
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 770.0ms | 8 256× | 0 | valid |
ival-mult: 233.0ms (73.4% of total)ival-sub: 71.0ms (22.4% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 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 | 13 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 0 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 0 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 7.0ms (55.2% of total)ival-sub: 5.0ms (39.4% of total)ival-true: 1.0ms (7.9% 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 |
|---|---|---|
| ▶ | 95.1% | (*.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 | 3.149908418905334 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 11.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 3.0ms (59.7% of total)ival-sub: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 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 | z | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | z | @ | inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1× | egg-herbie |
| 4 784× | lower-fma.f64 |
| 4 784× | lower-fma.f32 |
| 2 664× | lower-*.f64 |
| 2 664× | lower-*.f32 |
| 1 142× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 446 |
| 1 | 136 | 416 |
| 2 | 296 | 416 |
| 3 | 488 | 416 |
| 4 | 2008 | 416 |
| 5 | 5035 | 416 |
| 6 | 6541 | 416 |
| 7 | 7282 | 416 |
| 8 | 7487 | 416 |
| 9 | 7593 | 416 |
| 10 | 7673 | 416 |
| 0 | 8014 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (- (/ 1 z) y)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* z (+ (* -1 y) (/ 1 z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) z)) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ 1 y))) |
(fma.f64 (neg.f64 z) y #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- 1 (* y z))) |
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x)) |
| 22 928× | lower-fma.f64 |
| 22 928× | lower-fma.f32 |
| 3 886× | lower-*.f32 |
| 3 882× | lower-*.f64 |
| 3 016× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 32 | 15 |
| 2 | 192 | 15 |
| 3 | 1532 | 15 |
| 0 | 9726 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 z (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal -1 binary64))) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (*.f64 z z) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (*.f64 z y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 y y) z) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 z z) y) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 1 binary64))) |
(+.f64 (*.f64 z y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) y)) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z y))) |
(+.f64 #s(literal 0 binary64) (*.f64 z y)) |
Compiled 20 981 to 1 660 computations (92.1% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 695 | 5 | 700 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 695 | 6 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ▶ | 95.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 32.6% | (*.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)))))) |
| ✓ | 95.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ▶ | 49.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ▶ | 45.8% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 127 to 93 computations (26.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 704 | (*.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)))))) | |
| 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 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 x (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 z)) y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 13 584× | lower-fma.f32 |
| 13 578× | lower-fma.f64 |
| 3 646× | lower-*.f32 |
| 3 630× | lower-*.f64 |
| 2 002× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 232 |
| 0 | 50 | 232 |
| 1 | 102 | 222 |
| 2 | 237 | 222 |
| 3 | 1163 | 209 |
| 4 | 4225 | 209 |
| 5 | 6439 | 209 |
| 0 | 8146 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
x |
(neg.f64 z) |
z |
y |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(+.f64 (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 |
(/.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))))) |
#s(literal 1 binary64) |
(fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(-.f64 (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 y)) z x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
z |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
x |
(neg.f64 z) |
z |
y |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #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 z y) #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 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 |
(/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 z y) (fma.f64 (*.f64 z x) y x) x)) |
#s(literal 1 binary64) |
(fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #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 z (fma.f64 (*.f64 z x) y x)) (*.f64 y x)) |
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.925865897602889 | (*.f64 (*.f64 x (neg.f64 z)) y) | |
| accuracy | 5.042966685830206 | (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) | |
| accuracy | 6.894485838264528 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| accuracy | 40.73982237133967 | (*.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)))))) | |
| accuracy | 0 | (*.f64 x (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 4.204700705470008 | (fma.f64 (*.f64 x (neg.f64 z)) y x) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.149908418905334 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 29.15650666266223 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 3.149908418905334 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 34.837951639342485 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 2.8957909268439046 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 58.0ms | 256× | 0 | valid |
Compiled 225 to 30 computations (86.7% saved)
ival-mult: 16.0ms (39.6% of total)ival-pow2: 6.0ms (14.8% of total)ival-pow: 6.0ms (14.8% of total)ival-add: 4.0ms (9.9% of total)ival-div: 2.0ms (4.9% of total)ival-sub: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (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 (*.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)))))) (patch (*.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)))))) #<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 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 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (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 x (taylor 0 z) (#s(alt (*.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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) (taylor -inf x) (#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) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) (taylor -inf x) (#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) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) (taylor -inf x) (#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) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) (taylor -inf x) (#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 (* -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))) (/.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)))))) (patch (*.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)))))) #<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))) (/.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)))))) (patch (*.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)))))) #<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))) (/.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)))))) (patch (*.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)))))) #<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))) (/.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)))))) (patch (*.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)))))) #<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 (* (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 (* (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 (* 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 | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (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)) (* (* x (neg z)) y)) |
