 3 | 488 | 416 |
| 4 | 2008 | 416 |
| 5 | 5035 | 416 |
| 6 | 6541 | 416 |
| 7 | 7282 | 416 |
| 8 | 7487 | 416 |
| 9 | 7593 | 416 |
| 10 | 7673 | 416 |
| 0 | 8014 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
| 22 928× | lower-fma.f64 |
| 22 928× | lower-fma.f32 |
| 3 886× | lower-*.f32 |
| 3 882× | lower-*.f64 |
| 3 016× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 32 | 15 |
| 2 | 192 | 15 |
| 3 | 1532 | 15 |
| 0 | 9726 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 z (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal -1 binary64))) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (*.f64 z z) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (*.f64 z y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 y y) z) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 z z) y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 1 binary64))) |
(+.f64 (*.f64 z y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) y)) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z y))) |
(+.f64 #s(literal 0 binary64) (*.f64 z y)) |
Compiled 20 981 to 1 660 computations (92.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 7 | 700 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 694 | 7 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.1% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ▶ | 93.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 76.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))) | |
| ▶ | 76.5% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| 65.5% | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) | |
| ▶ | 40.0% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ▶ | 56.1% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 136 to 116 computations (14.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) | |
| cost-diff | 7552 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 x (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 z)) y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 6 928× | lower-fma.f32 |
| 6 922× | lower-fma.f64 |
| 2 282× | lower-*.f32 |
| 2 268× | lower-*.f64 |
| 1 954× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 125 |
| 0 | 41 | 118 |
| 1 | 77 | 118 |
| 2 | 145 | 118 |
| 3 | 314 | 118 |
| 4 | 671 | 118 |
| 5 | 1249 | 118 |
| 6 | 2431 | 118 |
| 7 | 3933 | 118 |
| 8 | 5986 | 118 |
| 0 | 8060 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
x |
(neg.f64 z) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
x |
(neg.f64 z) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.24742128907376804 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 1.7167216470405473 | (/.f64 x (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 12.720003812128533 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 x (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 5.677357719620505 | (fma.f64 (*.f64 x (neg.f64 z)) y x) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.4285010059704795 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 35.2608940615934 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 3.4285010059704795 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 28.165476031204705 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.010383985746288 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 69.0ms | 256× | 0 | valid |
Compiled 118 to 25 computations (78.8% saved)
ival-mult: 15.0ms (47% of total)ival-add: 6.0ms (18.8% of total)ival-pow2: 4.0ms (12.5% of total)ival-div: 2.0ms (6.3% of total)ival-sub: 2.0ms (6.3% of total)ival-neg: 2.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.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 (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<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 (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 66.0ms | z | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (/ x (+ (* z y) 1))) |
| 6.0ms | x | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (/ x (+ (* z y) 1))) |
| 5.0ms | y | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (/ x (+ (* z y) 1))) |
| 4.0ms | z | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (/ x (+ (* z y) 1))) |
| 4.0ms | x | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (/ x (+ (* z y) 1))) |
| 1× | egg-herbie |
| 16 248× | lower-fma.f64 |
| 16 248× | lower-fma.f32 |
| 5 162× | lower-*.f64 |
| 5 162× | lower-*.f32 |
| 2 274× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 2912 |
| 1 | 546 | 2746 |
| 2 | 1405 | 2734 |
| 3 | 4115 | 2728 |
| 0 | 8510 | 2696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(*.f64 x (fma.f64 (*.f64 z (fma.f64 z y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(fma.f64 (neg.f64 (fma.f64 y x (*.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 z y #s(literal -1 binary64)))) x) z))) z x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y z)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2))) |
(fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(/.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x z) y) y)) z) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y) (/.f64 x z)) y) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y) (/.f64 (/.f64 x z) z)) y)) y) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| 12 974× | lower-fma.f32 |
| 12 968× | lower-fma.f64 |
| 5 948× | lower-*.f32 |
| 5 934× | lower-*.f64 |
| 3 272× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 41 | 96 |
| 1 | 152 | 96 |
| 2 | 970 | 96 |
| 0 | 8718 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 z y) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 z y #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z y) (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 4 binary64))) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 z y) (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 z y) (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 z y) (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 z y)) (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
Compiled 31 493 to 1 788 computations (94.3% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 557 | 4 | 1 561 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 559 | 9 | 1 568 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.3% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
| ✓ | 91.1% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 93.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 37.0% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
| ▶ | 94.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
| ▶ | 90.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
| ▶ | 65.5% | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
| ✓ | 40.0% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 56.1% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 317 to 153 computations (51.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 448 | (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) | |
| cost-diff | 640 | (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) | |
| cost-diff | 7296 | (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) | |
| cost-diff | 19264 | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) | |
| cost-diff | 640 | (*.f64 #s(literal 0 binary64) (*.f64 z x)) | |
| cost-diff | 8128 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) | |
| cost-diff | 0 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) | |
| cost-diff | 7808 | (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 z) x) y x) | |
| cost-diff | 1792 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
| 7 322× | lower-fma.f32 |
| 7 308× | lower-fma.f64 |
| 7 252× | lower-*.f32 |
| 7 232× | lower-*.f64 |
| 1 854× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 528 |
| 0 | 90 | 465 |
| 1 | 206 | 451 |
| 2 | 565 | 412 |
| 3 | 3960 | 352 |
| 0 | 8505 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(neg.f64 z) |
z |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) |
(fma.f64 (*.f64 (neg.f64 z) x) y x) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 z x) #s(literal 3 binary64)) |
(*.f64 z x) |
z |
x |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
y |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
(-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 (*.f64 y x) z x) |
(*.f64 y x) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 z) #s(literal 1 binary64)) |
