
Time bar (total: 9.0s)
| 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)
| 727.0ms | 8 256× | 0 | valid |
ival-mult: 163.0ms (58.9% of total)ival-sub: 99.0ms (35.8% of total)ival-true: 7.0ms (2.5% of total)exact: 5.0ms (1.8% of total)ival-assert: 4.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 9 | 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 | 9 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 0 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 0 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 26.0ms (88.5% of total)ival-sub: 2.0ms (6.8% 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 |
|---|---|---|
| ▶ | 96.6% | (*.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 y z) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| accuracy | 2.185149173595871 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 15.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 3.0ms (58.6% of total)ival-sub: 1.0ms (19.5% 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 |
|---|
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Compiled 20 981 to 1 660 computations (92.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 691 | 9 | 700 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 692 | 9 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.7% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ▶ | 92.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 29.9% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) |
| 79.3% | (*.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)))) | |
| 29.8% | (*.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)))))) | |
| ▶ | 73.0% | (*.f64 x (+.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)))))) |
| 65.5% | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) | |
| 43.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| ▶ | 54.5% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 312 to 202 computations (35.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) | |
| cost-diff | 128 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| cost-diff | 320 | (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)))) | |
| cost-diff | 6848 | (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) | |
| cost-diff | 0 | (fma.f64 z y #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 128 | (+.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))))) | |
| cost-diff | 6848 | (*.f64 x (+.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)))))) | |
| 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) | |
| 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 z) | |
| cost-diff | 0 | (*.f64 x (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| 11 454× | lower-fma.f32 |
| 11 446× | lower-fma.f64 |
| 4 558× | lower-*.f32 |
| 4 540× | lower-*.f64 |
| 1 220× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 266 |
| 0 | 63 | 266 |
| 1 | 131 | 258 |
| 2 | 322 | 258 |
| 3 | 1453 | 243 |
| 4 | 4732 | 240 |
| 5 | 7432 | 240 |
| 0 | 8036 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
x |
(neg.f64 z) |
z |
y |
(*.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) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x (+.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)))))) |
x |
(+.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))))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
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)))) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(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 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(fma.f64 y (*.f64 (neg.f64 z) x) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
x |
(neg.f64 z) |
z |
y |
(*.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) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 y (*.f64 (neg.f64 z) x) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x (+.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 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
x |
(+.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))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))) z) y) (neg.f64 z) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
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 (*.f64 (*.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))) z) y) (neg.f64 z)) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 y) z) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 y (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
y |
(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 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) (*.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 (*.f64 y (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) (*.f64 z x)) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.1855569602255995 | (*.f64 (*.f64 x (neg.f64 z)) y) | |
| accuracy | 4.546844037453088 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| accuracy | 6.386710493320824 | (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) | |
| accuracy | 41.85571299216072 | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) | |
| accuracy | 2.185149173595871 | (*.f64 x (+.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)))))) | |
| accuracy | 6.8810333569469835 | (/.f64 y (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 8.272043378585378 | (*.f64 (*.f64 z z) y) | |
| accuracy | 10.21871422935184 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.690774174296655 | (fma.f64 (*.f64 x (neg.f64 y)) z x) | |
| accuracy | 2.185149173595871 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 29.35737903692722 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 2.0932802251005023 | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| 88.0ms | 256× | 0 | valid |
Compiled 276 to 39 computations (85.9% saved)
ival-mult: 24.0ms (34.5% of total)ival-add: 21.0ms (30.2% of total)ival-pow: 9.0ms (13% of total)ival-neg: 7.0ms (10.1% of total)ival-div: 3.0ms (4.3% of total)ival-sub: 2.0ms (2.9% of total)ival-pow2: 2.0ms (2.9% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (neg.f64 z) (patch (neg.f64 z) #<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 (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 (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ()) |
#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (* -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 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 (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 (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* (pow y 2) z) y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (* y z)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (* y z)) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y)) |
| 9.0ms | z | @ | inf | ((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y)) |
| 9.0ms | z | @ | -inf | ((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y)) |
| 8.0ms | x | @ | inf | ((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y)) |
| 8.0ms | y | @ | -inf | ((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y)) |
| 1× | egg-herbie |
| 5 262× | lower-fma.f64 |
| 5 262× | lower-fma.f32 |
| 4 784× | lower-*.f64 |
| 4 784× | lower-*.f32 |
| 1 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 5708 |
| 1 | 1633 | 5197 |
| 2 | 5197 | 5102 |
| 0 | 8083 | 4942 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)))) |