| 6.0ms | z | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (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)) (* (* x (neg z)) y)) |
| 5.0ms | y | @ | -inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (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)) (* (* x (neg z)) y)) |
| 5.0ms | x | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (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)) (* (* x (neg z)) y)) |
| 4.0ms | x | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (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)) (* (* x (neg z)) y)) |
| 1× | egg-herbie |
| 14 752× | lower-fma.f64 |
| 14 752× | lower-fma.f32 |
| 5 950× | lower-*.f64 |
| 5 950× | lower-*.f32 |
| 3 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 4362 |
| 1 | 889 | 3924 |
| 2 | 3123 | 3776 |
| 0 | 8231 | 3668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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)))) |
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)))) |
(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)) |
(* -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 (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* y z)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* z (- (/ 1 z) y)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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))) |
(* -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))))))) |
(* (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))) |
(* -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 (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* z (+ (* -1 y) (/ 1 z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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))) |
(* -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)))) |
(* (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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(+ 1 (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* y z)))) |
(* (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)))) |
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)))) |
(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)) |
(* -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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* (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))) |
(* -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)))))) |
(* (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))) |
(* -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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* (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))) |
(* -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)))) |
(* (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 (* 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 y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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)))) |
(/ (* 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)))) |
(* (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))))) |
(* -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 y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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)))) |
(/ (* 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)))) |
(* (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))))) |
(* -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 y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* x (- 1 (* y z))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x (- (* y z) 1))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (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)))) |
(* -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))))) |
(* (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 (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
| Outputs |
|---|
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) |
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))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 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))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(+ 1 (* -1 (* y z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (* x (* y z)))) |
(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 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* (pow x 2) (* y z)) |
(*.f64 (*.f64 (*.f64 y x) z) x) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
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 x) (*.f64 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 (neg.f64 x) (*.f64 z y) x) |
(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) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x 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 (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)))) (pow x 3)) |
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(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (+ 1 (* -1 (* y z)))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.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))) (neg.f64 x)) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.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))) (neg.f64 x)) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.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))) (neg.f64 x)) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 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))) |
(* -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))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) 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 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* x (- 1 (* y z))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x (- (* y z) 1))) |
(fma.f64 (neg.f64 x) (*.f64 z y) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y)) (*.f64 x x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 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 (* 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)) |
| 11 960× | lower-fma.f32 |
| 11 954× | lower-fma.f64 |
| 4 560× | lower-*.f32 |
| 4 544× | lower-*.f64 |
| 3 008× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 158 |
| 0 | 50 | 130 |
| 1 | 198 | 126 |
| 2 | 1434 | 126 |
| 0 | 8397 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(fma.f64 (*.f64 x (neg.f64 z)) y x) |
(*.f64 x (neg.f64 z)) |
(-.f64 (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)))))) |
(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 x (neg.f64 z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 (*.f64 (neg.f64 z) x) y x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (+.f64 x (*.f64 (*.f64 z y) x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64)))) |
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 z) x) y)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) |
(fma.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) x) y) (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) x)) |
(fma.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) x (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) x) y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) x) y) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 x (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (neg.f64 z) x) (*.f64 y (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 y (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 (*.f64 (neg.f64 z) y) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) |