(neg.f64 z) |
z |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 (neg.f64 z) x) y x) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
x |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 z) #s(literal 1 binary64)) |
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(*.f64 (neg.f64 z) x) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 z x) #s(literal 3 binary64)) |
(*.f64 z x) |
z |
x |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
#s(literal 0 binary64) |
y |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
(*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) x (/.f64 (*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y x) z x) (fma.f64 (*.f64 y x) z x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y x) z x) (fma.f64 (*.f64 y x) z x)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y x) z x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 z) y #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 z) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y x) z x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x)) x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 (*.f64 y x) z x) |
(*.f64 y x) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x)) x (/.f64 (*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 18.69740162012624 | (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) | |
| accuracy | 20.586639854500575 | (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) | |
| accuracy | 25.508040595807913 | (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) | |
| accuracy | 33.677022166807596 | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) | |
| accuracy | 0.22044760745286215 | (pow.f64 (*.f64 z x) #s(literal 3 binary64)) | |
| accuracy | 5.677357719620505 | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) | |
| accuracy | 8.121048341036865 | (*.f64 #s(literal 0 binary64) (*.f64 z x)) | |
| accuracy | 42.15164571495954 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) | |
| accuracy | 0.24742128907376804 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 0.4617422491854275 | (/.f64 #s(literal 1 binary64) (*.f64 z y)) | |
| accuracy | 3.4285010059704795 | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) | |
| accuracy | 22.203005683706085 | (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) | |
| accuracy | 0.3235696001749618 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) | |
| accuracy | 5.677357719620505 | (fma.f64 (*.f64 (neg.f64 z) x) y x) | |
| accuracy | 0 | (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.3562734991854275 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) | |
| accuracy | 3.200372289448873 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
| 110.0ms | 256× | 0 | valid |
Compiled 567 to 54 computations (90.5% saved)
ival-mult: 37.0ms (44.1% of total)ival-div: 21.0ms (25% of total)ival-add: 11.0ms (13.1% of total)ival-pow2: 5.0ms (6% of total)ival-neg: 4.0ms (4.8% of total)ival-pow: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 z) x) y x) (patch (fma.f64 (*.f64 (neg.f64 z) x) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (patch (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (patch (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (patch (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* (pow y 2) z) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (- (* (pow y 3) z) (* -1 (pow y 2)))) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #<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 (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (* -1 (* y z)) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (* -1 (* y z)) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (* -1 (* y z)) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (* -1 (* y z)) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((/ x (/ 1 (+ (* (neg z) y) 1))) (/ 1 (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (+ (* (* (neg z) x) y) x) (* (neg z) x) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (- 0 (pow (* z x) 3)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ 1 (* z y)) (+ (* (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x) (pow (* z x) 3) (/ (* (neg x) x) (+ (* (* y x) z) x))) |
| 11.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* (neg z) y) 1))) (/ 1 (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (+ (* (* (neg z) x) y) x) (* (neg z) x) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (- 0 (pow (* z x) 3)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ 1 (* z y)) (+ (* (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x) (pow (* z x) 3) (/ (* (neg x) x) (+ (* (* y x) z) x))) |
| 11.0ms | x | @ | inf | ((/ x (/ 1 (+ (* (neg z) y) 1))) (/ 1 (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (+ (* (* (neg z) x) y) x) (* (neg z) x) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (- 0 (pow (* z x) 3)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ 1 (* z y)) (+ (* (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x) (pow (* z x) 3) (/ (* (neg x) x) (+ (* (* y x) z) x))) |
| 9.0ms | y | @ | 0 | ((/ x (/ 1 (+ (* (neg z) y) 1))) (/ 1 (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (+ (* (* (neg z) x) y) x) (* (neg z) x) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (- 0 (pow (* z x) 3)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ 1 (* z y)) (+ (* (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x) (pow (* z x) 3) (/ (* (neg x) x) (+ (* (* y x) z) x))) |
| 8.0ms | z | @ | 0 | ((/ x (/ 1 (+ (* (neg z) y) 1))) (/ 1 (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (+ (* (* (neg z) x) y) x) (* (neg z) x) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (- 0 (pow (* z x) 3)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ 1 (* z y)) (+ (* (/ (- 0 (pow (* z x) 3)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x) (pow (* z x) 3) (/ (* (neg x) x) (+ (* (* y x) z) x))) |
| 1× | egg-herbie |
| 11 858× | lower-fma.f64 |
| 11 858× | lower-fma.f32 |
| 6 118× | lower-*.f64 |
| 6 118× | lower-*.f32 |
| 5 164× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 954 | 8526 |
| 1 | 3082 | 8048 |
| 0 | 9071 | 7774 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* z (- (* (pow y 2) z) (* -1 y)))) |
(+ 1 (* z (- (* z (- (* (pow y 3) z) (* -1 (pow y 2)))) (* -1 y)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
x |
(+ x (* z (- (* -2 (* x y)) (* -1 (* x y))))) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (+ (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (* z (- (* -1 (/ (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (* -2 (* (pow x 2) (pow y 3)))) x)) (+ (* -2 (* x (pow y 3))) (+ (* -1 (* y (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* 2 (* (pow y 2) (- (* -2 (* x y)) (* -1 (* x y)))))))))) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(* (pow x 2) (* (pow y 4) (pow z 4))) |
(* (pow z 4) (+ (* -2 (* (pow x 2) (* (pow y 5) z))) (* (pow x 2) (pow y 4)))) |
(* (pow z 4) (+ (* z (- (* -1 (* z (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* 2 (* (pow x 2) (pow y 5))))) (* (pow x 2) (pow y 4)))) |
(* (pow z 4) (+ (* z (- (* z (- (* -1 (* z (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* -2 (* (pow x 2) (pow y 7)))))) (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* 2 (* (pow x 2) (pow y 5))))) (* (pow x 2) (pow y 4)))) |
(* -1 x) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* z (+ (* -2 (* x (* (pow y 2) z))) (* x y)))) |
(+ (* -1 x) (* z (+ (* x y) (* z (+ (* -2 (* x (pow y 2))) (* 2 (* x (* (pow y 3) z)))))))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* x (* (pow y 3) z)))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* -1 (* x (* (pow y 4) z))) (* -1 (* x (pow y 3))))))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* z (- (* x (* (pow y 5) z)) (* x (pow y 4)))) (* -1 (* x (pow y 3))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) x)) |
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* -1 x) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* z (+ (* -1 (* x (* (pow y 2) z))) (* x y)))) |
(+ (* -1 x) (* z (+ (* x y) (* z (+ (* -1 (* x (pow y 2))) (* x (* (pow y 3) z))))))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) (pow z 2))) (+ (/ 1 y) (/ 1 (* (pow y 2) z)))) z) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* x (* y z))) |
