
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 560.0ms | 8 256× | 0 | valid |
ival-div: 146.0ms (43.1% of total)ival-sub: 105.0ms (31% of total)ival-mult: 73.0ms (21.6% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 0 | - | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) z) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 y z) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 t (-.f64 #s(literal 1 binary64) z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | n*o | 11 | 0 |
*.f64 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 0 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 0 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 512× | 0 | valid |
Compiled 91 to 34 computations (62.6% saved)
ival-div: 7.0ms (43.6% of total)ival-sub: 5.0ms (31.1% of total)ival-mult: 3.0ms (18.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 442× | unsub-neg |
| 1 216× | distribute-rgt-in |
| 1 150× | distribute-lft-in |
| 774× | times-frac |
| 762× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 166 |
| 1 | 127 | 160 |
| 2 | 324 | 155 |
| 3 | 1210 | 154 |
| 4 | 3485 | 154 |
| 5 | 5322 | 154 |
| 6 | 5965 | 154 |
| 7 | 6041 | 154 |
| 8 | 6078 | 154 |
| 9 | 6108 | 154 |
| 10 | 6687 | 154 |
| 11 | 6831 | 154 |
| 12 | 6839 | 154 |
| 13 | 6839 | 154 |
| 14 | 6839 | 154 |
| 15 | 7147 | 154 |
| 16 | 7692 | 154 |
| 17 | 7840 | 154 |
| 18 | 7844 | 154 |
| 19 | 7860 | 154 |
| 20 | 7876 | 154 |
| 21 | 7876 | 154 |
| 22 | 7876 | 154 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 39 | 11 |
| 3 | 79 | 11 |
| 4 | 155 | 11 |
| 5 | 294 | 11 |
| 6 | 657 | 11 |
| 7 | 1354 | 11 |
| 8 | 1821 | 11 |
| 9 | 1934 | 11 |
| 10 | 1955 | 11 |
| 11 | 1971 | 11 |
| 12 | 1983 | 11 |
| 0 | 1983 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(negabs x)
Compiled 15 to 10 computations (33.3% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.9% | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 688× | lower-fma.f64 |
| 688× | lower-fma.f32 |
| 480× | lower-*.f32 |
| 478× | lower-*.f64 |
| 346× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 15 | 36 |
| 1 | 22 | 36 |
| 2 | 39 | 36 |
| 3 | 79 | 36 |
| 4 | 155 | 36 |
| 5 | 294 | 36 |
| 6 | 657 | 36 |
| 7 | 1354 | 36 |
| 8 | 1821 | 36 |
| 9 | 1934 | 36 |
| 10 | 1955 | 36 |
| 11 | 1971 | 36 |
| 12 | 1983 | 36 |
| 0 | 1983 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
x |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 y z) |
y |
z |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
x |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 y z) |
y |
z |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.0078125 | (/.f64 t (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 3.260376956300747 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 38 to 12 computations (68.4% saved)
ival-div: 4.0ms (50.9% of total)ival-sub: 2.0ms (25.5% of total)ival-mult: 1.0ms (12.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (patch (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 t (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 t (-.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>) () ()) |
| Outputs |
|---|
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t (* x z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) (taylor 0 z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) (taylor 0 z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y (* -1 t))) z) (taylor inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) (taylor inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) (taylor inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) (taylor inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- (* -1 y) t)) z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | (* x (- (/ y z) (/ t (- 1 z)))) |
| 6.0ms | x | @ | inf | (* x (- (/ y z) (/ t (- 1 z)))) |
| 1.0ms | x | @ | 0 | (* x (- (/ y z) (/ t (- 1 z)))) |
| 1.0ms | z | @ | -inf | (/ y z) |
| 1.0ms | y | @ | 0 | (* x (- (/ y z) (/ t (- 1 z)))) |
| 1× | egg-herbie |
| 10 790× | lower-fma.f64 |
| 10 790× | lower-fma.f32 |
| 3 714× | lower-*.f64 |
| 3 714× | lower-*.f32 |
| 2 034× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 1206 |
| 1 | 615 | 1158 |
| 2 | 1761 | 1126 |
| 3 | 5517 | 1114 |
| 0 | 8319 | 1097 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* x (- y (* -1 t))) z) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* x (- (* -1 y) t)) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(/ y z) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(/ y z) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (- (* -1 (* t z)) t))) z) |
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z) |
(/ (- y (* -1 t)) z) |
(/ (- (+ y (/ t z)) (* -1 t)) z) |
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z) |
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z) |
(* -1 (/ (- (* -1 y) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z)) |
(/ y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(* -1 (/ t (- 1 z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* -1 (/ t (- 1 z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 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) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
t |
(+ t (* t z)) |
(+ t (* z (- (* t z) (* -1 t)))) |
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t)))) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ t z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z) |
(* -1 (/ t z)) |
(* -1 (/ (+ t (/ t z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) 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)))) |
| Outputs |
|---|
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (/ (* t x) (- 1 z))) |
(/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) z (*.f64 t x))) z (*.f64 y x)) z) |
(/ (* x (- y (* -1 t))) z) |
(*.f64 (/.f64 (+.f64 t y) z) x) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (/.f64 x z) x) (*.f64 (+.f64 t y) x)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 t z) t) (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t))) z) |
(* -1 (/ (* x (- (* -1 y) t)) z)) |
(*.f64 (/.f64 (+.f64 t y) z) x) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) |
(/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) |
(/.f64 (fma.f64 (+.f64 t y) x (*.f64 t (/.f64 (+.f64 (/.f64 x z) x) z))) z) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/.f64 (fma.f64 (+.f64 t y) x (/.f64 (fma.f64 t (/.f64 (+.f64 (/.f64 x z) x) z) (*.f64 t x)) z)) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (/ (* t x) (- 1 z))) |
(/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (/ (* t x) (- 1 z))) |
(/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* -1 (/ t (- 1 z))) |
(/.f64 t (-.f64 z #s(literal 1 binary64))) |
(- (/ y z) (/ t (- 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(- (/ y z) (/ t (- 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(- (/ y z) (/ t (- 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* t z))) z) |
(/.f64 (fma.f64 (neg.f64 t) z y) z) |
(/ (+ y (* z (- (* -1 (* t z)) t))) z) |
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 t z t) y) z) |
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 t z t) z t)) z y) z) |
(/ (- y (* -1 t)) z) |
(/.f64 (+.f64 t y) z) |
(/ (- (+ y (/ t z)) (* -1 t)) z) |
(/.f64 (+.f64 (+.f64 (/.f64 t z) y) t) z) |
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) y) z) |
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) y) t) z) |
(* -1 (/ (- (* -1 y) t) z)) |
(/.f64 (+.f64 t y) z) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z)) |
(/.f64 (+.f64 (+.f64 (/.f64 t z) y) t) z) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z)) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) y) z) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z)) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) y) t) z) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (/ t (- 1 z))) |
(/.f64 t (-.f64 z #s(literal 1 binary64))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (/ t (- 1 z))) |
(/.f64 t (-.f64 z #s(literal 1 binary64))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(+ t (* t z)) |
(fma.f64 t z t) |
(+ t (* z (- (* t z) (* -1 t)))) |
(fma.f64 (fma.f64 t z t) z t) |
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t)))) |
(fma.f64 (fma.f64 (fma.f64 t z t) z t) z t) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(/ (+ (* -1 t) (* -1 (/ t z))) z) |
(/.f64 (+.f64 (/.f64 t z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) t) (neg.f64 z)) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(* -1 (/ (+ t (/ t z)) z)) |
(/.f64 (+.f64 (/.f64 t z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) t) (neg.f64 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) |
| 4 392× | lower-/.f32 |
| 4 388× | lower-/.f64 |
| 4 334× | lower-*.f32 |
| 4 332× | lower-*.f64 |
| 4 094× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 65 | 31 |
| 2 | 616 | 31 |
| 0 | 8968 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 y z) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) z)) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(*.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (*.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x))) (-.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))))) (-.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x) (-.f64 (*.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)) (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z)) (-.f64 (*.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x)) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) x)) (neg.f64 (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))))) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))))) (neg.f64 (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) x) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z))))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t))) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t))))) |
(/.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)))) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)) |
(fma.f64 x (/.f64 y z) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(+.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)) |
(+.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) z) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) (neg.f64 t))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 z y) (neg.f64 t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) (/.f64 z y)) (/.f64 (*.f64 y t) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) z)) (*.f64 z (neg.f64 t))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) t) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) |