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 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* z (- (* (pow y 2) z) y))) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* y z)) |
(+ 1 (* y z)) |
(* (pow x 2) (* y z)) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(pow x 2) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(pow x 3) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
y |
(+ y (* -1 (* (pow y 2) z))) |
(+ y (* z (- (* (pow y 3) z) (pow y 2)))) |
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x 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 (* 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 (* 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 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(/ 1 (* y z)) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(* y z) |
(* z (+ y (/ 1 z))) |
(* z (+ y (/ 1 z))) |
(* z (+ y (/ 1 z))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z)))) |
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3)))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2))))))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2))))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 z) |
(/ (- 1 (/ 1 (* y z))) z) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) z) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) z) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x 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 (* 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 (* 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)) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (* z (- y (/ 1 z)))) |
(/ 1 (* y z)) |
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* y z) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y)))) |
(* -1 (* y z)) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 z) |
(* -1 (/ (- (/ 1 (* y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) 1) z)) |
(* -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)))) |
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 (* 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))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* y z)) |
(+ 1 (* y z)) |
(* (pow x 2) (* y z)) |
(* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) |
(* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) |
(* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) |
(pow x 2) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2)) |
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2)) |
(pow x 3) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z)))) |
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3)))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
y |
(* y (+ 1 (* -1 (* y z)))) |
(* y (+ 1 (* y (- (* y (pow z 2)) z)))) |
(* y (+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* 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 (* 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 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(/ 1 (* y z)) |
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y) |
(* y z) |
(* y (+ z (/ 1 y))) |
(* y (+ z (/ 1 y))) |
(* y (+ z (/ 1 y))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y)))) |
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3)))) |
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3)))) |
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z)))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 z) |
(- (/ 1 z) (/ 1 (* y (pow z 2)))) |
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) |
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* 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 (* 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)) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (- z (/ 1 y)))) |
(/ 1 (* y z)) |
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* y z) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z)))) |
(* -1 (* y z)) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y))))) |
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 z) |
(- (/ 1 z) (/ 1 (* y (pow z 2)))) |
(+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 3)) (/ 1 (* y (pow z 4)))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* 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 (/ (* (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))))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* 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 (/ (* (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))))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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 (* 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 (/ (* (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))))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) 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 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) 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)) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
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(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -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) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (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 z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(* -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) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (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)) |
| 6 910× | lower-fma.f32 |
| 6 902× | lower-fma.f64 |
| 4 362× | lower-*.f32 |
| 4 344× | lower-*.f64 |
| 3 592× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 206 |
| 0 | 63 | 180 |
| 1 | 266 | 144 |
| 2 | 1961 | 144 |
| 0 | 8274 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
(neg.f64 z) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x (+.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 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) |
(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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (*.f64 z z) y) |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
| Outputs |
|---|
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Compiled 60 335 to 3 888 computations (93.6% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 938 | 2 | 1 940 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 940 | 9 | 1 949 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.7% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 92.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 29.6% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) |
| ▶ | 79.3% | (*.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)))) |
| 29.8% | (*.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)))))) | |
| ▶ | 72.1% | (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) |
| ▶ | 65.5% | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) |
| ▶ | 43.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 54.5% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 288 to 188 computations (34.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) | |
| cost-diff | 128 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| cost-diff | 256 | (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) | |
| cost-diff | 960 | (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) | |
| cost-diff | 0 | (neg.f64 (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) | |