(* z (- (+ (* -1 (* x y)) (* 2 (/ x z))) (/ x z))) |
(* z (- (+ (* -4 (/ x (* y (pow z 2)))) (+ (* -1 (* x y)) (+ (* 2 (/ x z)) (/ x (* y (pow z 2)))))) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ (- (* 2 x) x) (* y (pow z 2)))) (/ x z))))) |
(* z (- (+ (* -4 (/ x (* y (pow z 2)))) (+ (* -2 (/ x (* (pow y 2) (pow z 3)))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x (* (pow y 2) (pow z 3))))) (+ (* -1 (* x y)) (+ (* 2 (/ x z)) (/ x (* y (pow z 2)))))))) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ (- (* 2 x) x) (* y (pow z 2)))) (+ (* -1 (/ (- (+ (* -4 (/ x y)) (/ x y)) (+ (* -2 (/ x y)) (* -1 (/ (- (* 2 x) x) y)))) (* y (pow z 3)))) (+ (* 2 (/ x (* (pow y 2) (pow z 3)))) (+ (* 2 (/ (- (* 2 x) x) (* (pow y 2) (pow z 3)))) (/ x z)))))))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -2 (/ (* (pow x 2) y) z)) (* (pow x 2) (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (pow z 2))) (* (pow x 2) (pow y 2))) (* 2 (/ (* (pow x 2) y) z)))) |
(* (pow z 2) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* -4 (pow x 2)) (pow x 2)) y)) (* -2 (/ (pow x 2) y))) (pow z 3))) (* (pow x 2) (pow y 2))) (+ (* -4 (/ (pow x 2) (pow z 2))) (+ (* 2 (/ (* (pow x 2) y) z)) (/ (pow x 2) (pow z 2)))))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (* x y)) (/ x z)))) |
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(/ (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(/ (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 4) (pow z 3)))))) z) |
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0 |
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(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
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(* (pow z 2) (+ (* -1 (/ (- (+ (* -4 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -2 (* (pow x 2) y))) z)) (* (pow x 2) (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* y z))) (* 2 (/ (pow x 2) (* y z)))) (+ (* -4 (pow x 2)) (pow x 2))) z)) (* -2 (* (pow x 2) y))) z)) (* (pow x 2) (pow y 2)))) |
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(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (/ x y))) z))) z)) (* x y)))) |
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(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* (pow y 2) z))) (* -1 (/ x y))) z)) (* -1 x)) z)) (* x y)))) |
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(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z)) |
(* -1 (/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* (pow y 2) z))) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)) |
(/ 1 (* y z)) |
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(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
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(* -1 (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ x y)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ x (pow y 2))) z)) (/ x y)) z)) |
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1 |
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x |
(+ x (* -1 (* x (* y z)))) |
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x |
(+ x (* -1 (* x (* y z)))) |
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(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
x |
(+ x (* y (- (* -2 (* x z)) (* -1 (* x z))))) |
(+ x (* y (- (+ (* -2 (* x z)) (* y (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow z 2))) (* (pow x 2) (pow z 2))) x)) (+ (* -1 (* z (- (* -2 (* x z)) (* -1 (* x z))))) (* 2 (* x (pow z 2))))))) (* -1 (* x z))))) |
(+ x (* y (- (+ (* -2 (* x z)) (* y (- (+ (* -1 (/ (+ (* -4 (* (pow x 2) (pow z 2))) (* (pow x 2) (pow z 2))) x)) (* y (- (* -1 (/ (+ (* -2 (* z (+ (* -4 (* (pow x 2) (pow z 2))) (* (pow x 2) (pow z 2))))) (* -2 (* (pow x 2) (pow z 3)))) x)) (+ (* -2 (* x (pow z 3))) (+ (* -1 (* z (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow z 2))) (* (pow x 2) (pow z 2))) x)) (+ (* -1 (* z (- (* -2 (* x z)) (* -1 (* x z))))) (* 2 (* x (pow z 2))))))) (* 2 (* (pow z 2) (- (* -2 (* x z)) (* -1 (* x z)))))))))) (+ (* -1 (* z (- (* -2 (* x z)) (* -1 (* x z))))) (* 2 (* x (pow z 2))))))) (* -1 (* x z))))) |
(* (pow x 2) (* (pow y 4) (pow z 4))) |
(* (pow y 4) (+ (* -2 (* (pow x 2) (* y (pow z 5)))) (* (pow x 2) (pow z 4)))) |
(* (pow y 4) (+ (* y (- (* -1 (* y (+ (* -4 (* (pow x 2) (pow z 6))) (* (pow x 2) (pow z 6))))) (* 2 (* (pow x 2) (pow z 5))))) (* (pow x 2) (pow z 4)))) |
(* (pow y 4) (+ (* y (- (* y (- (* -1 (* y (+ (* -2 (* z (+ (* -4 (* (pow x 2) (pow z 6))) (* (pow x 2) (pow z 6))))) (* -2 (* (pow x 2) (pow z 7)))))) (+ (* -4 (* (pow x 2) (pow z 6))) (* (pow x 2) (pow z 6))))) (* 2 (* (pow x 2) (pow z 5))))) (* (pow x 2) (pow z 4)))) |
(* -1 x) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* y (+ (* -2 (* x (* y (pow z 2)))) (* x z)))) |
(+ (* -1 x) (* y (+ (* x z) (* y (+ (* -2 (* x (pow z 2))) (* 2 (* x (* y (pow z 3))))))))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* x (* y (pow z 3))))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (- (* -1 (* x (* y (pow z 4)))) (* -1 (* x (pow z 3))))))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (- (* y (- (* x (* y (pow z 5))) (* x (pow z 4)))) (* -1 (* x (pow z 3))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) x)) |
(+ (* y (- (/ (* y (pow z 2)) x) (* -1 (/ z x)))) (/ 1 x)) |
(+ (* y (- (* y (- (/ (* y (pow z 3)) x) (* -1 (/ (pow z 2) x)))) (* -1 (/ z x)))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 x) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* y (+ (* -1 (* x (* y (pow z 2)))) (* x z)))) |
(+ (* -1 x) (* y (+ (* x z) (* y (+ (* -1 (* x (pow z 2))) (* x (* y (pow z 3)))))))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) (pow y 2))) (+ (/ 1 z) (/ 1 (* y (pow z 2))))) y) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
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(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* -1 (* x (* y z))) |
(* y (- (+ (* -1 (* x z)) (* 2 (/ x y))) (/ x y))) |
(* y (- (+ (* -4 (/ x (* (pow y 2) z))) (+ (* -1 (* x z)) (+ (* 2 (/ x y)) (/ x (* (pow y 2) z))))) (+ (* -2 (/ x (* (pow y 2) z))) (+ (* -1 (/ (- (* 2 x) x) (* (pow y 2) z))) (/ x y))))) |
(* y (- (+ (* -4 (/ x (* (pow y 2) z))) (+ (* -2 (/ x (* (pow y 3) (pow z 2)))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x (* (pow y 3) (pow z 2))))) (+ (* -1 (* x z)) (+ (* 2 (/ x y)) (/ x (* (pow y 2) z))))))) (+ (* -2 (/ x (* (pow y 2) z))) (+ (* -1 (/ (- (* 2 x) x) (* (pow y 2) z))) (+ (* -1 (/ (- (+ (* -4 (/ x z)) (/ x z)) (+ (* -2 (/ x z)) (* -1 (/ (- (* 2 x) x) z)))) (* (pow y 3) z))) (+ (* 2 (/ x (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (- (* 2 x) x) (* (pow y 3) (pow z 2)))) (/ x y)))))))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (* (pow x 2) (pow z 2)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (pow y 2))) (* (pow x 2) (pow z 2))) (* 2 (/ (* (pow x 2) z) y)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* -4 (pow x 2)) (pow x 2)) z)) (* -2 (/ (pow x 2) z))) (pow y 3))) (* (pow x 2) (pow z 2))) (+ (* -4 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (* (pow x 2) z) y)) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -2 (/ x (* (pow y 2) z))) (+ (* -1 (* x z)) (/ x y)))) |
(* y (+ (* -2 (/ x (* (pow y 2) z))) (+ (* -1 (* x z)) (+ (* 2 (/ x (* (pow y 3) (pow z 2)))) (/ x y))))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (+ (* -1 (* x z)) (* -1 (/ x (* (pow y 2) z)))) (* -1 (/ x y)))) |
(* y (- (+ (* -1 (* x z)) (/ x (* (pow y 3) (pow z 2)))) (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))))) |
(/ -1 (* x (* y z))) |
(* -1 (/ (+ (/ 1 (* x z)) (/ 1 (* x (* y (pow z 2))))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 3)))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y) |
(/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) (pow y 2))) (+ (/ 1 (* x z)) (/ 1 (* x (* y (pow z 2)))))) y) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (/ x (* y z))) |
(/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (+ (/ x (* y (pow z 2))) (/ x (* (pow y 3) (pow z 4)))))) y) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y)) |