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(+.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (neg.f64 (/.f64 (*.f64 t z) (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) |
(+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) t) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(*.f64 t (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (+.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(neg.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 t (+.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (+.f64 #s(literal -1 binary64) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) z)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 z) #s(literal 1 binary64)) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (*.f64 (*.f64 z z) z))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z))) |
(neg.f64 (+.f64 #s(literal -1 binary64) z)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
Compiled 9 448 to 1 146 computations (87.9% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 14 | 419 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 406 | 14 | 420 |
| Status | Accuracy | Program |
|---|---|---|
| 69.2% | (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) | |
| 33.3% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) | |
| 74.7% | (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) | |
| ▶ | 69.1% | (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
| 94.9% | (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) | |
| 66.8% | (*.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) | |
| ▶ | 94.9% | (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 64.3% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (fma.f64 (neg.f64 t) z y) z))) | |
| 75.3% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) | |
| ▶ | 60.2% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| ▶ | 55.9% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) |
| ▶ | 63.1% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
| 62.6% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) | |
| 46.6% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
Compiled 510 to 290 computations (43.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) | |
| cost-diff | 320 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) | |
| cost-diff | 448 | (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 t z t)) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) | |
| cost-diff | 320 | (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 t) z y) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (neg.f64 t) z y)) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) | |
| cost-diff | 320 | (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) |
| 6 760× | lower-fma.f32 |
| 6 752× | lower-fma.f64 |
| 3 270× | lower-*.f32 |
| 3 252× | lower-*.f64 |
| 2 318× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 263 |
| 0 | 65 | 259 |
| 1 | 124 | 256 |
| 2 | 273 | 243 |
| 3 | 731 | 241 |
| 4 | 2309 | 231 |
| 5 | 4764 | 231 |
| 0 | 8391 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
x |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) |
(*.f64 x (fma.f64 (neg.f64 t) z y)) |
x |
(fma.f64 (neg.f64 t) z y) |
(neg.f64 t) |
t |
z |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) |
(fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) |
(*.f64 x (fma.f64 t z t)) |
x |
(fma.f64 t z t) |
t |
z |
(neg.f64 z) |
(*.f64 y x) |
y |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
t |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
| Outputs |
|---|
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) x) |
x |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 (/.f64 y z) t) x)) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(*.f64 x (fma.f64 (neg.f64 t) z y)) |
(*.f64 (fma.f64 (neg.f64 t) z y) x) |
x |
(fma.f64 (neg.f64 t) z y) |
(neg.f64 t) |
t |
z |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 (/.f64 y z) (fma.f64 t z t)) x)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) |
(*.f64 (-.f64 (/.f64 y z) (fma.f64 t z t)) x) |
(fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) |
(*.f64 (fma.f64 (neg.f64 z) (fma.f64 t z t) y) x) |
(*.f64 x (fma.f64 t z t)) |
(*.f64 (fma.f64 t z t) x) |
x |
(fma.f64 t z t) |
t |
z |
(neg.f64 z) |
(*.f64 y x) |
y |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) t) z y) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) |
(fma.f64 (-.f64 (neg.f64 y) t) z y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
t |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19794548926032385 | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) | |
| accuracy | 1.0156139904222408 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) | |
| accuracy | 5.528336626397667 | (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) | |
| accuracy | 15.108064577867331 | (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| accuracy | 2.8899537396656005 | (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) | |
| accuracy | 2.93461842976061 | (*.f64 x (fma.f64 t z t)) | |
| accuracy | 8.59700245277431 | (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) | |
| accuracy | 24.51729452067372 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 2.92289967976061 | (*.f64 x (fma.f64 (neg.f64 t) z y)) | |
| accuracy | 6.830257306065748 | (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) | |
| accuracy | 20.0900167662033 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 3.260376956300747 | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) | |
| accuracy | 24.646223294425507 | #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.0078125 | (/.f64 t (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.18538840476030194 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| accuracy | 3.260376956300747 | (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 78.0ms | 256× | 0 | valid |
Compiled 244 to 36 computations (85.2% saved)
ival-div: 27.0ms (49.1% of total)ival-mult: 18.0ms (32.8% of total)ival-add: 4.0ms (7.3% of total)ival-sub: 3.0ms (5.5% of total)ival-neg: 2.0ms (3.6% 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 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) (patch #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) (patch (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (neg.f64 t) z y)) (patch (*.f64 x (fma.f64 (neg.f64 t) z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 t) z y) (patch (fma.f64 (neg.f64 t) z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) (patch (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) (patch (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 t z t)) (patch (*.f64 x (fma.f64 t z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) (patch (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 t (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 t (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (patch (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ t (- 1 z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 t (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ t (- 1 z)) (taylor -inf t) (#s(alt (/.f64 t (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 t (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ t (- 1 z)) (taylor -inf t) (#s(alt (/.f64 t (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 t (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | inf | (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) |
| 6.0ms | y | @ | 0 | (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) |
| 3.0ms | z | @ | -inf | (/ (* x (+ (* (neg t) z) y)) z) |
| 1.0ms | x | @ | 0 | (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) |
| 1.0ms | x | @ | 0 | (/ (* x (+ (* (neg t) z) y)) z) |
| 1× | egg-herbie |
| 14 122× | lower-fma.f64 |
| 14 122× | lower-fma.f32 |
| 4 960× | lower-*.f64 |
| 4 960× | lower-*.f32 |
| 2 664× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 8265 |
| 1 | 1701 | 7632 |
| 2 | 5262 | 7331 |
| 0 | 8949 | 7113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
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(* x (+ y (* -1 (* z (+ t (* t z)))))) |
(* x (+ y (* -1 (* z (+ t (* t z)))))) |
(* x (+ y (* -1 (* z (+ t (* t z)))))) |
(* x (+ y (* -1 (* z (+ t (* t z)))))) |
(* -1 (* x (+ (* -1 y) (* z (+ t (* t z)))))) |
(* -1 (* x (+ (* -1 y) (* z (+ t (* t z)))))) |
(* -1 (* x (+ (* -1 y) (* z (+ t (* t z)))))) |
(* -1 (* x (+ (* -1 y) (* z (+ t (* t z)))))) |
(* x y) |
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(+ (* -1 (* t (* x (* z (+ 1 z))))) (* x y)) |
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(* x y) |
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(+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) |
(+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) |
(* -1 (* t (* x (pow z 2)))) |
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(* (pow z 2) (+ (* -1 (* t x)) (+ (* -1 (/ (* t x) z)) (/ (* x y) (pow z 2))))) |
(* (pow z 2) (+ (* -1 (* t x)) (+ (* -1 (/ (* t x) z)) (/ (* x y) (pow z 2))))) |
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(* -1 (* x (* z (+ t (* t z))))) |
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(+ (* -1 (* x (* z (+ t (* t z))))) (* x y)) |
(+ (* -1 (* x (* z (+ t (* t z))))) (* x y)) |
(* x y) |
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(* y (+ x (* -1 (/ (* x (* z (+ t (* t z)))) y)))) |
(* y (+ x (* -1 (/ (* x (* z (+ t (* t z)))) y)))) |
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(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
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(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/ (* x y) z) |
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(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
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(* t x) |
(+ (* t x) (* t (* x z))) |
(+ (* t x) (* t (* x z))) |
(+ (* t x) (* t (* x z))) |
(* t (* x z)) |
(* z (+ (* t x) (/ (* t x) z))) |
(* z (+ (* t x) (/ (* t x) z))) |
(* z (+ (* t x) (/ (* t x) z))) |