(fma.f64 x (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (*.f64 x (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) x) y)) (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) x)) |
(+.f64 (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) x) (*.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) x) y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)))))) |
(+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 (neg.f64 z) x)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 z) x))) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) x) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) x) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) x) y)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) x) y))) |
(*.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(*.f64 z (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
(*.f64 x (exp.f64 (log.f64 (*.f64 (neg.f64 z) y)))) |
(*.f64 x (*.f64 (neg.f64 z) y)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) x) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 y x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) z)) |
(exp.f64 (log.f64 (*.f64 (*.f64 (neg.f64 z) x) y))) |
Compiled 75 077 to 3 920 computations (94.8% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 962 | 1 | 1 963 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 963 | 6 | 1 969 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.4% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 95.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 8.8% | (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
| ✓ | 95.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 45.8% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 59 to 51 computations (13.6% saved)
| 1× | egg-herbie |
Found 4 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 | (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
| 14 934× | lower-fma.f64 |
| 14 934× | lower-fma.f32 |
| 4 870× | lower-*.f32 |
| 4 854× | lower-*.f64 |
| 2 182× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 191 |
| 0 | 42 | 191 |
| 1 | 87 | 183 |
| 2 | 247 | 168 |
| 3 | 1144 | 157 |
| 4 | 3748 | 157 |
| 5 | 5663 | 157 |
| 0 | 8105 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(+.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 |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))) |
#s(literal 1 binary64) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) |
(+.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 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
y |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(*.f64 (*.f64 (*.f64 (*.f64 y z) x) z) y) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.894485838264528 | (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) | |
| accuracy | 7.60006892642862 | (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) | |
| accuracy | 21.205797856900578 | #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) | |
| accuracy | 40.73982237133967 | (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
| 183.0ms | 256× | 0 | valid |
Compiled 157 to 25 computations (84.1% saved)
ival-pow: 149.0ms (86.7% of total)ival-mult: 14.0ms (8.2% of total)ival-div: 2.0ms (1.2% of total)ival-add: 2.0ms (1.2% of total)ival-pow2: 2.0ms (1.2% of total)ival-sub: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 (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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<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 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ()) |
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#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 (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | x | @ | inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* 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)))) (* (* (* (* y y) z) z) x)) |
| 3.0ms | x | @ | -inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* 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)))) (* (* (* (* y y) z) z) x)) |
| 3.0ms | x | @ | 0 | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* 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)))) (* (* (* (* y y) z) z) x)) |
| 2.0ms | z | @ | inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* 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)))) (* (* (* (* y y) z) z) x)) |
| 2.0ms | y | @ | inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* 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)))) (* (* (* (* y y) z) z) x)) |
| 1× | egg-herbie |
| 18 194× | lower-fma.f64 |
| 18 194× | lower-fma.f32 |
| 5 828× | lower-*.f64 |
| 5 828× | lower-*.f32 |
| 3 304× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 2616 |
| 1 | 833 | 2432 |
| 2 | 3079 | 2288 |
| 0 | 8367 | 2210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(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)))) |
(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)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (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 (* (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 (* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* -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 (* (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 (* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
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)))) |
(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)))) |
(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)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* -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 (* (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 (* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* -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 (* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(/ (* 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)))) |
(* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(/ (* 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)))) |
(* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* -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 (* (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)))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) 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)))) |
(*.f64 (fma.f64 (neg.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 (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)))) (pow x 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))) |
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 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))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
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(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(* (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))) |
(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 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (/.f64 (neg.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) |
(* (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))) |
(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 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.f64 (neg.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 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.f64 (neg.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 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.f64 (neg.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 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.f64 (neg.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 (* (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 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
| 8 118× | lower-fma.f64 |
| 8 118× | lower-fma.f32 |
| 5 402× | lower-*.f32 |
| 5 386× | lower-*.f64 |
