
Time bar (total: 9.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 586.0ms | 8 256× | 0 | valid |
ival-sub: 109.0ms (48.3% of total)ival-mult: 104.0ms (46% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.2% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 9 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | n*o | 9 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 0 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 0 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-sub: 7.0ms (47.7% of total)ival-mult: 6.0ms (40.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 608× | unsub-neg |
| 1 232× | lower-fma.f64 |
| 1 232× | lower-fma.f32 |
| 788× | distribute-lft-in |
| 690× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 105 | 82 |
| 2 | 285 | 81 |
| 3 | 1174 | 81 |
| 4 | 2720 | 81 |
| 5 | 4111 | 81 |
| 6 | 4516 | 81 |
| 7 | 4710 | 81 |
| 8 | 4796 | 81 |
| 9 | 4828 | 81 |
| 10 | 4879 | 81 |
| 11 | 4879 | 81 |
| 12 | 4879 | 81 |
| 13 | 4977 | 81 |
| 14 | 5005 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 23 | 9 |
| 2 | 52 | 9 |
| 3 | 153 | 9 |
| 4 | 442 | 9 |
| 5 | 939 | 9 |
| 6 | 1327 | 9 |
| 7 | 1625 | 9 |
| 8 | 1658 | 9 |
| 9 | 1658 | 9 |
| 0 | 1658 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
(negabs x)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 1 232× | lower-fma.f64 |
| 1 232× | lower-fma.f32 |
| 496× | lower-*.f32 |
| 492× | lower-*.f64 |
| 440× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 23 | 28 |
| 2 | 52 | 28 |
| 3 | 153 | 28 |
| 4 | 442 | 28 |
| 5 | 939 | 28 |
| 6 | 1327 | 28 |
| 7 | 1625 | 28 |
| 8 | 1658 | 28 |
| 9 | 1658 | 28 |
| 0 | 1658 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 z (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 2.181462809310893 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 23.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-mult: 8.0ms (70.2% of total)ival-sub: 3.0ms (26.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* z (- 1 y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* x (- 1 (* (- 1 y) z))) |
| 1.0ms | x | @ | 0 | (* x (- 1 (* (- 1 y) z))) |
| 1.0ms | z | @ | -inf | (- 1 (* (- 1 y) z)) |
| 0.0ms | y | @ | -inf | (- 1 (* (- 1 y) z)) |
| 0.0ms | y | @ | inf | (- 1 (* (- 1 y) z)) |
| 1× | egg-herbie |
| 7 140× | lower-fma.f64 |
| 7 140× | lower-fma.f32 |
| 2 672× | lower-*.f64 |
| 2 672× | lower-*.f32 |
| 1 336× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 613 |
| 1 | 234 | 592 |
| 2 | 630 | 592 |
| 3 | 1394 | 592 |
| 4 | 4056 | 592 |
| 5 | 6304 | 592 |
| 6 | 7507 | 592 |
| 0 | 8012 | 544 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
z |
(+ z (* -1 (* y z))) |
(+ z (* -1 (* y z))) |
(+ z (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* y (+ (* -1 z) (/ z y))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 (* y z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 z x)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* y z)) |
(*.f64 z (*.f64 y x)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* y z)) |
(*.f64 z (*.f64 y x)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* z (- y 1))) |
(*.f64 z (-.f64 (*.f64 y x) x)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 z (-.f64 (*.f64 y x) x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
z |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 4 326× | lower-fma.f64 |
| 4 326× | lower-fma.f32 |
| 3 522× | lower-/.f64 |
| 3 522× | lower-/.f32 |
| 3 346× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 328 | 24 |
| 3 | 3538 | 24 |
| 0 | 9414 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z)) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 z (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z))) |
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) z) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) z #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 9 binary64)))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z)))))) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
Compiled 14 810 to 1 729 computations (88.3% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 9 | 539 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 9 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| ▶ | 96.6% | (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
| 71.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| 58.8% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) | |
| ▶ | 64.1% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ▶ | 36.5% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 39.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| 64.0% | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) | |
| 38.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 178 to 108 computations (39.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 z (+.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 1 376× | lower-fma.f32 |
| 1 372× | lower-fma.f64 |
| 640× | lower-*.f32 |
| 628× | lower-*.f64 |
| 384× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 120 |
| 0 | 33 | 120 |
| 1 | 66 | 120 |
| 2 | 122 | 120 |
| 3 | 248 | 120 |
| 4 | 486 | 120 |
| 5 | 882 | 120 |
| 6 | 1258 | 120 |
| 7 | 1513 | 120 |
| 8 | 1650 | 120 |
| 9 | 1728 | 120 |
| 10 | 1748 | 120 |
| 11 | 1754 | 120 |
| 12 | 1763 | 120 |
| 13 | 1769 | 120 |
| 0 | 1769 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
z |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
(-.f64 (*.f64 y z) z) |
z |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 z (+.f64 y #s(literal -1 binary64))) | |