(* -1 (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) (pow z 3))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (* y z)) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ (- (* 2 x) x) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x z))) (/ x z)) (* 4 (/ x z))) y)) (* 2 x)) x) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x z))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) z)) (* 2 (/ (pow x 2) z))) (* x z))) (* 4 (/ x (pow z 2)))) (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x (pow z 2)))) (+ (* 2 (/ x (pow z 2))) (+ (* 2 (/ (- (* 2 x) x) (pow z 2))) (/ x (pow z 2)))))) y)) (/ x z))) (* 4 (/ x z))) y)) (* 2 x)) x) y)) (* x z)))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (* (pow x 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -4 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -2 (* (pow x 2) z))) y)) (* (pow x 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* y z))) (* 2 (/ (pow x 2) (* y z)))) (+ (* -4 (pow x 2)) (pow x 2))) y)) (* -2 (* (pow x 2) z))) y)) (* (pow x 2) (pow z 2)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -2 (/ x (* y z)))) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -2 (/ x (* y (pow z 2)))) (* 2 (/ x z))) y))) y)) (* x z)))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ x (* y z))) (* -1 x)) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (* -1 (/ x z))) y)) (* -1 x)) y)) (* x z)))) |
(/ -1 (* x (* y z))) |
(* -1 (/ (+ (/ 1 (* x z)) (/ 1 (* x (* y (pow z 2))))) y)) |
(* -1 (/ (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* (pow y 2) (pow z 3)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) y)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (/ x (* y z))) |
(* -1 (/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ x z)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* y (pow z 4)))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y)) (/ x z)) y)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* -1 (/ x (+ 1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(/ (* (pow x 2) (* (pow y 4) (pow z 4))) (pow (- (* -1 (* y z)) 1) 2)) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(/ x (- (* -1 (* y z)) 1)) |
(/ x (- (* -1 (* y z)) 1)) |
(/ x (- (* -1 (* y z)) 1)) |
(/ x (- (* -1 (* y z)) 1)) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (- (* (pow y 2) z) (* -1 y)))) |
(fma.f64 (fma.f64 (*.f64 z z) y z) y #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (- (* (pow y 3) z) (* -1 (pow y 2)))) (* -1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) z (*.f64 y y)) z y) z #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* -1 (* (pow x 3) (pow z 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (pow z 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (pow z 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (pow z 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
x |
(+ x (* z (- (* -2 (* x y)) (* -1 (* x y))))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 y x) x) y)) x) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) z (*.f64 (neg.f64 y) x)) z x) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (+ (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (* z (- (* -1 (/ (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (* -2 (* (pow x 2) (pow y 3)))) x)) (+ (* -2 (* x (pow y 3))) (+ (* -1 (* y (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* 2 (* (pow y 2) (- (* -2 (* x y)) (* -1 (* x y)))))))))) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x))) x) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 y x) x) y)) x) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (neg.f64 y) (fma.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64))))) z (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 y x) x) y)) x) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64) (*.f64 (*.f64 y x) y)))) z (*.f64 (neg.f64 y) x)) z x) |
(* (pow x 2) (* (pow y 4) (pow z 4))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow z 4) (+ (* -2 (* (pow x 2) (* (pow y 5) z))) (* (pow x 2) (pow y 4)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* z (- (* -1 (* z (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* 2 (* (pow x 2) (pow y 5))))) (* (pow x 2) (pow y 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) x)) z (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x))) z)) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* z (- (* z (- (* -1 (* z (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* -2 (* (pow x 2) (pow y 7)))))) (+ (* -4 (* (pow x 2) (pow y 6))) (* (pow x 2) (pow y 6))))) (* 2 (* (pow x 2) (pow y 5))))) (* (pow x 2) (pow y 4)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal -2 binary64)) (fma.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (*.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) x) x)) (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 x x)))) z (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x))) z (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (pow.f64 z #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* z (+ (* -2 (* x (* (pow y 2) z))) (* x y)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) y) z) #s(literal -2 binary64) (*.f64 y x)) z (neg.f64 x)) |
(+ (* -1 x) (* z (+ (* x y) (* z (+ (* -2 (* x (pow y 2))) (* 2 (* x (* (pow y 3) z)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) z) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -2 binary64))) z (*.f64 y x)) z (neg.f64 x)) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y) y) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* x (* (pow y 3) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) z (*.f64 (*.f64 (neg.f64 y) x) y)) z) z) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* -1 (* x (* (pow y 4) z))) (* -1 (* x (pow y 3))))))) |
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(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (neg.f64 x)) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) z) z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) z) z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) z) z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) 1)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) z) z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ x (- (* -1 (* y z)) 1)) |
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ x (- (* -1 (* y z)) 1)) |
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ x (- (* -1 (* y z)) 1)) |
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/ x (- (* -1 (* y z)) 1)) |
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
| 3 426× | lower-/.f32 |
| 3 406× | lower-/.f64 |
| 3 250× | lower-*.f32 |
| 3 230× | lower-*.f64 |
| 2 932× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 350 |
| 0 | 90 | 198 |
| 1 | 427 | 184 |
| 2 | 4067 | 180 |
| 0 | 9048 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
(fma.f64 (*.f64 (neg.f64 z) x) y x) |
(*.f64 (neg.f64 z) x) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(pow.f64 (*.f64 z x) #s(literal 3 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x) #s(literal -3 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 6 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x))) |
(*.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 z) x) y)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) (/.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))))) |
(*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) (*.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z (neg.f64 x))) |
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 z) x) y)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 12 binary64)) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 6 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 z) x) y)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 z) x) y)))) |
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(fma.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z x) z) (*.f64 (*.f64 x x) z) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 z x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 z x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x x) z) (*.f64 z x)) #s(literal 0 binary64)) |
(fma.f64 z (*.f64 x (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 z (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64) (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 3 binary64)) (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64) (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 z x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 z x)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 z) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) |