(* t (* x z)) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y)))) (* -1 (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (* -1 (/ (* x y) z))) (/ (* x (+ (* -1 t) (* -1 y))) z)) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 2)))) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 3))))) (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) (pow z 2))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 3))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
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(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
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(+ y (* z (+ (* -1 t) (* -1 y)))) |
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(+ y (* z (+ (* -1 t) (* -1 y)))) |
(* z (+ (* -1 t) (* -1 y))) |
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(* z (+ (* -1 t) (+ (* -1 y) (/ y z)))) |
(* z (+ (* -1 t) (+ (* -1 y) (/ y z)))) |
(* -1 (* z (+ t y))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* t z)) |
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(+ (* -1 (* t z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(* y (- (+ 1 (* -1 (/ (* t z) y))) z)) |
(* y (- (+ 1 (* -1 (/ (* t z) y))) z)) |
(* y (- (+ 1 (* -1 (/ (* t z) y))) z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y)))) |
(* y (- 1 z)) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(* -1 (* t z)) |
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(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(* x y) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(* x (* z (+ (* -1 t) (* -1 y)))) |
(* z (+ (* x (+ (* -1 t) (* -1 y))) (/ (* x y) z))) |
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(* -1 (* x (* z (+ t y)))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
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(* -1 (* y (+ (* -1 (* x (- 1 z))) (/ (* t (* x z)) y)))) |
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(* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t))) |
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(* -1 (* t (* x z))) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
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(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
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(* x (+ (* -1 (* t z)) (* 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)))) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
t |
(+ t (* t z)) |
(+ t (* z (- (* t z) (* -1 t)))) |
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t)))) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ t z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z) |
(* -1 (/ t z)) |
(* -1 (/ (+ t (/ t z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ 1 z) |
(/ (+ 1 z) z) |
(/ (+ 1 (* z (+ 1 z))) z) |
(/ (+ 1 (* z (+ 1 (* z (+ 1 z))))) z) |
(/ -1 (pow z 2)) |
(* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) (+ 1 (/ 1 z))) (pow z 2)) |
(/ -1 (pow z 2)) |
(* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) (pow z 2)) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) z y) z) x) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 t z t) (neg.f64 z) y) z) x) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 z z z) t t)) z (*.f64 x y)) z) |
(/ (* x (- y (* -1 t))) z) |
(*.f64 (/.f64 (+.f64 t y) z) x) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/.f64 (fma.f64 (+.f64 t y) x (*.f64 (/.f64 x z) (+.f64 (/.f64 t z) t))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 t z) t) (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t))) z) |
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(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* x y) |
(*.f64 x y) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* x y) (* x (* z (+ (* -1 t) (* -1 y))))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (* z (+ (* -1 t) (* -1 y)))) |
(*.f64 (*.f64 (-.f64 (neg.f64 y) t) z) x) |
(* z (+ (* x (+ (* -1 t) (* -1 y))) (/ (* x y) z))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* z (+ (* x (+ (* -1 t) (* -1 y))) (/ (* x y) z))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* z (+ (* x (+ (* -1 t) (* -1 y))) (/ (* x y) z))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* -1 (* x (* z (+ t y)))) |
(*.f64 (*.f64 (-.f64 (neg.f64 y) t) z) x) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (+ t y))))) |
(*.f64 (*.f64 x (-.f64 (-.f64 (/.f64 y z) y) t)) z) |
(* -1 (* t (* x z))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* y (+ (* -1 (/ (* t (* x z)) y)) (* x (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* y (+ (* -1 (/ (* t (* x z)) y)) (* x (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* y (+ (* -1 (/ (* t (* x z)) y)) (* x (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* -1 (* y (+ (* -1 (* x (- 1 z))) (/ (* t (* x z)) y)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* x (- 1 z))) (/ (* t (* x z)) y)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* x (- 1 z))) (/ (* t (* x z)) y)))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 (*.f64 (*.f64 x z) t) y)) (neg.f64 y)) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(+ (* -1 (* t (* x z))) (* x (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* -1 (* t (* x z))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* -1 (* t (* x z))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z)))) |
(*.f64 x (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t)) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
(* x (+ (* -1 (* t z)) (* y (- 1 z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) x) |
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) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(/ t (- 1 z)) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
t |
(+ t (* t z)) |
(fma.f64 t z t) |
(+ t (* z (- (* t z) (* -1 t)))) |
(fma.f64 (fma.f64 t z t) z t) |
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t)))) |
(fma.f64 (fma.f64 (fma.f64 t z t) z t) z t) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(/ (+ (* -1 t) (* -1 (/ t z))) z) |
(/.f64 (+.f64 (/.f64 t z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) t) (neg.f64 z)) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(* -1 (/ (+ t (/ t z)) z)) |
(/.f64 (+.f64 (/.f64 t z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 t z) t) z) t) z) t) (neg.f64 z)) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ 1 z) z) |
(/.f64 (-.f64 z #s(literal -1 binary64)) z) |
(/ (+ 1 (* z (+ 1 z))) z) |
(/.f64 (fma.f64 (-.f64 z #s(literal -1 binary64)) z #s(literal 1 binary64)) z) |
(/ (+ 1 (* z (+ 1 (* z (+ 1 z))))) z) |
(/.f64 (fma.f64 (fma.f64 (-.f64 z #s(literal -1 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) z) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (*.f64 z z)) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) (+ 1 (/ 1 z))) (pow z 2)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 z z)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(* -1 (/ (+ 1 (/ 1 z)) (pow z 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) (pow z 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (*.f64 z z)) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) #s(literal 1 binary64)) (*.f64 z z)) |
| 5 494× | lower-*.f32 |
| 5 476× | lower-*.f64 |
| 4 130× | lower-/.f32 |
| 4 116× | lower-/.f64 |
| 2 482× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 219 |
| 0 | 65 | 205 |
| 1 | 257 | 202 |
| 2 | 1984 | 202 |
| 0 | 8102 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/.f64 z y) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
(*.f64 x (fma.f64 (neg.f64 t) z y)) |
(fma.f64 (neg.f64 t) z y) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z) |
(fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) |
(*.f64 x (fma.f64 t z t)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) |
(-.f64 #s(literal 1 binary64) z) |
(/.f64 t (-.f64 #s(literal 1 binary64) z)) |
(neg.f64 t) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (/.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 y z) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(exp.f64 (log.f64 (/.f64 y z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y))) x) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) x) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) x) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) z)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) x)) |
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(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) z)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64))) |
Compiled 32 208 to 2 918 computations (90.9% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 632 | 15 | 1 647 |
| Fresh | 7 | 2 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 643 | 18 | 1 661 |
| Status | Accuracy | Program |
|---|---|---|
| 33.3% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | |
| 36.3% | (*.f64 (*.f64 #s(approx (+ (* (- 1 z) y) (* (neg z) t)) (*.f64 (neg.f64 t) z)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| ▶ | 94.9% | (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
| 75.3% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) | |
| ✓ | 60.2% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| ▶ | 60.1% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| 46.6% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) | |
| 83.2% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) | |
| ▶ | 68.9% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
| 59.9% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) | |
| 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) | |
| 64.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) | |
| 22.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) | |
| 52.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 t x) (+.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 t z)))))) | |
| 11.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) | |
| 55.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (neg.f64 x)) t))) | |
| ▶ | 25.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
| ▶ | 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
Compiled 550 to 324 computations (41.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 t y) | |
| cost-diff | 0 | (fma.f64 (+.f64 t y) (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| cost-diff | 0 | (-.f64 (/.f64 y z) t) | |
| cost-diff | 0 | (*.f64 x (-.f64 (/.f64 y z) t)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) t) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) | |
| cost-diff | 192 | (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
| 7 642× | lower-fma.f32 |
| 7 638× | lower-fma.f64 |