| accuracy | 2.177556559310893 | (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 2.181462809310893 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| accuracy | 39.679623613919176 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 2.181462809310893 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 23.759278906767914 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 2.181462809310893 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| accuracy | 39.06618113249378 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 1.597544430233825 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 39.0ms | 256× | 0 | valid |
Compiled 104 to 20 computations (80.8% saved)
ival-mult: 14.0ms (56.4% of total)ival-add: 7.0ms (28.2% of total)ival-sub: 3.0ms (12.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (* x z))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (patch (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y #s(literal -1 binary64))) (patch (*.f64 z (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (+ (* (+ y -1) (* z x)) x) |
| 2.0ms | x | @ | 0 | (+ (* (+ y -1) (* z x)) x) |
| 0.0ms | x | @ | inf | (+ (* (+ y -1) (* z x)) x) |
| 0.0ms | z | @ | inf | (+ (* (+ y -1) (* z x)) x) |
| 0.0ms | y | @ | 0 | (+ (* (+ y -1) (* z x)) x) |
| 1× | egg-herbie |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 3 188× | lower-*.f64 |
| 3 188× | lower-*.f32 |
| 1 976× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2712 |
| 1 | 326 | 2257 |
| 2 | 953 | 2257 |
| 3 | 1987 | 2257 |
| 4 | 5097 | 2257 |
| 5 | 7590 | 2257 |
| 0 | 8162 | 2053 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
| Outputs |
|---|
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
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(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
| 8 896× | lower-fma.f32 |
| 8 892× | lower-fma.f64 |
| 5 564× | lower-*.f32 |
| 5 552× | lower-*.f64 |
| 3 918× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 101 |
| 0 | 33 | 101 |
| 1 | 134 | 101 |
| 2 | 825 | 101 |
| 0 | 9034 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(+.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x) |
(+.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x (fma.f64 y z (neg.f64 z)))) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x)))) |
(+.f64 (*.f64 z (*.f64 x y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 z (*.f64 x y)) (fma.f64 z (neg.f64 x) x)) |
(+.f64 (*.f64 y (*.f64 z x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(+.f64 (*.f64 y (*.f64 z x)) (fma.f64 z (neg.f64 x) x)) |
(+.f64 (*.f64 x (neg.f64 z)) (fma.f64 z (*.f64 x y) x)) |
(+.f64 (*.f64 x (neg.f64 z)) (fma.f64 y (*.f64 z x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(+.f64 (+.f64 x (*.f64 z (*.f64 x y))) (*.f64 x (neg.f64 z))) |
(+.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 x (neg.f64 z))) |
(+.f64 (+.f64 x (*.f64 x (neg.f64 z))) (*.f64 z (*.f64 x y))) |
(+.f64 (+.f64 x (*.f64 x (neg.f64 z))) (*.f64 y (*.f64 z x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x (fma.f64 y z (neg.f64 z)))) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))) (/.f64 (*.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x (fma.f64 y z (neg.f64 z)))) (-.f64 x (*.f64 x (fma.f64 y z (neg.f64 z)))))) |
(fma.f64 y (*.f64 z x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 y (*.f64 z x) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (fma.f64 z (*.f64 x y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) x) |
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (neg.f64 x) (fma.f64 z (*.f64 x y) x)) |
(fma.f64 z (neg.f64 x) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 z (*.f64 x y) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 z (*.f64 x y) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 z (*.f64 x #s(literal -1 binary64)) (fma.f64 z (*.f64 x y) x)) |
(fma.f64 z (*.f64 x #s(literal -1 binary64)) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 z (*.f64 y x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 z (*.f64 y x) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) x) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 x (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 x (*.f64 y z) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 x (fma.f64 y z (neg.f64 z)) x) |
(fma.f64 x (fma.f64 y z (neg.f64 z)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 y z (neg.f64 z)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (neg.f64 z) (fma.f64 z (*.f64 x y) x)) |
(fma.f64 x (neg.f64 z) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (*.f64 z x) y (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 (*.f64 z x) y (fma.f64 z (neg.f64 x) x)) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (fma.f64 z (*.f64 x y) x)) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z))) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x)) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 (*.f64 y z) x (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 (*.f64 y z) x (fma.f64 z (neg.f64 x) x)) |
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(fma.f64 (fma.f64 y z (neg.f64 z)) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y z (neg.f64 z)) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x (fma.f64 y z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x)))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 z x)) x) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 z x)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 z x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 z) x (fma.f64 z (*.f64 x y) x)) |
(fma.f64 (neg.f64 z) x (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)) x) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x) |