(+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (*.f64 y x) z (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (*.f64 y x) z)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 y x) z x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (fma.f64 (*.f64 y x) z x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x))) |
(*.f64 x (/.f64 (neg.f64 x) (fma.f64 (*.f64 y x) z x))) |
(*.f64 x (*.f64 (neg.f64 x) (pow.f64 (fma.f64 (*.f64 y x) z x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) z x)) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))))) |
(/.f64 (*.f64 x x) (*.f64 (fma.f64 y (neg.f64 z) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x))) |
(neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 y x) z x)))) |
(neg.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y x) z x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y x) z x)) (neg.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) z x) x) (neg.f64 x))) #s(literal -1 binary64))) |
Compiled 157 748 to 6 232 computations (96% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 425 | 7 | 3 432 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 3 430 | 11 | 3 441 |
| Status | Accuracy | Program |
|---|---|---|
| 49.5% | (fma.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 z x)) (/.f64 y (*.f64 z x)) x) | |
| ▶ | 31.6% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
| 91.1% | (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))) y x) | |
| ✓ | 91.1% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 93.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 94.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
| ▶ | 65.5% | (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
| ✓ | 40.0% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 56.1% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ▶ | 94.5% | (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
| ▶ | 41.1% | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
Compiled 235 to 173 computations (26.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) | |
| cost-diff | 640 | (*.f64 #s(literal 0 binary64) (*.f64 z x)) | |
| cost-diff | 640 | (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) | |
| cost-diff | 8128 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) | |
| cost-diff | 8192 | (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 z y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) x) z) | |
| cost-diff | 0 | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) | |
| cost-diff | 0 | (-.f64 y (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) | |
| cost-diff | 832 | (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
| 7 416× | lower-fma.f32 |
| 7 408× | lower-fma.f64 |
| 6 608× | lower-*.f32 |
| 6 580× | lower-*.f64 |
| 1 978× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 444 |
| 0 | 101 | 401 |
| 1 | 252 | 343 |
| 2 | 679 | 300 |
| 3 | 4768 | 248 |
| 0 | 8626 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
x |
#s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(neg.f64 z) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(fma.f64 z y #s(literal -1 binary64)) |
z |
y |
x |
(*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
y |
(neg.f64 z) |
z |
(*.f64 y z) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
#s(literal 1 binary64) |
(*.f64 z y) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) |
(*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) |
(*.f64 z x) |
z |
x |
(*.f64 (*.f64 z x) z) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
y |
| Outputs |
|---|
(*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
(*.f64 #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) x) |
x |
#s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
#s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) |
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(neg.f64 z) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y z #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) |
#s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y z #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y z #s(literal -1 binary64)) x)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 y z #s(literal -1 binary64)) x) |
(fma.f64 z y #s(literal -1 binary64)) |
(fma.f64 y z #s(literal -1 binary64)) |
z |
y |
x |
(*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) x) z x) |
x |
(fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) |
(neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 y (neg.f64 z)) |
(*.f64 (neg.f64 y) z) |
y |
(neg.f64 z) |
z |
(*.f64 y z) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) y) |
#s(literal 1 binary64) |
(*.f64 z y) |
(*.f64 y z) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(fma.f64 (*.f64 (neg.f64 y) x) z x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(*.f64 (neg.f64 z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) |
(pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) |
(pow.f64 (*.f64 z x) #s(literal 3 binary64)) |
(*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 z x) |
z |
x |
(*.f64 (*.f64 z x) z) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(*.f64 (*.f64 (*.f64 z x) z) x) |
(fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))) |
(*.f64 (*.f64 (*.f64 z x) z) x) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
#s(literal 0 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.335021923794924 | (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) | |
| accuracy | 5.677357719620505 | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) | |
| accuracy | 8.121048341036865 | (*.f64 #s(literal 0 binary64) (*.f64 z x)) | |
| accuracy | 42.15164571495954 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) | |
| accuracy | 0.24742128907376804 | (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) | |
| accuracy | 0.4617422491854275 | (/.f64 #s(literal 1 binary64) (*.f64 z y)) | |
| accuracy | 3.4285010059704795 | (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) | |
| accuracy | 22.203005683706085 | (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) | |
| accuracy | 0.3235696001749618 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) | |
| accuracy | 3.4285010059704795 | (*.f64 (fma.f64 z y #s(literal -1 binary64)) x) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.6304119716795595 | (*.f64 (*.f64 (neg.f64 y) x) z) | |
| accuracy | 34.967325658231374 | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) | |
| accuracy | 0 | #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) | |
| accuracy | 0.0078125 | (-.f64 y (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.09765625 | (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) | |
| accuracy | 3.4285010059704795 | (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
| 539.0ms | 256× | 0 | valid |
Compiled 413 to 66 computations (84% saved)
ival-mult: 475.0ms (92.1% of total)ival-div: 16.0ms (3.1% of total)ival-add: 11.0ms (2.1% of total)ival-pow2: 5.0ms (1% of total)ival-sub: 4.0ms (0.8% of total)ival-neg: 4.