| 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 | (*.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 | 0 | (*.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)))) |
| 8 576× | lower-fma.f32 |
| 8 570× | lower-fma.f64 |
| 5 550× | lower-*.f32 |
| 5 516× | lower-*.f64 |
| 1 456× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 416 |
| 0 | 90 | 416 |
| 1 | 195 | 404 |
| 2 | 533 | 394 |
| 3 | 2266 | 386 |
| 4 | 4588 | 386 |
| 0 | 8128 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(*.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 |
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) |
x |
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
#s(approx (pow (+ (* z y) 1) -1) #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)))) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) |
x |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
| Outputs |
|---|
(*.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 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
#s(literal 1 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 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (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)) |
(*.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 |
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))) x) |
x |
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
(-.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (pow (+ (* z y) 1) -1) #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 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 z) y) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 y (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
x |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) |
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal -1 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) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) |
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) x) x)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x z) y) |
(*.f64 z x) |
(*.f64 x z) |
(*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) x) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.546844037453088 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| accuracy | 5.358600769503491 | (*.f64 (*.f64 (neg.f64 y) x) z) | |
| accuracy | 5.636710492816681 | (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) | |
| accuracy | 41.85571299216072 | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) | |
| accuracy | 0.21941376953688402 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 2.181242923595871 | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) | |
| accuracy | 14.348930307074145 | (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) | |
| accuracy | 20.11034476389046 | (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) | |
| accuracy | 6.8810333569469835 | (/.f64 y (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 8.272043378585378 | (*.f64 (*.f64 z z) y) | |
| accuracy | 10.21871422935184 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 29.22015165109908 | #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 2.185149173595871 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 33.95865852905197 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.21941376953688402 | (pow.f64 (*.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 2.8706518136840296 | (/.f64 x (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 10.018848637992129 | (*.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)))) |
| 351.0ms | 256× | 0 | valid |
Compiled 422 to 51 computations (87.9% saved)
ival-mult: 183.0ms (56.2% of total)ival-pow: 99.0ms (30.4% of total)ival-sub: 26.0ms (8% of total)ival-div: 6.0ms (1.8% of total)ival-add: 6.0ms (1.8% of total)ival-neg: 3.0ms (0.9% of total)ival-pow2: 3.0ms (0.9% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 #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 (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (patch (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 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 (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) (patch (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) (patch (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<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>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 #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 1 (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.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(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.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(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.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(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* (pow y 2) z) y))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (pow z 2))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (pow z 2))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (pow z 2))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (pow z 2))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3))))))))))) (taylor 0 z) (#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 82.0ms | x | @ | 0 | ((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z)) |
| 7.0ms | x | @ | -inf | ((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z)) |
| 7.0ms | z | @ | inf | ((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z)) |
| 6.0ms | x | @ | inf | ((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z)) |
| 6.0ms | y | @ | inf | ((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z)) |
| 1× | egg-herbie |
| 13 286× | lower-fma.f64 |
| 13 286× | lower-fma.f32 |
| 5 648× | lower-*.f64 |
| 5 648× | lower-*.f32 |
| 3 658× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 863 | 7870 |
| 1 | 2972 | 7358 |
| 0 | 8886 | 7088 |
| 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 (* (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 (* -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) |
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 (* z (- (* (pow y 2) z) y))) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (pow z 2))) |
x |
(+ x (* x (* y z))) |
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y)))) |
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3))))))))))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2))))))) |
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2)))))))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2))))) |
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2))))))) |
-1 |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(pow x 2) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
x |
(+ x (* x (* y z))) |
(+ x (* x (* y z))) |
(+ x (* x (* y z))) |
(pow x 3) |
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(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
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 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
y |
(+ y (* -1 (* (pow y 2) z))) |
(+ y (* z (- (* (pow y 3) z) (pow y 2)))) |
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2)))) |
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(* -1 (* (pow y 2) (pow z 2))) |
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(* (pow y 2) (pow z 2)) |
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(* (pow y 2) (pow z 2)) |