| 3 238× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 113 |
| 0 | 42 | 111 |
| 1 | 155 | 107 |
| 2 | 1038 | 99 |
| 0 | 8428 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(+.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 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 y (*.f64 (neg.f64 z) x) x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (+.f64 x (*.f64 z (*.f64 x y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x (*.f64 z x)) y))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) x (neg.f64 x)) (*.f64 x x)) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 y y) z)) z) |
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 z x) (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (*.f64 y y) z) (*.f64 z x)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 z z) x)) |
(*.f64 (*.f64 y y) (*.f64 z (*.f64 z x))) |
(*.f64 y (*.f64 (*.f64 y z) (*.f64 z x))) |
(*.f64 z (*.f64 (*.f64 (*.f64 y y) z) x)) |
(*.f64 z (*.f64 (*.f64 y y) (*.f64 z x))) |
(*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
Compiled 23 068 to 1 338 computations (94.2% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 2 | 551 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 550 | 7 | 557 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.4% | (fma.f64 (*.f64 x (neg.f64 z)) y x) |
| ✓ | 95.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 8.8% | (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
| ✓ | 95.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 45.8% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ▶ | 51.8% | #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
Compiled 67 to 58 computations (13.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (*.f64 (neg.f64 z) x)) | |
| cost-diff | 0 | (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
| 9 528× | lower-fma.f32 |
| 9 526× | lower-fma.f64 |
| 4 356× | lower-*.f32 |
| 4 334× | lower-*.f64 |
| 1 754× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 250 |
| 0 | 52 | 248 |
| 1 | 121 | 236 |
| 2 | 323 | 220 |
| 3 | 1550 | 205 |
| 4 | 5159 | 205 |
| 5 | 7993 | 205 |
| 0 | 8516 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(neg.f64 z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
y |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))) |
#s(literal 1 binary64) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
(neg.f64 z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #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))) |
(*.f64 x x) |
x |
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) |
(neg.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
y |
(*.f64 (neg.f64 z) x) |
(*.f64 (neg.f64 x) z) |
(neg.f64 z) |
z |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(*.f64 (*.f64 (*.f64 (*.f64 z x) y) z) y) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.575727027374048 | (*.f64 (*.f64 y y) z) | |
| accuracy | 7.60006892642862 | (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) | |
| accuracy | 21.205797856900578 | #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) | |
| accuracy | 40.73982237133967 | (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.808628104351197 | (*.f64 (neg.f64 z) (*.f64 y x)) | |
| accuracy | 28.934188522364614 | #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
| 609.0ms | 256× | 0 | valid |
Compiled 211 to 33 computations (84.4% saved)
ival-pow2: 167.0ms (74.6% of total)ival-mult: 39.0ms (17.4% of total)ival-pow: 10.0ms (4.5% of total)ival-add: 3.0ms (1.3% of total)ival-div: 2.0ms (0.9% of total)ival-sub: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% 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 #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) z) (patch (*.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))) (taylor 0 z) (#s(alt #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 348.0ms | z | @ | 0 | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z)) |
| 10.0ms | y | @ | -inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z)) |
| 4.0ms | x | @ | inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z)) |
| 4.0ms | x | @ | -inf | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z)) |
| 3.0ms | x | @ | 0 | ((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z)) |
| 1× | egg-herbie |
| 17 598× | lower-fma.f64 |
| 17 598× | lower-fma.f32 |
| 4 770× | lower-*.f64 |
| 4 770× | lower-*.f32 |
| 3 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 3200 |
| 1 | 749 | 3040 |
| 2 | 2683 | 2896 |
| 0 | 8144 | 2794 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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 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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(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)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* -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))) |
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(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -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 (* (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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -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 (* (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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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 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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y 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)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -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 (* (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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x 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)))) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* (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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(/ (* 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 y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* -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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -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))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* 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)))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* (pow y 2) (pow z 2))) |
| Outputs |
|---|
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) 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 (neg.f64 y) (*.f64 z x) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -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)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) 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 (neg.f64 y) (*.f64 z x) x) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(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) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) 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))))))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) 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))))))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z) |
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z)) |
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -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)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -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)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* (pow x 2) (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x) |
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ 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)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (* x (* y z)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(+ 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)))) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(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)) |