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) (patch (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (patch #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) z)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) (patch #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) (patch #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 z y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 z y #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (neg.f64 z)) (patch (*.f64 y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) (patch (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (patch (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) (patch (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) (patch (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) (patch (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) (patch (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (patch #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (patch #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (patch #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (patch #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) z)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y z) 1) z) (taylor 0 z) (#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) z)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y z) 1) z) (taylor 0 z) (#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) z)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y z) 1) z) (taylor 0 z) (#s(alt (-.f64 y (/.f64 #s(literal 1 binary64) z)) (patch (-.f64 y (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) (patch #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) (patch (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) (patch (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) (patch (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow z 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) (patch (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (*.f64 #s(literal 0 binary64) (*.f64 z x)) (patch (*.f64 #s(literal 0 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 105.0ms | x | @ | -inf | ((* (- y (/ 1 z)) (neg z)) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (- y (/ 1 z)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ -1 (* (+ (* z y) -1) x)) (* (+ (* z y) -1) x) (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1)) (* y (neg z)) (neg z) (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* (* (* z x) (* (* z x) z)) x) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (/ 1 (* z y)) (* (* y (neg z)) (* y z)) (+ (* (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x)) |
| 27.0ms | x | @ | 0 | ((* (- y (/ 1 z)) (neg z)) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (- y (/ 1 z)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ -1 (* (+ (* z y) -1) x)) (* (+ (* z y) -1) x) (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1)) (* y (neg z)) (neg z) (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* (* (* z x) (* (* z x) z)) x) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (/ 1 (* z y)) (* (* y (neg z)) (* y z)) (+ (* (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x)) |
| 7.0ms | x | @ | inf | ((* (- y (/ 1 z)) (neg z)) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (- y (/ 1 z)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ -1 (* (+ (* z y) -1) x)) (* (+ (* z y) -1) x) (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1)) (* y (neg z)) (neg z) (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* (* (* z x) (* (* z x) z)) x) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (/ 1 (* z y)) (* (* y (neg z)) (* y z)) (+ (* (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x)) |
| 4.0ms | z | @ | inf | ((* (- y (/ 1 z)) (neg z)) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (- y (/ 1 z)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ -1 (* (+ (* z y) -1) x)) (* (+ (* z y) -1) x) (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1)) (* y (neg z)) (neg z) (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* (* (* z x) (* (* z x) z)) x) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (/ 1 (* z y)) (* (* y (neg z)) (* y z)) (+ (* (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x)) |
| 4.0ms | z | @ | -inf | ((* (- y (/ 1 z)) (neg z)) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (- y (/ 1 z)) (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ 1 (/ 1 (+ (* (* (neg z) x) y) x))) (/ 1 (+ (* (* (neg z) x) y) x)) (/ -1 (* (+ (* z y) -1) x)) (* (+ (* z y) -1) x) (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* y (neg z)) (* y z)) (/ 1 (* z y))) 1)) (* y (neg z)) (neg z) (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) (* (* (* z x) (* (* z x) z)) x) (* 0 (* z x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x)))) (/ 1 (* z y)) (* (* y (neg z)) (* y z)) (+ (* (/ (- 0 (* (* (* z x) (* (* z x) z)) x)) (+ 0 (+ (* (* z x) (* z x)) (* 0 (* z x))))) y) x)) |
| 1× | egg-herbie |
| 7 978× | lower-fma.f64 |
| 7 978× | lower-fma.f32 |
| 4 438× | lower-*.f64 |
| 4 438× | lower-*.f32 |
| 3 462× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 6130 |
| 1 | 1541 | 5712 |
| 2 | 5576 | 5602 |
| 0 | 8473 | 5444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(/ -1 z) |
(/ (- (* y z) 1) z) |
(/ (- (* y z) 1) z) |
(/ (- (* y z) 1) z) |
x |
(+ x (* z (- (* -2 (* x y)) (* -1 (* x y))))) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (+ (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (* z (- (* -1 (/ (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (* -2 (* (pow x 2) (pow y 3)))) x)) (+ (* -2 (* x (pow y 3))) (+ (* -1 (* y (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* 2 (* (pow y 2) (- (* -2 (* x y)) (* -1 (* x y)))))))))) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) x)) |
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) x)) |
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) |
(* -1 x) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* x (* y z))) |
(+ (* -1 x) (* x (* y z))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* (pow y 2) (pow z 2))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
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(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (+ 1 (* y z)) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ 1 (* x (+ 1 (* -1 (* y z))))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(/ -1 (* x (- (* y z) 1))) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (- (* y z) 1)) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
(* (pow x 3) (pow z 3)) |
0 |
0 |
0 |
0 |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (pow z 2)) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- (* y z) 1) z) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/ (- (* y z) 1) z) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/ (- (* y z) 1) z) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
x |
(+ x (* z (- (* -2 (* x y)) (* -1 (* x y))))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 y y)) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64) (*.f64 (*.f64 y y) x))) z (*.f64 (neg.f64 x) y)) z x) |
(+ x (* z (- (+ (* -2 (* x y)) (* z (- (+ (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (* z (- (* -1 (/ (+ (* -2 (* y (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (* -2 (* (pow x 2) (pow y 3)))) x)) (+ (* -2 (* x (pow y 3))) (+ (* -1 (* y (- (* -1 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) x)) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* 2 (* (pow y 2) (- (* -2 (* x y)) (* -1 (* x y)))))))))) (+ (* -1 (* y (- (* -2 (* x y)) (* -1 (* x y))))) (* 2 (* x (pow y 2))))))) (* -1 (* x y))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) x) (fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 y y)) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64) (*.f64 (*.f64 y y) x))) y)))) z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 y y)) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))) z (*.f64 (neg.f64 x) y)) z x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) |
(fma.f64 (fma.f64 y (/.f64 (*.f64 z y) x) (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 y (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) z (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) |
(fma.f64 (fma.f64 y (/.f64 (*.f64 z y) x) (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 y (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) z (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
y |
(- y (/ 1 z)) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
(- y (/ 1 z)) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
(- y (/ 1 z)) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (- (+ (* -1 (* x y)) (* 2 (/ x z))) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* z (- (+ (* -4 (/ x (* y (pow z 2)))) (+ (* -1 (* x y)) (+ (* 2 (/ x z)) (/ x (* y (pow z 2)))))) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ (- (* 2 x) x) (* y (pow z 2)))) (/ x z))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z z) y)) #s(literal -4 binary64) (fma.f64 (neg.f64 y) x (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 x (*.f64 (*.f64 z z) y))))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 x y) (-.f64 (/.f64 x z) (/.f64 x (*.f64 (*.f64 z z) y))))) z) |