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(* -1 (* x (* y z))) |
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(/ 1 (* y z)) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
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(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (/ 1 y)) z) |
(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ 1 (* (pow y 6) (pow z 5))))) z) |
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(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2))))) |
(* x (* y z)) |
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(* z (- (/ x z) (* -1 (* x y)))) |
(* z (- (/ x z) (* -1 (* x y)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
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(/ 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) |
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(/ 1 z) |
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(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) z) |
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(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
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(* (pow y 2) (pow z 2)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
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(* -1 (* x (* y z))) |
(* -1 (* z (+ (* x y) (/ x z)))) |
(* -1 (* z (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) z)))) z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ x (* (pow y 2) z))) (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))) (/ x (* (pow y 2) z))) z))) z)) (* x y)))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ (- (* 2 (/ 1 (* (pow y 2) (pow z 2)))) 1) z))))) |
(* -1 (* z (+ y (* -1 (/ (- (+ (/ 2 (* (pow y 2) (pow z 2))) (/ 2 (* (pow y 3) (pow z 3)))) 1) z))))) |
(/ -1 (* y z)) |
(* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) (pow z 2))) (/ 1 y)) z)) |
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow y 4)) (/ 1 (* (pow y 6) (pow z 2)))) (pow z 3))) (/ 1 y)) (/ 1 (* (pow y 3) (pow z 2)))) z)) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2)))) |
(* 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 x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3))))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y)))) |
(/ 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)) |
(* -1 (* y z)) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 z) |
(* -1 (/ (- (/ 1 (* y z)) 1) z)) |
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(* 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))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y 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 (* -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) |
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 (* z (- (* (pow y 2) z) y))) |
(fma.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 z) (*.f64 y y)) z (neg.f64 y)) z #s(literal 1 binary64)) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
x |
(+ x (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3))))))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 y x)) z x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2))))))) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) z #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2))))) |
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2))))))) |
(fma.f64 (fma.f64 (neg.f64 y) y (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 z)))) (*.f64 z z) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
x |
(+ x (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 y x))) z x) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 z y) #s(literal 0 binary64)) z) (*.f64 y x)) z x) |
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)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 z))) y x) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z (*.f64 (neg.f64 x) y)) z x) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (*.f64 (neg.f64 z) z)) y) y) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
y |
(+ y (* -1 (* (pow y 2) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) y) |
(+ y (* z (- (* (pow y 3) z) (pow y 2)))) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) z y) |
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2)))) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z)) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z)) |
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z)) |
(* (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) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (- (/ 1 z) 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 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) z) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* z (+ (* -1 (* x y)) (* -1 (/ x z)))) |
(*.f64 (fma.f64 y x (/.f64 x z)) (neg.f64 z)) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64) (neg.f64 (fma.f64 y x (/.f64 x z)))) z) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (+ (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2)))) (* -1 (/ (- (* -1 (/ x (pow y 2))) (/ x (pow y 2))) (pow z 3))))))) |
(*.f64 (fma.f64 (neg.f64 x) y (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.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) (/ 2 (* (pow y 2) (pow z 3)))) (/ 1 z))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 #s(literal 1 binary64) z)) z) |
(* z (- (+ (* -1 y) (+ (* 2 (/ 1 (* (pow y 2) (pow z 3)))) (* 2 (/ 1 (* (pow y 3) (pow z 4)))))) (/ 1 z))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) z)) z) |
(/ -1 (* y z)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/ (- (/ 1 (* (pow y 3) (pow z 2))) (/ 1 y)) z) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* 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 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(/ 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))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
| 5 034× | lower-fma.f32 |
| 5 028× | lower-fma.f64 |
| 4 370× | lower-*.f32 |
| 4 336× | lower-*.f64 |
| 3 386× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 302 |
| 0 | 90 | 296 |
| 1 | 368 | 285 |
| 2 | 2794 | 283 |
| 0 | 8428 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #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) |
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) |
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (*.f64 z z) y) |
(/.f64 y (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
| Outputs |
|---|
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Compiled 60 485 to 4 942 computations (91.8% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 908 | 6 | 1 914 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 913 | 10 | 1 923 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.7% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 92.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 15.1% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
| 29.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x z) y x) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))))) | |
| ▶ | 79.3% | (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| ▶ | 81.0% | (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
| ▶ | 64.3% | (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) |
| ✓ | 43.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 54.5% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ▶ | 45.6% | #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