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2)) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2)) |
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(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) |
(*.f64 (/.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))) (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) |
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
| 10 944× | lower-fma.f32 |
| 10 942× | lower-fma.f64 |
| 4 998× | lower-*.f32 |
| 4 976× | lower-*.f64 |
| 2 852× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 167 |
| 0 | 52 | 162 |
| 1 | 216 | 132 |
| 2 | 1255 | 123 |
| 0 | 8339 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(neg.f64 z) |
(*.f64 y x) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(*.f64 x x) |
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) |
(*.f64 (*.f64 y y) z) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 z) y))) x) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 (neg.f64 x) z)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) z))) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 (*.f64 y z) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 z) y) x) |
(*.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(*.f64 y (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 z (*.f64 (neg.f64 y) x)) |
(*.f64 x (exp.f64 (log.f64 (*.f64 (neg.f64 z) y)))) |
(*.f64 x (*.f64 (neg.f64 z) y)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y))) |
(neg.f64 (*.f64 x (*.f64 y z))) |
(neg.f64 (*.f64 (*.f64 z x) y)) |
(fma.f64 (*.f64 y x) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y)) |
(exp.f64 (log.f64 (*.f64 (*.f64 (neg.f64 y) x) z))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 z z)) z) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (fma.f64 (*.f64 y x) (neg.f64 z) x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (+.f64 x (*.f64 (*.f64 z x) y)))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y z) (*.f64 x x)))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 y x) (neg.f64 z) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (fma.f64 (*.f64 y x) (neg.f64 z) x)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 x (*.f64 (*.f64 z x) y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (neg.f64 (fma.f64 (*.f64 y z) x x)) (*.f64 x x)) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 y x) (neg.f64 z) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (neg.f64 z) x) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (neg.f64 (fma.f64 (*.f64 y z) x x)) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 y y) z)) z) |
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 z x) (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (*.f64 y y) z) (*.f64 z x)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 z z) x)) |
(*.f64 (*.f64 y y) (*.f64 z (*.f64 z x))) |
(*.f64 y (*.f64 (*.f64 y z) (*.f64 z x))) |
(*.f64 z (*.f64 (*.f64 (*.f64 y y) z) x)) |
(*.f64 z (*.f64 (*.f64 y y) (*.f64 z x))) |
(*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (*.f64 y z) y) |
(*.f64 (*.f64 y y) z) |
(*.f64 y (*.f64 y z)) |
(*.f64 z (*.f64 y y)) |
Compiled 18 805 to 1 174 computations (93.8% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 655 | 1 | 656 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 4 | 5 |
| Total | 656 | 7 | 663 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 8.8% | (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
| ✓ | 95.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| ✓ | 45.8% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| 51.1% | #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) | |
| ✓ | 51.8% | #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
Compiled 203 to 110 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
6 calls:
| 8.0ms | (*.f64 y z) |
| 7.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | x |
| 97.2% | 2 | y |
| 95.5% | 1 | z |
| 99.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 99.9% | 3 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
6 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 y z) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | z |
| 77.3% | 3 | y |
| 60.7% | 4 | x |
| 86.6% | 4 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 96.2% | 4 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 96.2% | 4 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.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)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
2 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 2.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 94.5% | 3 | (*.f64 y z) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) |
2 calls:
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 94.1% | 3 | (*.f64 y z) |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
6 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | x |
| 45.8% | 1 | y |
| 45.8% | 1 | z |
| 45.8% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 45.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 45.8% | 1 | (*.f64 y z) |
Compiled 18 to 26 computations (-44.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.270379833270897e+201 | 1.6962858121561538e+224 |
| 0.0ms | -3.417387669980927e+260 | -1.7957725351354018e+257 |
Compiled 10 to 13 computations (-30% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.270379833270897e+201 | 1.6962858121561538e+224 |
| 0.0ms | 0.6559063124974751 | 5.895744110332073 |
| 0.0ms | -2792.5781105727438 | -4.690828853091819 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6559063124974751 | 5.895744110332073 |
| 0.0ms | -2792.5781105727438 | -4.690828853091819 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6559063124974751 | 5.895744110332073 |
| 0.0ms | -4.690828853091819 | -3.2850559070966985e-6 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
| 40× | *-commutative-binary64-*.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | +-commutative-binary64-+.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
| 18× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 453 |
| 1 | 82 | 453 |
| 2 | 107 | 453 |
| 3 | 133 | 453 |
| 4 | 141 | 453 |
| 5 | 143 | 453 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))) |
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (*.f64 y z) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (*.f64 z y) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))) |
(if (<=.f64 (*.f64 z y) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z))))) |
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (*.f64 z y) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (*.f64 z y) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)))) |
(*.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 |
| 18 194× | lower-fma.f64 |
| 18 194× | lower-fma.f32 |
| 14 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 446 |
| 1 | 136 | 416 |
| 2 | 296 | 416 |
| 3 | 488 | 416 |
| 4 | 2008 | 416 |
| 5 | 5035 | 416 |
| 6 | 6541 | 416 |
| 7 | 7282 | 416 |
| 8 | 7487 | 416 |
| 9 | 7593 | 416 |
| 10 | 7673 | 416 |
| 0 | 8014 | 416 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 32 | 15 |
| 2 | 192 | 15 |
| 3 | 1532 | 15 |
| 0 | 9726 | 13 |
| 0 | 36 | 167 |
| 0 | 52 | 162 |
| 1 | 216 | 132 |
| 2 | 1255 | 123 |
| 0 | 8339 | 119 |
| 0 | 253 | 4362 |
| 1 | 889 | 3924 |
| 2 | 3123 | 3776 |
| 0 | 8231 | 3668 |
| 0 | 233 | 2616 |
| 1 | 833 | 2432 |
| 2 | 3079 | 2288 |
| 0 | 8367 | 2210 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 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 406 to 264 computations (35% saved)
(negabs x)
Compiled 690 to 294 computations (57.4% saved)
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