(* z (- (+ (* -4 (/ x (* y (pow z 2)))) (+ (* -2 (/ x (* (pow y 2) (pow z 3)))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (pow x 2)) (* x (* (pow y 2) (pow z 3))))) (+ (* -1 (* x y)) (+ (* 2 (/ x z)) (/ x (* y (pow z 2)))))))) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ (- (* 2 x) x) (* y (pow z 2)))) (+ (* -1 (/ (- (+ (* -4 (/ x y)) (/ x y)) (+ (* -2 (/ x y)) (* -1 (/ (- (* 2 x) x) y)))) (* y (pow z 3)))) (+ (* 2 (/ x (* (pow y 2) (pow z 3)))) (+ (* 2 (/ (- (* 2 x) x) (* (pow y 2) (pow z 3)))) (/ x z)))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 z z)) (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 x y) y) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) x) (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) y)) (fma.f64 (neg.f64 y) x (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 x (*.f64 (*.f64 z z) y))))))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 x y) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 y y)) (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 y y))) (/.f64 x z)) (/.f64 x (*.f64 (*.f64 z z) y))))) z) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z) |
(/ -1 (* x (* y z))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) z) |
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) x))) z) |
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x))) z)) z) |
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z))))) z) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) x))) z)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) |
(/ -1 (* x (* y z))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) z) |
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) x))) z) |
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z) |
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(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) z #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) z #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) z #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (/ (* (pow y 4) (pow z 4)) (pow (- (* -1 (* y z)) 1) 2)) (/ 1 (pow (- (* -1 (* y z)) 1) 2)))) (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- (* -1 (* y z)) 1))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) z #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(/ -1 (* x (- (* y z) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(* x (- (* y z) 1)) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(* x (- (* y z) 1)) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(* x (- (* y z) 1)) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(* x (- (* y z) 1)) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 x x) z) z) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
| 3 570× | lower-*.f32 |
| 3 542× | lower-*.f64 |
| 3 422× | lower-fma.f32 |
| 3 414× | lower-fma.f64 |
| 2 392× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 367 |
| 0 | 101 | 296 |
| 1 | 490 | 172 |
| 2 | 4565 | 172 |
| 0 | 8323 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
#s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
(-.f64 y (/.f64 #s(literal 1 binary64) z)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
#s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x) |
(*.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 y (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 (-.f64 y (pow.f64 z #s(literal -1 binary64)))) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (pow.f64 z #s(literal -1 binary64))) z)) |
(*.f64 (neg.f64 z) (-.f64 y (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (-.f64 y (pow.f64 z #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 z #s(literal -2 binary64))) (neg.f64 z)) (+.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 z)) (fma.f64 y y (+.f64 (/.f64 y z) (pow.f64 z #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 (*.f64 y y) (pow.f64 z #s(literal -2 binary64)))) (+.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64)))) (fma.f64 y y (+.f64 (/.f64 y z) (pow.f64 z #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (-.f64 y (pow.f64 z #s(literal -1 binary64))) z)) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) y)) z (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) y)) z (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) y)) (*.f64 z y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) y)) (*.f64 z y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) y) (*.f64 (*.f64 (neg.f64 z) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) y) (*.f64 (*.f64 (neg.f64 z) y) z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) z) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) z) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (/.f64 z y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (/.f64 z y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) y) y) (/.f64 z z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) y) y) (/.f64 z z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) y) y) (/.f64 (*.f64 z y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) y) y) (/.f64 (*.f64 z y) z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 z y) z) (/.f64 (*.f64 (neg.f64 z) y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 z y) z) (/.f64 (*.f64 (neg.f64 z) y) y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) y) z) (/.f64 (*.f64 z y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) y) z) (/.f64 (*.f64 z y) y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 z y) y) (/.f64 (*.f64 (neg.f64 z) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 z y) y) (/.f64 (*.f64 (neg.f64 z) y) z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) z) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) z) z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (/.f64 z (*.f64 z y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (/.f64 z (*.f64 z y)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (*.f64 z (pow.f64 (*.f64 z y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (*.f64 z (pow.f64 (*.f64 z y) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) z) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) z) y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (neg.f64 y) z (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (neg.f64 y) z (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) |
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(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x))) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (pow.f64 (*.f64 x (neg.f64 z)) #s(literal 3 binary64)) (/.f64 y (pow.f64 (*.f64 x z) #s(literal 2 binary64))) x) |
(fma.f64 (pow.f64 (*.f64 x (neg.f64 z)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)) y) x) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) x) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) x) x) |
(fma.f64 (*.f64 (neg.f64 y) x) z x) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x)) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x)) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (*.f64 x y) (neg.f64 z) x) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64))) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) z) x) |
(fma.f64 (*.f64 (neg.f64 z) y) x x) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (/.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (/.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x))) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) z x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(fma.f64 x (*.f64 (neg.f64 z) y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(fma.f64 (neg.f64 z) (*.f64 x y) x) |
(fma.f64 z (*.f64 (neg.f64 y) x) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 z)) y)) |
(fma.f64 y (*.f64 x (neg.f64 z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (*.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 x y) z x)) (neg.f64 x) (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 (*.f64 x y) z x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x y) z x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) z x))) |
(+.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x) |
(+.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)) |
Compiled 31 476 to 2 793 computations (91.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 495 | 5 | 1 500 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 500 | 11 | 1 511 |
| Status | Accuracy | Program |
|---|---|---|
| 31.6% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (*.f64 (*.f64 x z) (*.f64 x z))) y x) | |