Compiled 281 to 185 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 128 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) z) y) | |
| cost-diff | 0 | #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) |
| 6 980× | lower-fma.f32 |
| 6 970× | lower-fma.f64 |
| 6 498× | lower-*.f32 |
| 6 464× | lower-*.f64 |
| 1 862× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 479 |
| 0 | 107 | 479 |
| 1 | 224 | 472 |
| 2 | 580 | 463 |
| 3 | 2401 | 455 |
| 4 | 5017 | 455 |
| 0 | 8237 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
x |
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 y z) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) |
x |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) |
(*.f64 (*.f64 y z) y) |
(*.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 3 binary64)) |
(*.f64 z y) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))) |
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 (fma.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y) #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))) x) |
x |
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y) #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))) |
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y)) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 z) x) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 x) z) |
(*.f64 (neg.f64 z) x) |
(neg.f64 x) |
x |
z |
y |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 y z) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (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)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
x |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) |
(*.f64 (*.f64 y z) y) |
(*.f64 (*.f64 y y) z) |
(*.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) |
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(pow.f64 (*.f64 z y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) x) (fma.f64 (*.f64 (*.f64 (*.f64 z x) y) z) y #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) |
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 z x) z) #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))) |
(*.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) x) |
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.546844037453088 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| accuracy | 5.636710492816681 | (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) | |
| accuracy | 33.780700381042045 | #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) | |
| accuracy | 41.85571299216072 | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) | |
| accuracy | 2.181242923595871 | (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) | |
| accuracy | 2.62298645559444 | (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) | |
| accuracy | 14.348930307074145 | (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) | |
| accuracy | 20.11034476389046 | (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.10451127930532605 | (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 2.8706518136840296 | (/.f64 x (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 10.018848637992129 | (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.1855569602255995 | (*.f64 (*.f64 (neg.f64 x) z) y) | |
| accuracy | 33.7367879652745 | #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) | |
| accuracy | 8.272043378585378 | (*.f64 (*.f64 z z) y) | |
| accuracy | 10.21871422935184 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 29.22015165109908 | #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) | |
| accuracy | 34.14164705091344 | #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) |
| 100.0ms | 256× | 0 | valid |
Compiled 453 to 54 computations (88.1% saved)
ival-mult: 35.0ms (49.4% of total)ival-pow: 13.0ms (18.4% of total)ival-div: 9.0ms (12.7% of total)ival-add: 7.0ms (9.9% of total)ival-neg: 4.0ms (5.6% of total)ival-sub: 2.0ms (2.8% 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 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) z) y) (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) #<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 (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) (patch (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) (patch (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z 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>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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 (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z))) |
| 6.0ms | x | @ | inf | ((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z))) |
| 6.0ms | x | @ | -inf | ((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z))) |
| 5.0ms | z | @ | -inf | ((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z))) |
| 5.0ms | z | @ | inf | ((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z))) |
| 1× | egg-herbie |
| 13 356× | lower-fma.f64 |
| 13 356× | lower-fma.f32 |
| 5 656× | lower-*.f64 |
| 5 656× | lower-*.f32 |
| 3 650× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 855 | 8380 |
| 1 | 2963 | 7727 |
| 0 | 8886 | 7413 |
| 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 (* z (- (* (pow y 2) z) y))) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -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)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* x (* y z))) |
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y)))) |
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3))))))))))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2))))))) |
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2)))))))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2))))) |
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2))))))) |
-1 |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(pow x 2) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(pow x 3) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
y |
(+ y (* -1 (* (pow y 2) z))) |
(+ y (* z (- (* (pow y 3) z) (pow y 2)))) |
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2)))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
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)))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
x |
(+ x (* x (* y z))) |
(+ x (* x (* y z))) |
(+ x (* 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))) |
(/ 1 (* y z)) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2))))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2))))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y 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 y 2)) (/ 1 (pow z 2)))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
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(- (* (pow y 2) (pow z 2)) 1) |
(pow x 2) |
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(* -1 (/ (+ (* -1 (/ (+ (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) (pow y 2))) (/ 1 z)) y)) |
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow z 4)) (/ 1 (* (pow y 2) (pow z 6)))) (pow y 3))) (/ 1 z)) (/ 1 (* (pow y 2) (pow z 3)))) y)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3))))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(/ 1 z) |
(- (/ 1 z) (/ 1 (* y (pow z 2)))) |
(+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 3)) (/ 1 (* y (pow z 4)))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 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)) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z)))) |