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 x) z (fma.f64 z (*.f64 x y) x)) |
(fma.f64 (neg.f64 x) z (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 z (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 z (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 z (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 x #s(literal 1 binary64))) |
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(fma.f64 y z (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 y z)) |
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 y (neg.f64 z)))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (neg.f64 z) (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (neg.f64 y) (neg.f64 z))) |
(fma.f64 z y (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 y z)) |
(fma.f64 z #s(literal -1 binary64) (neg.f64 (*.f64 y (neg.f64 z)))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (neg.f64 y) (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (neg.f64 (*.f64 y (neg.f64 z)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (neg.f64 z) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (neg.f64 y) (neg.f64 z))) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 (neg.f64 y) (neg.f64 z) (neg.f64 z)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y z)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 z)))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (neg.f64 y) (neg.f64 z)) |
(neg.f64 (fma.f64 y (neg.f64 z) z)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z)))) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z (neg.f64 z)) (fma.f64 y z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z))))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 z) z) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (fma.f64 y (neg.f64 z) z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (fma.f64 y z (neg.f64 z))) (*.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 z) z))))) |
(/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (fma.f64 y (neg.f64 z) z))) (+.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 z) z))) |
(/.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (fma.f64 y z z)) (fma.f64 y z z)) |
(/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) z) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (fma.f64 y z z))) (neg.f64 (fma.f64 y z z))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z)) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) z)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 z (neg.f64 (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 z z (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (neg.f64 z) (*.f64 y z))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (neg.f64 z) (*.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) z)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 z)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 z)) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 z)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 z)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) z) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) z) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) z) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (fma.f64 y z z)) #s(literal 1 binary64)) (fma.f64 y z z)) |
(/.f64 (*.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 z) z)) |
(*.f64 (+.f64 y #s(literal -1 binary64)) z) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
(*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y z (neg.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(*.f64 (fma.f64 y (neg.f64 z) z) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y z (neg.f64 z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) z)) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 z))) |
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z)))))) |
(*.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (fma.f64 y z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y z z))) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
Compiled 21 489 to 1 494 computations (93% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 140 | 3 | 1 143 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 143 | 9 | 1 152 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.5% | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| ▶ | 73.0% | (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
| ▶ | 64.1% | (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
| 71.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| ▶ | 58.8% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| ✓ | 36.5% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 27.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
| ✓ | 39.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ▶ | 38.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 149 to 85 computations (43% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 (*.f64 z y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* z (+ y -1)) (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (* z (+ y -1)) (*.f64 z y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
| 1 648× | lower-fma.f32 |
| 1 644× | lower-fma.f64 |
| 784× | lower-*.f32 |
| 774× | lower-*.f64 |
| 572× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 155 |
| 0 | 38 | 155 |
| 1 | 73 | 155 |
| 2 | 117 | 155 |
| 3 | 209 | 155 |
| 4 | 551 | 155 |
| 5 | 947 | 155 |
| 6 | 1315 | 155 |
| 7 | 1678 | 155 |
| 8 | 1976 | 155 |
| 9 | 2189 | 155 |
| 10 | 2221 | 155 |
| 11 | 2233 | 155 |
| 12 | 2253 | 155 |
| 13 | 2267 | 155 |
| 0 | 2267 | 150 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