| 3 386× | lower-*.f32 |
| 3 374× | lower-*.f64 |
| 1 714× | lower--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 283 |
| 0 | 69 | 278 |
| 1 | 137 | 268 |
| 2 | 300 | 262 |
| 3 | 727 | 262 |
| 4 | 2517 | 246 |
| 5 | 5680 | 246 |
| 0 | 8327 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
x |
(fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
t |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 y z) |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) |
(*.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
t |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
x |
(-.f64 (/.f64 y z) t) |
(/.f64 y z) |
y |
z |
t |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
x |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(fma.f64 (+.f64 t y) (neg.f64 z) y) |
(+.f64 t y) |
t |
y |
(neg.f64 z) |
z |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
x |
(fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
t |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (-.f64 z #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 y z) |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) |
(*.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
t |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (-.f64 (/.f64 y z) t) x))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (-.f64 (/.f64 y z) t) x)) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
x |
(-.f64 (/.f64 y z) t) |
(/.f64 y z) |
y |
z |
t |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
(*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) x) |
x |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x)) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(fma.f64 (+.f64 t y) (neg.f64 z) y) |
(fma.f64 (-.f64 (neg.f64 t) y) z y) |
(+.f64 t y) |
(+.f64 y t) |
t |
y |
(neg.f64 z) |
z |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (+.f64 t y) (neg.f64 z) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) z) | |
| accuracy | 3.22896990056637 | (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) | |
| accuracy | 18.37929666822625 | (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.18538840476030194 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| accuracy | 3.260376956300747 | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| accuracy | 24.646223294425507 | #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) | |
| accuracy | 0 | (-.f64 (/.f64 y z) t) | |
| accuracy | 0 | #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) | |
| accuracy | 2.6893098965521465 | (*.f64 x (-.f64 (/.f64 y z) t)) | |
| accuracy | 20.0900167662033 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) t) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 20.0900167662033 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) | |
| accuracy | 27.476707095511337 | #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0859375 | (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) | |
| accuracy | 3.260376956300747 | (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
| 77.0ms | 256× | 0 | valid |
Compiled 213 to 41 computations (80.8% saved)
ival-mult: 20.0ms (44.5% of total)ival-div: 13.0ms (28.9% of total)ival-add: 5.0ms (11.1% of total)ival-sub: 3.0ms (6.7% of total)ival-neg: 3.0ms (6.7% 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 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (-.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 #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) (patch #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) t) (patch (*.f64 (neg.f64 x) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) (patch #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 (/.f64 y z) t)) (patch (*.f64 x (-.f64 (/.f64 y z) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 y z) t) (patch (-.f64 (/.f64 y z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) (patch #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) (patch (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) (patch #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 t y) (neg.f64 z) y) (patch (fma.f64 (+.f64 t y) (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (+.f64 t y) (patch (+.f64 t y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ t (- 1 z))) (taylor inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ t (- 1 z))) (taylor -inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (* t z))) z) (taylor 0 z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z) (taylor 0 z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (+ (* -1 t) (* z (+ (* -1 t) (* -1 (* t z))))))) z) (taylor 0 z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t y) z) (taylor inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t (+ y (/ t z))) z) (taylor inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t (+ y (+ (/ t z) (/ t (pow z 2))))) z) (taylor inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3)))))) z) (taylor inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 t) (* -1 y)) z)) (taylor -inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) (taylor -inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z)) (taylor -inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z)) (taylor -inf z) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ t (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) (taylor -inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) (taylor -inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) (taylor -inf y) (#s(alt (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ t (- 1 z))) (/ y z))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) (- 1 z))) (taylor inf t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ 1 (* -1 z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* x (- (/ y z) t)) |
| 1.0ms | x | @ | 0 | (* (+ (* (+ t y) (neg z)) y) (/ x (* (- 1 z) z))) |
| 1.0ms | y | @ | -inf | (* (+ (* (+ t y) (neg z)) y) (/ x (* (- 1 z) z))) |
| 1.0ms | t | @ | 0 | (* (+ (* (+ t y) (neg z)) y) (/ x (* (- 1 z) z))) |
| 1.0ms | t | @ | inf | (* (+ (* (+ t y) (neg z)) y) (/ x (* (- 1 z) z))) |
| 1× | egg-herbie |
| 15 720× | lower-fma.f64 |
| 15 720× | lower-fma.f32 |
| 3 974× | lower-*.f64 |
| 3 974× | lower-*.f32 |
| 2 848× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 7575 |
| 1 | 1632 | 6970 |
| 2 | 4914 | 6824 |
| 0 | 8700 | 6737 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(* -1 (/ t (- 1 z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* -1 (/ t (- 1 z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z) |
(/ (+ y (* z (+ (* -1 t) (* z (+ (* -1 t) (* -1 (* t z))))))) z) |
(/ (+ t y) z) |
(/ (+ t (+ y (/ t z))) z) |
(/ (+ t (+ y (+ (/ t z) (/ t (pow z 2))))) z) |
(/ (+ t (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3)))))) z) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z)) |
(* -1 (/ t (- 1 z))) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(/ y z) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(/ y z) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(* x (+ (* -1 (/ t (- 1 z))) (/ y z))) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* x (+ t y)) z) |
(/ (+ (* x (+ t y)) (/ (* t x) z)) z) |
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
-1 |
(- (* -1 z) 1) |
(- (* z (- (* -1 z) 1)) 1) |
(- (* z (- (* z (- (* -1 z) 1)) 1)) 1) |
(/ 1 z) |
(/ (+ 1 (/ 1 z)) z) |
(/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z) |
(/ (+ 1 (+ (/ 1 z) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))) z) |
(/ 1 z) |
(/ (+ 1 (/ 1 z)) z) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 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 (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* x (- y (* -1 t))) z) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* x (- (* -1 y) t)) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x y) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* -1 (* t x)) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* x (- y (* -1 t))) z) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* x (- (* -1 y) t)) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x (+ y (* -1 (* t z)))) z) |
(/ (* x y) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* -1 (* t x)) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(/ (* x y) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* -1 (* t x)) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z)))))) |
(* -1 t) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(/ y z) |
(* y (+ (* -1 (/ t y)) (/ 1 z))) |
(* y (+ (* -1 (/ t y)) (/ 1 z))) |
(* y (+ (* -1 (/ t y)) (/ 1 z))) |
(/ y z) |
(* -1 (* y (- (/ t y) (/ 1 z)))) |
(* -1 (* y (- (/ t y) (/ 1 z)))) |
(* -1 (* y (- (/ t y) (/ 1 z)))) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* -1 (* t z))) z) |
(* -1 t) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(* -1 t) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(/ y z) |
(+ (* -1 t) (/ y z)) |
(+ (* -1 t) (/ y z)) |
(+ (* -1 t) (/ y z)) |
(* -1 t) |
(* t (- (/ y (* t z)) 1)) |
(* t (- (/ y (* t z)) 1)) |
(* t (- (/ y (* t z)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ y (* t z)))))) |
(* -1 (* t (+ 1 (* -1 (/ y (* t z)))))) |
(* -1 (* t (+ 1 (* -1 (/ y (* t 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 (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* x (- (/ y z) (/ t (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* x (- y (* -1 t))) z) |
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* x (- (* -1 y) t)) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z)) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(/ y z) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z))) |
(/ y z) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z)))) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (- (* -1 (* t z)) t))) z) |
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z) |
(/ (- y (* -1 t)) z) |
(/ (- (+ y (/ t z)) (* -1 t)) z) |
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z) |
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z) |
(* -1 (/ (- (* -1 y) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z)) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z)) |
(/ y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(* -1 (/ t (- 1 z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* -1 (/ t (- 1 z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(/ 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) |