(* x (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* x 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 (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -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 (/ (* (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 (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -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 (/ (* (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))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(/ x (+ 1 (* y z))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
(* x (+ 1 (* y z))) |
| Outputs |
|---|
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)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(+ 1 (* z (- (* (pow y 2) z) y))) |
(fma.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) z (neg.f64 y)) z #s(literal 1 binary64)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (*.f64 (neg.f64 z) z)) y) y) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 x z))) y x) |
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 z y) #s(literal 0 binary64)) z (*.f64 (neg.f64 y) x)) z x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z)) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) 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 (* 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 (* x (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3))))))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x y)) z x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2))))))) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) z #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z)) |
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2))))) |
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2))))))) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z) z (neg.f64 (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 z z) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64)) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64)) |
(- (* (pow y 2) (pow z 2)) 1) |
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* (pow x 2) (* y z)) (pow x 2)) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
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(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
| 6 168× | lower-fma.f32 |
| 6 158× | lower-fma.f64 |
| 4 596× | lower-*.f32 |
| 4 562× | lower-*.f64 |
| 3 394× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 367 |
| 0 | 107 | 357 |
| 1 | 401 | 345 |
| 2 | 2940 | 341 |
| 0 | 8622 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) |
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z z) y) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) |
| Outputs |
|---|
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Compiled 53 571 to 4 129 computations (92.3% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 655 | 3 | 1 658 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 657 | 11 | 1 668 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.7% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 92.7% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 15.1% | (/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) | |
| 15.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 x z) y)) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))))) | |
| ✓ | 79.3% | (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| ✓ | 81.0% | (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
| ✓ | 64.3% | (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) |
| ✓ | 43.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 54.5% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| 42.7% | #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z)) | |
| ✓ | 45.6% | #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
Compiled 575 to 215 computations (62.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.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 (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) |
(*.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 x (+.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 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 x z) y)) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x z) y x) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 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 (+.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)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
6 calls:
| 11.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 9.0ms | y |
| 7.0ms | x |
| 6.0ms | z |
| 6.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | x |
| 96.7% | 1 | y |
| 96.7% | 1 | z |
| 98.4% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 98.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 98.4% | 2 | (*.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 x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.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 x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
3 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 3.0ms | x |
| 2.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 98.4% | 2 | (*.f64 y z) |
| 96.6% | 1 | x |
Compiled 9 to 13 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
6 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 2.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 3 | x |
| 79.2% | 3 | y |
| 81.1% | 3 | z |
| 86.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 95.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 95.9% | 3 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% 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))) |
6 calls:
| 2.0ms | (*.f64 y z) |
| 1.0ms | x |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 1 | x |
| 54.5% | 1 | y |
| 54.5% | 1 | z |
| 54.5% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 54.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 54.5% | 1 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.376338959206667e-169 | 3.797052276724003e-165 |
| 5.0ms | 128× | 0 | valid |
Compiled 122 to 133 computations (-9% saved)
ival-mult: 2.0ms (79.9% of total)ival-sub: 1.0ms (40% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.5157970532680685e+162 | -2.211580056777716e+148 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00017663083173054717 | 269.91334364119797 |
| 0.0ms | -164879127482.23633 | -4.51318272620276 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 187 |
| 1 | 69 | 187 |
| 2 | 90 | 187 |
| 3 | 104 | 187 |
| 4 | 109 | 187 |
| 5 | 110 | 187 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 (neg.f64 z) x) y x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x))))) |
(*.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 |
| 13 286× | lower-fma.f64 |
| 13 286× | lower-fma.f32 |
| 6 910× | lower-fma.f32 |
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 | 35 | 206 |
| 0 | 63 | 180 |
| 1 | 266 | 144 |
| 2 | 1961 | 144 |
| 0 | 8274 | 144 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 32 | 15 |
| 2 | 192 | 15 |
| 3 | 1532 | 15 |
| 0 | 9726 | 13 |
| 0 | 863 | 7870 |
| 1 | 2972 | 7358 |
| 0 | 8886 | 7088 |
| 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 |
Compiled 184 to 104 computations (43.5% saved)
Compiled 302 to 170 computations (43.7% saved)
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