#s(approx (* z (+ y -1)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* z (+ y -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
(-.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
#s(approx (* z (+ y -1)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
(fma.f64 x #s(approx (* z (+ y -1)) (neg.f64 z)) x) |
#s(approx (* z (+ y -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
(-.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 z y) z) | |
| accuracy | 2.181462809310893 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) | |
| accuracy | 24.465811956165155 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 5.296211688890706 | (*.f64 z (*.f64 y x)) | |
| accuracy | 38.48529008543986 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 2.177556559310893 | (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) | |
| accuracy | 31.366113800415576 | #s(approx (* z (+ y -1)) (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 2.181462809310893 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) | |
| accuracy | 23.759278906767914 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) | |
| accuracy | 33.93722287082616 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 2.177556559310893 | (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) | |
| accuracy | 32.04869610797456 | #s(approx (* z (+ y -1)) (*.f64 z y)) |
| 55.0ms | 256× | 0 | valid |
Compiled 110 to 21 computations (80.9% saved)
ival-add: 24.0ms (58.8% of total)ival-mult: 10.0ms (24.5% of total)ival-sub: 4.0ms (9.8% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (+ y -1)) (neg.f64 z)) (patch #s(approx (* z (+ y -1)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (patch (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor -inf z) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (* z (+ y -1)) (*.f64 z y)) (patch #s(approx (* z (+ y -1)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (* z (- 1 y)))) (taylor -inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* z (* y x)) |
| 0.0ms | y | @ | inf | (* z (* y x)) |
| 0.0ms | z | @ | inf | (* z (* y x)) |
| 0.0ms | z | @ | -inf | (* z (* y x)) |
| 0.0ms | x | @ | inf | (* z (* y x)) |
| 1× | egg-herbie |
| 8 760× | lower-fma.f64 |
| 8 760× | lower-fma.f32 |
| 2 758× | lower-*.f64 |
| 2 758× | lower-*.f32 |
| 1 510× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 2516 |
| 1 | 331 | 2511 |
| 2 | 934 | 2511 |
| 3 | 2115 | 2511 |
| 4 | 5491 | 2511 |
| 5 | 7732 | 2511 |
| 0 | 8173 | 2325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(+ (* -1 z) (* y z)) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 z) |
(- (* y z) z) |
(- (* y z) z) |
(- (* y z) z) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
| Outputs |
|---|
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(+ (* -1 z) (* y z)) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 z) |
(neg.f64 z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y (+ z (* -1 (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(-.f64 (*.f64 z y) z) |
| 9 008× | lower-fma.f32 |
| 9 004× | lower-fma.f64 |
| 5 050× | lower-*.f32 |
| 5 040× | lower-*.f64 |
| 3 456× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 137 |
| 0 | 38 | 137 |
| 1 | 148 | 137 |
| 2 | 1004 | 137 |
| 0 | 8594 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
#s(approx (* z (+ y -1)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* z (+ y -1)) (neg.f64 z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
(-.f64 (*.f64 z y) z) |
| Outputs |
|---|
(+.f64 x (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x)) |
(+.f64 (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x) x) |
(+.f64 (/.f64 (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 x x))) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 x x))) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x))) (/.f64 (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) (*.f64 x x))) (-.f64 x (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x)))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(fma.f64 x #s(approx (* z (+ y -1)) (*.f64 z y)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x)) |
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(/.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) z)) (*.f64 z (*.f64 z (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) z)) (fma.f64 z y z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))) (fma.f64 z y (neg.f64 z))))) (neg.f64 (neg.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (fma.f64 y y #s(literal -1 binary64)))))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) z))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z)) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) z)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 z (neg.f64 (*.f64 z z)) (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y)))))) (fma.f64 z z (-.f64 (*.f64 y (*.f64 z (*.f64 z y))) (*.f64 (neg.f64 z) (*.f64 z y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (*.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (*.f64 z z) (fma.f64 z y z)) (*.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) (/.f64 (*.f64 z z) (fma.f64 z y z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 z (*.f64 z y)))) (-.f64 (neg.f64 z) (*.f64 z y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y (*.f64 z (*.f64 z y))))) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (*.f64 z z) (fma.f64 z y z)))) (+.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 z y))) (fma.f64 z y z)) (/.f64 (*.f64 z z) (fma.f64 z y z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 z))) #s(literal -1 binary64)) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 z) z)) |