(/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* -1 (/ (* x (* y (- z 1))) (* z (- 1 z)))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* -1 (* x (+ t y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* -1 (* x (+ t y))) (* z (- (* -1 (* x (+ t y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* -1 (* x (+ t y))) (* z (- (* z (- (* -1 (* x (+ t y))) (* -1 (* x y)))) (* -1 (- (* -1 (* x (+ t y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(/ (* x (+ t y)) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (* x (+ t y))) (* -1 (/ (* x (+ t y)) z))) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (* x (+ t y)))) (+ (* -1 (/ (* x (+ t y)) z)) (* -1 (/ (* x (+ t y)) (pow z 2))))) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x (+ t y)))) (+ (* -1 (/ (* x (+ t y)) z)) (+ (* -1 (/ (* x (+ t y)) (pow z 3))) (* -1 (/ (- (* -1 (* x y)) (* -1 (* x (+ t y)))) (pow z 2)))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y)))) (* -1 (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (* -1 (/ (* x y) z))) (/ (* x (+ (* -1 t) (* -1 y))) z)) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 2)))) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 3))))) (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) (pow z 2))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 3))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
y |
(+ y (* -1 (* z (+ t y)))) |
(+ y (* -1 (* z (+ t y)))) |
(+ y (* -1 (* z (+ t y)))) |
(* -1 (* z (+ t y))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* -1 (* z (+ t y))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
y |
(+ t y) |
(+ t y) |
(+ t y) |
t |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
t |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
t |
(+ t y) |
(+ t y) |
(+ t y) |
y |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
y |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x z) |
(/ (+ x (* x z)) z) |
(/ (+ x (* z (- (* x z) (* -1 x)))) z) |
(/ (+ x (* z (- (* z (- (* x z) (* -1 x))) (* -1 x)))) z) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 2)))) (/ x z)) (pow z 2)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 3)))) (+ (/ x z) (/ x (pow z 2)))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) (pow z 2)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) (pow z 2)) |
z |
(* z (+ 1 (* -1 z))) |
(* z (+ 1 (* -1 z))) |
(* z (+ 1 (* -1 z))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(* -1 (/ t (- 1 z))) |
(/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(* -1 (/ t (- 1 z))) |
(/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) |
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* t z))) z) |
(/.f64 (-.f64 y (*.f64 t z)) z) |
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z) |
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(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (neg.f64 z) (+.f64 t y) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t) z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(* y (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
(* -1 (* y (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(fma.f64 (fma.f64 (/.f64 z y) t z) (neg.f64 y) y) |
y |
(+ y (* -1 (* z (+ t y)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ y (* -1 (* z (+ t y)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(+ y (* -1 (* z (+ t y)))) |
(fma.f64 (neg.f64 z) (+.f64 t y) y) |
(* -1 (* z (+ t y))) |
(*.f64 (-.f64 (neg.f64 y) t) z) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
(* -1 (* z (+ t y))) |
(*.f64 (-.f64 (neg.f64 y) t) z) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 y z) t) y) z) |
y |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
t |
(* t (+ 1 (/ y t))) |
(fma.f64 (/.f64 y t) t t) |
(* t (+ 1 (/ y t))) |
(fma.f64 (/.f64 y t) t t) |
(* t (+ 1 (/ y t))) |
(fma.f64 (/.f64 y t) t t) |
t |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(fma.f64 (/.f64 y t) t t) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(fma.f64 (/.f64 y t) t t) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(fma.f64 (/.f64 y t) t t) |
t |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
y |
(* y (+ 1 (/ t y))) |
(fma.f64 (/.f64 t y) y y) |
(* y (+ 1 (/ t y))) |
(fma.f64 (/.f64 t y) y y) |
(* y (+ 1 (/ t y))) |
(fma.f64 (/.f64 t y) y y) |
y |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(fma.f64 (/.f64 t y) y y) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(fma.f64 (/.f64 t y) y y) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(fma.f64 (/.f64 t y) y y) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* x z)) z) |
(/.f64 (fma.f64 x z x) z) |
(/ (+ x (* z (- (* x z) (* -1 x)))) z) |
(/.f64 (fma.f64 (fma.f64 x z x) z x) z) |
(/ (+ x (* z (- (* z (- (* x z) (* -1 x))) (* -1 x)))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 x z x) z x) z x) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (neg.f64 x) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 x z) x)) (*.f64 z z)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 2)))) (/ x z)) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x)) (*.f64 z z)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 3)))) (+ (/ x z) (/ x (pow z 2)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) (neg.f64 z)) x) (*.f64 z z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (neg.f64 x) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 x z) x)) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x)) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) (neg.f64 z)) x) (*.f64 z z)) |
z |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
| 8 654× | lower-fma.f32 |
| 8 650× | lower-fma.f64 |
| 4 780× | lower-/.f32 |
| 4 770× | lower-/.f64 |
| 4 580× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 251 |
| 0 | 69 | 243 |
| 1 | 268 | 230 |
| 2 | 2407 | 230 |
| 0 | 8571 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t)) |
(*.f64 (neg.f64 x) t) |
(neg.f64 x) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t))) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(-.f64 (/.f64 y z) t) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
(/.f64 z y) |
(*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(fma.f64 (+.f64 t y) (neg.f64 z) y) |
(+.f64 t y) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (/.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 z t))) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)) y (*.f64 (*.f64 (neg.f64 t) z) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)) y (*.f64 (*.f64 (neg.f64 t) z) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))) (/.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)) y (*.f64 (*.f64 (neg.f64 t) z) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)) y (*.f64 (*.f64 (neg.f64 t) z) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)) y (*.f64 (*.f64 (neg.f64 t) z) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(*.f64 (fma.f64 (neg.f64 z) t (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (-.f64 (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal -1 binary64)) |
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(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 z) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 z (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)))) |
(+.f64 z (*.f64 (neg.f64 z) z)) |
(+.f64 z (*.f64 z (neg.f64 z))) |
Compiled 30 320 to 2 588 computations (91.5% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 584 | 5 | 1 589 |
| Fresh | 2 | 10 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 588 | 19 | 1 607 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (*.f64 x (fma.f64 t #s(approx (/ -1 (- 1 z)) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) | |
| 75.3% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) | |
| ✓ | 60.2% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| ✓ | 60.1% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| 69.2% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (+.f64 y t) y) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| ▶ | 46.6% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
| ▶ | 83.2% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) |
| ▶ | 37.4% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
| 59.9% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) | |
| ▶ | 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
| 64.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) | |
| 22.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) | |
| 52.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 t x) (+.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 t z)))))) | |
| ▶ | 11.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
| 63.6% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 (/.f64 y z) x (*.f64 (neg.f64 x) t)))) | |
| 63.6% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 z) y)) (*.f64 (neg.f64 x) t)))) | |
| 55.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (neg.f64 x)) t))) | |
| ✓ | 25.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
| ✓ | 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
Compiled 507 to 299 computations (41% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 z) t) | |
| cost-diff | 0 | #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (fma.f64 (neg.f64 t) z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (*.f64 t x) | |
| cost-diff | 0 | (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (*.f64 t x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) | |
| cost-diff | 0 | (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) | |
| cost-diff | 512 | (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) |
| 8 832× | lower-fma.f32 |
| 8 828× | lower-fma.f64 |
| 3 976× | lower-*.f32 |
| 3 960× | lower-*.f64 |
| 1 752× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 346 |
| 0 | 75 | 346 |
| 1 | 146 | 330 |
| 2 | 350 | 322 |
| 3 | 926 | 322 |
| 4 | 3020 | 304 |
| 5 | 5549 | 304 |
| 0 | 8179 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) |
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) |
(/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) |
x |
(*.f64 (+.f64 #s(literal -1 binary64) z) y) |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
y |
t |
(/.f64 x z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(neg.f64 z) |
z |
(*.f64 t x) |
t |
x |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 t x) |
t |
x |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
(*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) |
(fma.f64 (neg.f64 t) z y) |
(neg.f64 t) |
t |
z |
y |
(/.f64 x z) |