| ✓ | 91.1% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 93.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 40.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (* z y) -1) x) (*.f64 x (*.f64 z y)))))) | |
| 66.2% | (*.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (/.f64 z (*.f64 z y)) #s(literal 1 binary64))) | |
| ✓ | 40.0% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 56.1% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ✓ | 94.5% | (*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
| 40.5% | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (/.f64 y (pow.f64 (*.f64 x (neg.f64 z)) #s(literal -1 binary64)))) | |
| ✓ | 41.1% | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
| 40.6% | #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
Compiled 486 to 206 computations (57.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (* z y) -1) x) (*.f64 x (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 z) y) y) (/.f64 z (*.f64 z y)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (*.f64 (*.f64 x z) (*.f64 x z))) y x) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) z)) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (/.f64 y (pow.f64 (*.f64 x (neg.f64 z)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))) y x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 z x)) (/.f64 y (*.f64 z x)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) y x) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y x) z x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
6 calls:
| 41.0ms | z |
| 32.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 30.0ms | (*.f64 y z) |
| 27.0ms | x |
| 27.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | x |
| 96.6% | 2 | y |
| 97.2% | 3 | z |
| 99.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 99.8% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 99.8% | 3 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x #s(approx (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (* z y) -1) x) (*.f64 x (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg z) x) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y #s(literal -1 binary64)) x)))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
3 calls:
| 35.0ms | (*.f64 y z) |
| 21.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 99.8% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 99.8% | 3 | (*.f64 y z) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
| Outputs |
|---|
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
3 calls:
| 15.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 13.0ms | (*.f64 y z) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 99.8% | 3 | (*.f64 y z) |
| 99.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
6 calls:
| 32.0ms | x |
| 19.0ms | y |
| 19.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 14.0ms | (*.f64 y z) |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | z |
| 79.8% | 5 | y |
| 64.0% | 8 | x |
| 82.7% | 5 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 96.0% | 4 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 96.0% | 4 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
| Outputs |
|---|
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
2 calls:
| 11.0ms | (*.f64 y z) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 93.2% | 3 | (*.f64 y z) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
| Outputs |
|---|
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) |
2 calls:
| 8.0ms | (*.f64 y z) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 3 | (*.f64 y z) |
| 92.5% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
5 calls:
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 3.0ms | y |
| 3.0ms | z |
| 2.0ms | (*.f64 y z) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | y |
| 56.1% | 1 | z |
| 56.1% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 56.1% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 56.1% | 1 | (*.f64 y z) |
Compiled 17 to 23 computations (-35.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.397815069671699e+83 | 1.5402606001565344e+95 |
| 0.0ms | -1.1790101551322445e+286 | -2.7775074439244243e+285 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.730907774565408e+306 | 1.0115504608251926e+307 |
| 0.0ms | -7.338721119340641e-23 | -2.408194689656145e-47 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0115504608251926e+307 | +inf |
| 0.0ms | -8.432063902032141e+100 | -2.9500097426038044e+100 |
Compiled 10 to 13 computations (-30% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.269596039198521e-5 | 3.0068517366984633 |
| 0.0ms | -597.4910372747959 | -1.4213739087730386e-5 |
| 0.0ms | -1.1790101551322445e+286 | -2.7775074439244243e+285 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7240.884105803125 | 5681310.950868165 |
| 0.0ms | -2.0068517366984633 | 0.999957304039608 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000142137390877 | 598.4910372747959 |
| 0.0ms | -2.0068517366984633 | 0.999957304039608 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
| 42× | *-commutative-binary64-*.f64 |
| 22× | neg-sub0-binary64--.f64-neg.f64 |
| 22× | neg-mul-1-binary64-*.f64-neg.f64 |
| 18× | +-commutative-binary64-+.f64 |
| 18× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1096 |
| 1 | 112 | 1096 |
| 2 | 144 | 1096 |
| 3 | 168 | 1096 |
| 4 | 177 | 1096 |
| 5 | 180 | 1096 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 y z) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (fma.f64 (*.f64 x (neg.f64 z)) y x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 y z) #s(literal -500 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/147573952589676412928 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 10000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 y z) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))))) |
(if (<=.f64 (*.f64 z y) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) (if (<=.f64 (*.f64 z y) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) x) y x))))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (fma.f64 (*.f64 x (neg.f64 z)) y x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) (fma.f64 (*.f64 (neg.f64 z) x) y x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) (fma.f64 (*.f64 (neg.f64 z) x) y x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(literal -49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (*.f64 y z) #s(literal -500 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/147573952589676412928 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y))))) |
(if (<=.f64 (*.f64 z y) #s(literal -10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) (if (<=.f64 (*.f64 z y) #s(literal -500 binary64)) (*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) x) (if (<=.f64 (*.f64 z y) #s(literal 7378697629483821/147573952589676412928 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 10000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 10000 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -2 binary64)) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (- (* (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1))) (/ (pow (* (* (neg z) x) y) 2) (* x (+ (* (neg z) y) -1)))) (* (/ (* (neg x) x) (+ (* (* y x) z) x)) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (+ (* (pow (* (* (neg z) x) y) 2) (/ -1 (+ (* (* y x) z) x))) (/ (* (neg x) x) (+ (* (* y x) z) x)))) (*.f64 (*.f64 (neg.f64 z) x) y)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) |
| 22 928× | lower-fma.f64 |
| 22 928× | lower-fma.f32 |
| 12 974× | lower-fma.f32 |
| 12 968× | lower-fma.f64 |
| 11 858× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 446 |
| 1 | 136 | 416 |
| 2 | 296 | 416 |
| 3 | 488 | 416 |
| 4 | 2008 | 416 |
| 5 | 5035 | 416 |
| 6 | 6541 | 416 |
| 7 | 7282 | 416 |
| 8 | 7487 | 416 |
| 9 | 7593 | 416 |
| 10 | 7673 | 416 |
| 0 | 8014 | 416 |
| 0 | 24 | 103 |
| 0 | 41 | 96 |
| 1 | 152 | 96 |
| 2 | 970 | 96 |
| 0 | 8718 | 96 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 32 | 15 |
| 2 | 192 | 15 |
| 3 | 1532 | 15 |
| 0 | 9726 | 13 |
| 0 | 68 | 367 |
| 0 | 101 | 296 |
| 1 | 490 | 172 |
| 2 | 4565 | 172 |
| 0 | 8323 | 172 |
| 0 | 954 | 8526 |
| 1 | 3082 | 8048 |
| 0 | 9071 | 7774 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 442 to 241 computations (45.5% saved)
(negabs x)
Compiled 926 to 370 computations (60% saved)
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