(*.f64 (+.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(*.f64 (fma.f64 y (neg.f64 z) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) z)) |
(*.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))) (fma.f64 z y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))))) |
(*.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))) (fma.f64 z y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (fma.f64 z (*.f64 y y) z)) (*.f64 z (*.f64 y (neg.f64 z)))))) |
(*.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))) (*.f64 (fma.f64 z y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 z))) |
(*.f64 (fma.f64 z y (neg.f64 z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) z)) |
(*.f64 (*.f64 z (*.f64 z (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z y z))) |
(*.f64 (fma.f64 z y z) (*.f64 (fma.f64 z y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 z y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 z))) |
(*.f64 (neg.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z))) (fma.f64 z y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (fma.f64 z (*.f64 y y) (fma.f64 z y z)))))) |
(*.f64 (neg.f64 (*.f64 z (*.f64 z (fma.f64 y y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) z))) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 z y z) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 z y (neg.f64 z)) z)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
Compiled 11 836 to 1 013 computations (91.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 1 | 798 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 797 | 10 | 807 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.5% | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| ✓ | 73.0% | (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
| ✓ | 64.1% | (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
| ▶ | 71.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
| ✓ | 58.8% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| ✓ | 36.5% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 27.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
| ✓ | 39.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ▶ | 39.7% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| ✓ | 38.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 97 to 56 computations (42.3% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 1216 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) y) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| 2 112× | lower-fma.f32 |
| 2 110× | lower-fma.f64 |
| 752× | lower-*.f32 |
| 748× | lower-*.f64 |
| 600× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 0 | 22 | 57 |
| 1 | 48 | 55 |
| 2 | 101 | 55 |
| 3 | 255 | 55 |
| 4 | 551 | 55 |
| 5 | 980 | 55 |
| 6 | 1623 | 55 |
| 7 | 2391 | 55 |
| 8 | 2714 | 55 |
| 9 | 2748 | 55 |
| 10 | 2750 | 55 |
| 11 | 2753 | 55 |
| 12 | 2754 | 55 |
| 13 | 2754 | 55 |
| 0 | 2754 | 53 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
z |
(+.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 x z))) |
(*.f64 (*.f64 z x) y) |
(*.f64 y (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 x (fma.f64 y z z) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
z |
(+.f64 #s(literal 1 binary64) y) |
y |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 0.5230951815496944 | (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 1.8417453439256581 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 4.450616378846453 | (*.f64 (*.f64 z x) y) | |
| accuracy | 38.48529008543986 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| 36.0ms | 256× | 0 | valid |
Compiled 56 to 17 computations (69.6% saved)
ival-sub: 10.0ms (43.8% of total)ival-mult: 7.0ms (30.7% of total)ival-div: 3.0ms (13.1% of total)ival-add: 2.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z x) y) (patch (*.f64 (*.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ x (/ 1 (+ (* z (+ 1 y)) 1))) |
| 1.0ms | y | @ | 0 | (/ 1 (+ (* z (+ 1 y)) 1)) |
| 0.0ms | y | @ | inf | (/ 1 (+ (* z (+ 1 y)) 1)) |
| 0.0ms | z | @ | -inf | (/ x (/ 1 (+ (* z (+ 1 y)) 1))) |
| 0.0ms | x | @ | inf | (/ x (/ 1 (+ (* z (+ 1 y)) 1))) |
| 1× | egg-herbie |
| 12 154× | lower-fma.f64 |
| 12 154× | lower-fma.f32 |
| 4 224× | lower-*.f64 |
| 4 224× | lower-*.f32 |
| 3 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1679 |
| 1 | 715 | 1639 |
| 2 | 2232 | 1558 |
| 3 | 7774 | 1558 |
| 0 | 8271 | 1455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* x (* z (+ 1 y))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* x (+ 1 z)) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
1 |
(+ 1 (* -1 (* z (+ 1 y)))) |
(+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y)))) |
(+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y)))) |
(/ 1 (* z (+ 1 y))) |
(/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z) |
(/ 1 (* z (+ 1 y))) |
(* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(/ 1 (+ 1 z)) |
(+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z))) |
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(/ 1 (* y z)) |
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y) |
(/ 1 (* y z)) |
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
1 |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(* z (+ 1 y)) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 y)) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+ 1 z) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(* y z) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (* z (- y 1))) |
(*.f64 z (-.f64 (*.f64 x y) x)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 z (-.f64 (*.f64 x y) x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