x |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
#s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
t |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x)) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) |
(fma.f64 (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) y)) t (/.f64 x z)) |
(/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) y)) |
x |
(*.f64 (+.f64 #s(literal -1 binary64) z) y) |
(*.f64 (-.f64 z #s(literal 1 binary64)) y) |
(+.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal -1 binary64) |
z |
y |
t |
(/.f64 x z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 x (*.f64 t (neg.f64 z))))) |
#s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) |
#s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 x (*.f64 t (neg.f64 z)))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(*.f64 x (*.f64 t (neg.f64 z))) |
(neg.f64 z) |
z |
(*.f64 t x) |
(*.f64 x t) |
t |
x |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) x) |
(*.f64 t x) |
(*.f64 x t) |
t |
x |
(+.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal -1 binary64) |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 (fma.f64 (neg.f64 t) z y) z) x)) |
(*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) z y) z) x) |
(fma.f64 (neg.f64 t) z y) |
(neg.f64 t) |
t |
z |
y |
(/.f64 x z) |
x |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 t (neg.f64 z))))) |
(*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 t (neg.f64 z)))) |
#s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) |
#s(approx (+ (* (+ t y) (neg z)) y) (*.f64 t (neg.f64 z))) |
(*.f64 (neg.f64 z) t) |
(*.f64 t (neg.f64 z)) |
(neg.f64 z) |
z |
t |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) z) | |
| accuracy | 3.22896990056637 | (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) | |
| accuracy | 18.37929666822625 | (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| accuracy | 37.3786188048355 | #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 9.984941550533916 | (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) | |
| accuracy | 20.0900167662033 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) | |
| accuracy | 0 | (+.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (*.f64 t x) | |
| accuracy | 2.6589749655583526 | (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) | |
| accuracy | 32.280070629127394 | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 5.9917336876841585 | (*.f64 (neg.f64 z) (*.f64 t x)) | |
| accuracy | 24.51729452067372 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) | |
| accuracy | 35.73218268884826 | #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 #s(literal -1 binary64) z) y) | |
| accuracy | 3.234090253863171 | (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) | |
| accuracy | 4.675880474945442 | (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) | |
| accuracy | 6.790663161229396 | (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) |
| 81.0ms | 256× | 0 | valid |
Compiled 256 to 47 computations (81.6% saved)
ival-mult: 30.0ms (53.1% of total)ival-div: 13.0ms (23% of total)ival-add: 8.0ms (14.2% of total)ival-sub: 3.0ms (5.3% of total)ival-neg: 2.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) (patch #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) (patch (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) (patch #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (*.f64 t x)) (patch (*.f64 (neg.f64 z) (*.f64 t x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) (patch #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) (patch (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) z) (patch (+.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) (patch (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 t) z y) (patch (fma.f64 (neg.f64 t) z y) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) (patch #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) (patch (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (patch #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal -1 binary64) z) y) (patch (*.f64 (+.f64 #s(literal -1 binary64) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t (* x z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x (/ (* t x) y))) z) (taylor inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (/ (* t x) y))) (/ (* t x) z)) z) (taylor inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) (taylor inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) (taylor inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (+ (* -1 x) (* -1 (/ (* t x) y)))) z)) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t x) (- z 1)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t x) (- z 1)) (taylor inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t x) (- z 1)) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) (patch (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (* z (- 1 z))) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (- 1 z))) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (- 1 z))) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (- 1 z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (- 1 z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* x z) (* -1 x)))) z) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x (pow z 2))) (taylor inf z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow z 2)))) (/ x z)) (pow z 2)) (taylor inf z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow z 3)))) (+ (/ x z) (/ x (pow z 2)))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (patch (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #<representation binary64>) () ())) ()) |
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#s(alt z (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (/ 1 z) 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) z) #<representation binary64>) () ())) ()) |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | (/ x (* (+ -1 z) y)) |
| 7.0ms | z | @ | 0 | (* (- 1 z) z) |
| 1.0ms | x | @ | 0 | (* (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) y) |
| 1.0ms | y | @ | 0 | (* (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) y) |
| 1.0ms | x | @ | inf | (* (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) y) |
| 1× | egg-herbie |
| 14 570× | lower-fma.f64 |
| 14 570× | lower-fma.f32 |
| 4 356× | lower-*.f64 |
| 4 356× | lower-*.f32 |
| 2 546× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 588 | 9685 |
| 1 | 2007 | 8812 |
| 2 | 6376 | 8211 |
| 0 | 8676 | 7988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(/ (* x y) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/ (* y (+ x (/ (* t x) y))) z) |
(/ (+ (* y (+ x (/ (* t x) y))) (/ (* t x) z)) z) |
(/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(* -1 (/ (* y (+ (* -1 x) (* -1 (/ (* t x) y)))) z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(/ (* t x) (- z 1)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ (* t x) (- z 1)) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(/ (* t x) (- z 1)) |
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) |
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z)))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y)))) (* -1 (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (* -1 (/ (* x y) z))) (/ (* x (+ (* -1 t) (* -1 y))) z)) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 2)))) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 3))))) (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) (pow z 2))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 3))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* x (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* -1 (* x (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(/ x z) |
(/ (+ x (* -1 (/ (* t (* x z)) y))) z) |
(/ (+ x (* z (+ (* -1 (/ (* t x) y)) (* -1 (/ (* t (* x z)) y))))) z) |
(/ (+ x (* z (+ (* -1 (/ (* t x) y)) (* z (- (* -1 (/ (* t (* x z)) y)) (/ (* t x) y)))))) z) |
(/ (+ x (/ (* t x) y)) z) |
(/ (+ x (+ (/ (* t x) y) (/ (* t x) (* y z)))) z) |
(/ (- (+ x (+ (/ (* t x) y) (/ (* t x) (* y (pow z 2))))) (* -1 (/ (* t x) (* y z)))) z) |
(/ (- (+ x (+ (/ (* t x) y) (/ (* t x) (* y (pow z 3))))) (+ (* -1 (/ (* t x) (* y z))) (* -1 (/ (* t x) (* y (pow z 2)))))) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t x) y))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* t x) y)) (* -1 (/ (* t x) (* y z))))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* t x) y)) (* -1 (/ (+ (/ (* t x) y) (/ (* t x) (* y z))) z)))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* t x) y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* t x) y)) (* -1 (/ (* t x) (* y z)))) z)) (/ (* t x) y)) z)))) z)) |
(/ (* t x) (* y (- z 1))) |
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) y) |
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) y) |
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) y) |
(/ x z) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(/ x z) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(/ x z) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(+ (/ x z) (/ (* t x) (* y (- z 1)))) |
(/ (* t x) (* y (- z 1))) |
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(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* x (+ (* -1 t) (* -1 y))) (* z (- (* z (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y)))) (* -1 (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (* -1 (/ (* x y) z))) (/ (* x (+ (* -1 t) (* -1 y))) z)) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 2)))) z) |
(/ (- (+ (* -1 (* x (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 3))))) (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) (pow z 2))) (+ (/ (* x (+ (* -1 t) (* -1 y))) z) (/ (* x (+ (* -1 t) (* -1 y))) (pow z 3))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z)))))) |
(/ (* x y) z) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* z (- 1 z)))) |
(* -1 (/ (* t x) (- 1 z))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z)))))) |
(* -1 (/ (* t x) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ (* x (+ y (* -1 (* y z)))) (* t (* z (- 1 z))))) (/ x (- 1 z))))) |
(* -1 (/ (* t x) (- 1 z))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z)))) |
(/ (* x (* y (+ 1 (* -1 z)))) (* z (- 1 z))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ (* x (+ 1 (* -1 z))) (* z (- 1 z))))) |
(* -1 (/ (* x (* y (- z 1))) (* z (- 1 z)))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(* -1 (* y (+ (/ (* t x) (* y (- 1 z))) (/ (* x (- z 1)) (* z (- 1 z)))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (- (* -1 (* x (+ t y))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* -1 (* x (+ t y))) (* z (- (* -1 (* x (+ t y))) (* -1 (* x y))))) (* -1 (* x y))))) z) |
(/ (+ (* x y) (* z (- (+ (* -1 (* x (+ t y))) (* z (- (* z (- (* -1 (* x (+ t y))) (* -1 (* x y)))) (* -1 (- (* -1 (* x (+ t y))) (* -1 (* x y))))))) (* -1 (* x y))))) z) |
(/ (* x (+ t y)) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (* x (+ t y))) (* -1 (/ (* x (+ t y)) z))) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (* x (+ t y)))) (+ (* -1 (/ (* x (+ t y)) z)) (* -1 (/ (* x (+ t y)) (pow z 2))))) z) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x (+ t y)))) (+ (* -1 (/ (* x (+ t y)) z)) (+ (* -1 (/ (* x (+ t y)) (pow z 3))) (* -1 (/ (- (* -1 (* x y)) (* -1 (* x (+ t y)))) (pow z 2)))))) z) |
(/ (* x (+ t y)) z) |
(* -1 (/ (- (+ (* -1 (* x (+ t y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (- (+ (* -1 (- (* x y) (* x (+ t y)))) (/ (* x (+ t y)) z)) (/ (* x y) z)) z))) z)) |
(* -1 (/ (+ (* -1 (* x (+ t y))) (* -1 (/ (+ (* -1 (- (* x y) (* x (+ t y)))) (* -1 (/ (- (+ (* -1 (- (* x (+ t y)) (* x y))) (/ (* x y) z)) (/ (* x (+ t y)) z)) z))) z))) z)) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(/ (* x (+ y (* -1 (* z (+ t y))))) (* z (- 1 z))) |
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(+ y (+ (* -1 (* t z)) (* -1 (* y z)))) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* t (+ (* -1 z) (+ (* -1 (/ (* y z) t)) (/ y t)))) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t (+ z (* -1 (/ (+ y (* -1 (* y z))) t))))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(+ (* -1 (* t z)) (* y (+ 1 (* -1 z)))) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* t z) y))))) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
(* -1 (* y (- (+ z (/ (* t z) y)) 1))) |
y |
(+ y (* -1 (* z (+ t y)))) |
(+ y (* -1 (* z (+ t y)))) |
(+ y (* -1 (* z (+ t y)))) |
(* -1 (* z (+ t y))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* z (+ (* -1 (+ t y)) (/ y z))) |
(* -1 (* z (+ t y))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* z (+ t (+ y (* -1 (/ y z)))))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 y) |
(+ (* -1 y) (* y z)) |
(+ (* -1 y) (* y z)) |
(+ (* -1 y) (* y z)) |
(* y z) |
(* z (+ y (* -1 (/ y z)))) |
(* z (+ y (* -1 (/ y z)))) |
(* z (+ y (* -1 (/ y z)))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (/ y z)))) |
(* -1 (* z (+ (* -1 y) (/ y z)))) |
(* -1 (* z (+ (* -1 y) (/ y 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)) |
(/ 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 (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x (* z (- 1 z))) |
(/ x z) |
(/ (+ x (* x z)) z) |
(/ (+ x (* z (- (* x z) (* -1 x)))) z) |
(/ (+ x (* z (- (* z (- (* x z) (* -1 x))) (* -1 x)))) z) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 2)))) (/ x z)) (pow z 2)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 3)))) (+ (/ x z) (/ x (pow z 2)))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) (pow z 2)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) (pow z 2)) |
z |
(* z (+ 1 (* -1 z))) |
(* z (+ 1 (* -1 z))) |
(* z (+ 1 (* -1 z))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
(* (pow z 2) (- (/ 1 z) 1)) |
| Outputs |
|---|
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* x (* y (+ (/ 1 z) (/ t (* y (- z 1)))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* x (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z) |
(*.f64 (/.f64 (-.f64 y (*.f64 (fma.f64 t z t) z)) z) x) |
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 z) x) (fma.f64 t z t) (*.f64 (neg.f64 t) x)) z (*.f64 y x)) z) |
(/ (* y (+ x (/ (* t x) y))) z) |
(*.f64 (fma.f64 (/.f64 x y) t x) (/.f64 y z)) |
(/ (+ (* y (+ x (/ (* t x) y))) (/ (* t x) z)) z) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (*.f64 t x) z)) z) |
(/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (*.f64 t (+.f64 (/.f64 x z) x)) z)) z) |
(/ (+ (* y (+ x (/ (* t x) y))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (fma.f64 t x (/.f64 (*.f64 t (+.f64 (/.f64 x z) x)) z)) z)) z) |
(* -1 (/ (* y (+ (* -1 x) (* -1 (/ (* t x) y)))) z)) |
(*.f64 (fma.f64 (/.f64 x y) t x) (/.f64 y z)) |
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (*.f64 t x) z)) z) |
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (*.f64 t (+.f64 (/.f64 x z) x)) z)) z) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* y (+ (* -1 x) (* -1 (/ (* t x) y))))) z)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) t x) y (/.f64 (fma.f64 t x (/.f64 (*.f64 t (+.f64 (/.f64 x z) x)) z)) z)) z) |
(/ (* t x) (- z 1)) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* y (+ (/ x z) (/ (* t x) (* y (- z 1))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1))))))) |
(*.f64 (fma.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x (/.f64 x z)) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t)) |
(/ (* t x) (- z 1)) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (/.f64 x (-.f64 z #s(literal 1 binary64)))) t) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (/.f64 x (-.f64 z #s(literal 1 binary64)))) t) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (/.f64 x (-.f64 z #s(literal 1 binary64)))) t) |
(/ (* t x) (- z 1)) |
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(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x (* z (- 1 z))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* x z)) z) |
(/.f64 (fma.f64 z x x) z) |
(/ (+ x (* z (- (* x z) (* -1 x)))) z) |
(/.f64 (fma.f64 (fma.f64 z x x) z x) z) |
(/ (+ x (* z (- (* z (- (* x z) (* -1 x))) (* -1 x)))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 z x x) z x) z x) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (neg.f64 x) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) z) x) (*.f64 z z)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 2)))) (/ x z)) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x)) (*.f64 z z)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow z 3)))) (+ (/ x z) (/ x (pow z 2)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) (neg.f64 z)) x) (*.f64 z z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (neg.f64 x) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) z) x) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x)) (*.f64 z z)) |
(/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) (neg.f64 z)) x) (*.f64 z z)) |
z |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* z (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(* (pow z 2) (- (/ 1 z) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
| 6 428× | lower-*.f32 |
| 6 412× | lower-*.f64 |
| 3 648× | lower-/.f32 |
| 3 640× | lower-/.f64 |
| 2 956× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 312 |
| 0 | 75 | 306 |
| 1 | 312 | 278 |
| 2 | 2562 | 278 |
| 0 | 8341 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) |
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) |
(/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x))) |
(*.f64 (neg.f64 z) (*.f64 t x)) |
(neg.f64 z) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 t x) |
(+.f64 #s(literal -1 binary64) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
(*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z)) |
(fma.f64 (neg.f64 t) z y) |
(neg.f64 t) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
(*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
#s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(*.f64 (+.f64 #s(literal -1 binary64) z) y) |
(/.f64 x z) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
| Outputs |
|---|
(*.f64 (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)) y) |
(*.f64 y (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z))) y) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z))) y) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))))) |
(/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z)))) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z))) |
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) y (*.f64 (/.f64 x z) y)) |
(fma.f64 (/.f64 x z) y (*.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) y)) |
(fma.f64 y (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 y (/.f64 x z))) |
(fma.f64 y (/.f64 x z) (*.f64 y (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))))) |
(+.f64 (*.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) y) (*.f64 (/.f64 x z) y)) |
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) y)) |
(+.f64 (*.f64 y (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (*.f64 y (/.f64 x z))) |
(+.f64 (*.f64 y (/.f64 x z)) (*.f64 y (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)) y)) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)) (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z))) (*.f64 (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)) (/.f64 (*.f64 x x) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)))) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)))) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z)))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) x) t (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) (neg.f64 x))) (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 t x) (/.f64 z x) (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) (/.f64 z x))) |
(/.f64 (fma.f64 (*.f64 t x) z (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) x)) (*.f64 (*.f64 y (+.f64 z #s(literal -1 binary64))) z)) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 y (+.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) t) x)) (*.f64 (neg.f64 z) (*.f64 y (+.f64 z #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 z x) (*.f64 t x))) (*.f64 (/.f64 z x) (*.f64 y (+.f64 z #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 t x) z)) (*.f64 z (*.f64 y (+.f64 z #s(literal -1 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z))) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z))) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 (*.f64 (*.f64 t x) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (*.f64 (*.f64 t x) (/.f64 x z))) (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)) (-.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x x) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 z #s(literal -1 binary64))))) (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z))))) |