x |
(+ x (* x (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(+ x (* x (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(+ x (* x (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (* z (+ 1 y))) |
(*.f64 x (fma.f64 z y z)) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(fma.f64 x (fma.f64 z y z) x) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(fma.f64 x (fma.f64 z y z) x) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (* z (+ 1 y))) |
(*.f64 x (fma.f64 z y z)) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(fma.f64 x (fma.f64 z y z) x) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(fma.f64 x (fma.f64 z y z) x) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 z)) |
(fma.f64 x z x) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(fma.f64 x (fma.f64 z y z) x) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(fma.f64 x (fma.f64 z y z) x) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(*.f64 x (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* z (+ 1 y)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y)))) |
(fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (fma.f64 z y z))) #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y)))) |
(fma.f64 z (-.f64 (fma.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z y z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(/ 1 (* z (+ 1 y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y z) (fma.f64 z y z)))) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y z) (-.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z y z) (fma.f64 z y z))))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z y z) (fma.f64 z y z)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z y z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))))))) z) |
(/ 1 (* z (+ 1 y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y z) (fma.f64 z y z)))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y z) (-.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z y z) (fma.f64 z y z))))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z y z) (-.f64 #s(literal -1 binary64) y)))))) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (fma.f64 z y z)))) |
(/ 1 (+ 1 z)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) |
(+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z))) |
(fma.f64 z (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(fma.f64 y (fma.f64 z (/.f64 (*.f64 z y) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z (*.f64 z y))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (*.f64 y y))) |
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y) |
(+.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z y)) #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z y)) #s(literal -1 binary64))) y))) y) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))) y) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(+.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z y)) #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) y)) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 (* z (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 (* z (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (+ z (* y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 (+ z (* y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(+ 1 (+ z (* y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z y z)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 6 552× | lower-fma.f32 |
| 6 550× | lower-fma.f64 |
| 4 680× | lower-*.f32 |
| 4 676× | lower-*.f64 |
| 3 792× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 50 |
| 0 | 22 | 50 |
| 1 | 100 | 48 |
| 2 | 716 | 48 |
| 0 | 8375 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 y z) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 y z)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 x y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y z) x) |
(*.f64 (*.f64 x y) z) |
(/.f64 z (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x z) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(*.f64 x z) |
(*.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 (*.f64 x z) #s(literal 1 binary64)) |
(+.f64 x (*.f64 x (fma.f64 y z z))) |
(+.f64 x (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)))) |
(+.f64 x (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x))) |
(+.f64 (*.f64 x z) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(+.f64 (*.f64 x z) (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x (fma.f64 y z z)) x) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y z))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z))) x) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) (*.f64 x (*.f64 y z))) |
(+.f64 (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y z z) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y z z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y z z)))) (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y z z)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (fma.f64 y z z))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x))) |
(fma.f64 x z (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(fma.f64 x z (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) |
(fma.f64 x (fma.f64 y z z) x) |
(fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 y z z))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z z)) x) |
(fma.f64 z x (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(fma.f64 z x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) |
(fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) x) x) |
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x z) x) |
(fma.f64 (fma.f64 y z z) x x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (fma.f64 y z z))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (fma.f64 y z z))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (neg.f64 (fma.f64 y z z)) x) |
(fma.f64 (neg.f64 (fma.f64 y z z)) (neg.f64 x) x) |
(fma.f64 (*.f64 x (fma.f64 y z z)) #s(literal 1 binary64) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) z) x (*.f64 x (*.f64 y z))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z x) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y z z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y z z) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y z z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y z z) (+.f64 z (fma.f64 y z #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (fma.f64 y z #s(literal -1 binary64))) (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 y z z) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y z z))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y z z)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 y y) y) (*.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 y y) y))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 y y) y) (-.f64 (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 y y) y))))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
Compiled 15 085 to 1 884 computations (87.5% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 688 | 2 | 690 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 689 | 11 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.5% | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| ✓ | 73.0% | (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
| ✓ | 64.1% | (fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
| 36.4% | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) | |
| ✓ | 58.8% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| ✓ | 36.5% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 27.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
| ✓ | 39.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| 41.1% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) | |
| ✓ | 39.7% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| ✓ | 38.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 215 to 95 computations (55.8% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
7 calls:
| 29.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
| 97.5% | 1 | y |
| 97.5% | 1 | z |
| 97.5% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 97.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 97.5% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 97.5% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
| Outputs |
|---|
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
7 calls:
| 49.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 96.6% | 1 | x |
| 96.6% | 1 | y |
| 96.6% | 1 | z |
| 98.5% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 98.5% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 96.6% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
7 calls:
| 168.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 3 | y |
| 95.3% | 3 | z |
| 75.0% | 2 | x |
| 85.7% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 95.4% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 97.0% | 4 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 97.0% | 4 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
| Outputs |
|---|
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) |
3 calls:
| 49.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 4.0ms | y |
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 3 | y |
| 83.0% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 83.0% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
3 calls:
| 4.0ms | z |
| 3.0ms | y |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 3 | z |
| 87.8% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 87.8% | 3 | y |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
3 calls:
| 28.0ms | y |
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 87.2% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 87.2% | 3 | y |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* z (+ y -1)) (neg.f64 z)) x x) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
7 calls:
| 18.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 3.0ms | x |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | z |
| 64.1% | 1 | x |
| 64.1% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 64.1% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 64.1% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 67.0% | 2 | (-.f64 #s(literal 1 binary64) y) |
| 67.0% | 2 | y |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | y |
| 67.0% | 2 | (-.f64 #s(literal 1 binary64) y) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) |
7 calls:
| 45.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 62.6% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 62.6% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 41.1% | 1 | x |
| 62.8% | 3 | z |
| 46.3% | 3 | y |
| 41.1% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
| Outputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
5 calls:
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 1 | y |
| 41.1% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 41.1% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 41.1% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 41.1% | 1 | z |
Compiled 38 to 27 computations (28.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
7 calls:
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | z |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.2% | 1 | x |
| 39.2% | 1 | z |
| 39.2% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 39.2% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 39.2% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 39.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 39.2% | 1 | y |
Compiled 48 to 35 computations (27.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.2478977919907734e+300 | 2.1205552850391294e+306 |
Compiled 15 to 15 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.2478977919907734e+300 | 2.1205552850391294e+306 |
| 0.0ms | 10247646.266084703 | 55912331.992962964 |
| 0.0ms | -23869685566449.777 | -16.068876051572655 |
Compiled 15 to 15 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0005601324711536484 | 6963.453559250493 |
| 12.0ms | -1.2713422085908682e+20 | -252345010879.4485 |
| 13.0ms | 288× | 0 | valid |
Compiled 393 to 248 computations (36.9% saved)
ival-mult: 4.0ms (61.1% of total)ival-sub: 3.0ms (45.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.525620103271052e+36 | 3.9872058751780334e+39 |
| 13.0ms | -1.5861668857639826e+43 | -1.6033092651458878e+32 |
| 22.0ms | 288× | 0 | valid |
Compiled 375 to 248 computations (33.9% saved)
ival-mult: 13.0ms (81.3% of total)ival-sub: 3.0ms (18.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.525620103271052e+36 | 3.9872058751780334e+39 |
| 1.0ms | -1.5861668857639826e+43 | -1.6033092651458878e+32 |
Compiled 375 to 248 computations (33.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0005601324711536484 | 6963.453559250493 |
Compiled 186 to 122 computations (34.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -32073.877261993322 | -6962.453559250493 |
| 4.0ms | 96× | 0 | valid |
Compiled 129 to 81 computations (37.2% saved)
ival-mult: 1.0ms (54.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 161.09829669795488 | 9537180.783011507 |
| 33.0ms | -4.405499302086505 | -0.00012658549288967417 |
| 12.0ms | 256× | 0 | valid |
Compiled 303 to 206 computations (32% saved)
ival-mult: 3.0ms (49.7% of total)ival-sub: 2.0ms (33.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 415 |
| 1 | 104 | 415 |
| 2 | 119 | 415 |
| 3 | 126 | 415 |
| 4 | 130 | 415 |
| 5 | 131 | 415 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -20000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 20000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))))) |
(if (<=.f64 y #s(literal -260000000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x))) |
(if (<=.f64 y #s(literal -1649999999999999929798796706937044992 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal 8400000000000000179244610834139185152 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal -1649999999999999929798796706937044992 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (if (<=.f64 y #s(literal 8400000000000000179244610834139185152 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -7000 binary64)) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x)))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) (if (<=.f64 z #s(literal 165 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -20000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 20000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -20000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 20000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 y z)) x x) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x)))))) |
(if (<=.f64 y #s(literal -260000000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 z y)) x x))) |
(if (<=.f64 y #s(literal -260000000000 binary64)) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 y z)) x x) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* z (+ y -1)) (*.f64 y z)) x x))) |
(if (<=.f64 y #s(literal -1649999999999999929798796706937044992 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal 8400000000000000179244610834139185152 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal -1649999999999999929798796706937044992 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) (if (<=.f64 y #s(literal 8400000000000000179244610834139185152 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal -1649999999999999929798796706937044992 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (if (<=.f64 y #s(literal 8400000000000000179244610834139185152 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -7000 binary64)) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x)))) |
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))) (if (<=.f64 z #s(literal 165 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- 1 z) (neg.f64 z)))))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| 12 154× | lower-fma.f64 |
| 12 154× | lower-fma.f32 |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 9 008× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1679 |
| 1 | 715 | 1639 |
| 2 | 2232 | 1558 |
| 3 | 7774 | 1558 |
| 0 | 8271 | 1455 |
| 0 | 27 | 137 |
| 0 | 38 | 137 |
| 1 | 148 | 137 |
| 2 | 1004 | 137 |
| 0 | 8594 | 132 |
| 0 | 74 | 613 |
| 1 | 234 | 592 |
| 2 | 630 | 592 |
| 3 | 1394 | 592 |
| 4 | 4056 | 592 |
| 5 | 6304 | 592 |
| 6 | 7507 | 592 |
| 0 | 8012 | 544 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 328 | 24 |
| 3 | 3538 | 24 |
| 0 | 9414 | 22 |
| 0 | 100 | 2712 |
| 1 | 326 | 2257 |
| 2 | 953 | 2257 |
| 3 | 1987 | 2257 |
| 4 | 5097 | 2257 |
| 5 | 7590 | 2257 |
| 0 | 8162 | 2053 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 410 to 173 computations (57.8% saved)
(negabs x)
Compiled 652 to 206 computations (68.4% saved)
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