(fma.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 x y) (/.f64 x z)) |
(fma.f64 (/.f64 x y) (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 x z)) |
(fma.f64 (/.f64 t y) (/.f64 x (+.f64 z #s(literal -1 binary64))) (/.f64 x z)) |
(fma.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) (/.f64 t y) (/.f64 x z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)) |
(fma.f64 (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) t (/.f64 x z)) |
(fma.f64 x (/.f64 t (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z #s(literal -1 binary64)))) t) (/.f64 x z)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) y) (-.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z))) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)))) |
(+.f64 (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64))))) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 z #s(literal -1 binary64)))) |
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(*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)))) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x) (-.f64 #s(literal 1 binary64) z)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x) z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t))) z) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t))) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x)) |
(/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (neg.f64 x)) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x)) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) x))) |
#s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 t) z) |
(*.f64 (neg.f64 z) t) |
(*.f64 t (neg.f64 z)) |
(*.f64 z (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 t z)) |
(neg.f64 (*.f64 t z)) |
(-.f64 #s(literal 0 binary64) (*.f64 t z)) |
(*.f64 y (+.f64 z #s(literal -1 binary64))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z #s(literal -1 binary64)) y) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 z z) z #s(literal -1 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z)) |
(fma.f64 y z (*.f64 y #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 y z)) |
(fma.f64 z y (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 z y)) |
(+.f64 (*.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 y z) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y z)) |
(+.f64 (neg.f64 y) (*.f64 z y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(pow.f64 (/.f64 z (/.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) z) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x)) |
(/.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x))) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) z) |
(*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 z (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) z) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 z) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 z (neg.f64 z))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (neg.f64 z))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)))) |
(+.f64 z (*.f64 (neg.f64 z) z)) |
(+.f64 z (*.f64 z (neg.f64 z))) |
Compiled 19 282 to 1 236 computations (93.6% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 241 | 11 | 1 252 |
| Fresh | 5 | 5 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 251 | 20 | 1 271 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) | |
| ✓ | 60.2% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| 59.9% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) | |
| 47.4% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) | |
| 59.7% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) | |
| 40.2% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (*.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x)) y)) | |
| 49.4% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 x (*.f64 t (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) | |
| 6.7% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) | |
| 34.1% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) | |
| 22.1% | #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) | |
| 64.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) | |
| 22.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) | |
| 7.1% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) | |
| 52.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 t x) (+.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 t z)))))) | |
| ✓ | 11.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
| 63.6% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 z) y)) (*.f64 (neg.f64 x) t)))) | |
| 55.5% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (neg.f64 x)) t))) | |
| ✓ | 25.7% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
| ✓ | 64.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
Compiled 826 to 298 computations (63.9% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 (/.f64 y z) x (*.f64 (neg.f64 x) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 x (*.f64 t (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (fma.f64 (neg.f64 t) z y) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (neg.f64 x)) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (*.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 t x) (+.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 t z)))))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (fma.f64 t #s(approx (/ -1 (- 1 z)) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 t z t)) (neg.f64 z) (*.f64 y x)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (+.f64 t y) (neg.f64 z) y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (+.f64 y t) y) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 x (fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (+ (* (- 1 z) y) (* (neg z) t)) (*.f64 (neg.f64 t) z)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 z) y)) (*.f64 (neg.f64 x) t)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (*.f64 (-.f64 #s(literal 1 binary64) z) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) z) y)) t (/.f64 x z)) y)) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
6 calls:
| 37.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 16.0ms | z |
| 13.0ms | x |
| 13.0ms | t |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | y |
| 94.9% | 1 | z |
| 94.9% | 1 | t |
| 97.1% | 2 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 99.0% | 3 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 (/.f64 y z) x (*.f64 (neg.f64 x) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 x (*.f64 t (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (fma.f64 (neg.f64 t) z y) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 t z)) x (neg.f64 x)) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (*.f64 (/.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (+ t y) (neg z)) y) (*.f64 (neg.f64 z) t)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 t x) (+.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 t z)))))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (fma.f64 (neg.f64 t) z y)) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
6 calls:
| 35.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 27.0ms | y |
| 9.0ms | z |
| 9.0ms | t |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 2 | x |
| 83.1% | 3 | y |
| 96.2% | 3 | z |
| 81.3% | 3 | t |
| 82.2% | 3 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 87.5% | 3 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 (/.f64 y z) x (*.f64 (neg.f64 x) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (/.f64 x z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (fma.f64 (/.f64 y z) x (*.f64 (neg.f64 x) t)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
6 calls:
| 29.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 3 | x |
| 77.9% | 4 | t |
| 75.8% | 5 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 75.1% | 3 | y |
| 77.2% | 6 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 80.5% | 5 | z |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
1 calls:
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 4 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 4 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
6 calls:
| 29.0ms | z |
| 6.0ms | x |
| 4.0ms | y |
| 4.0ms | t |
| 4.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | x |
| 64.2% | 3 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 66.8% | 4 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 65.2% | 3 | y |
| 67.8% | 4 | t |
| 70.8% | 5 | z |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
2 calls:
| 4.0ms | z |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 4 | t |
| 64.4% | 2 | z |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) |
2 calls:
| 3.0ms | z |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 2 | z |
| 65.7% | 3 | t |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) |
6 calls:
| 4.0ms | z |
| 3.0ms | t |
| 3.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 1 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 59.9% | 1 | x |
| 59.9% | 1 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 64.2% | 3 | y |
| 63.1% | 3 | t |
| 59.9% | 1 | z |
Compiled 48 to 35 computations (27.1% saved)
Total -12.6b remaining (-26.5%)
Threshold costs -12.6b (-26.5%)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (neg.f64 z) (*.f64 t x)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (neg.f64 z) t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) |
#s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (*.f64 (*.f64 t (-.f64 #s(literal -1 binary64) z)) x))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
6 calls:
| 5.0ms | y |
| 3.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.7% | 1 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 25.7% | 1 | x |
| 25.7% | 1 | z |
| 25.7% | 1 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 25.7% | 1 | t |
| 25.7% | 1 | y |
Compiled 48 to 35 computations (27.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.481979174947923e+298 | 9.187664630050706e+299 |
| 0.0ms | -inf | -4.051854838094032e+298 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.9925597755172771 | 6.919673574453221 |
| 11.0ms | -3185163.349698416 | -62319.803164332545 |
| 11.0ms | 208× | 0 | valid |
Compiled 382 to 238 computations (37.7% saved)
ival-div: 3.0ms (49% of total)ival-sub: 2.0ms (32.7% of total)ival-mult: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9925597755172771 | 6.919673574453221 |
| 0.0ms | -3185163.349698416 | -62319.803164332545 |
Compiled 382 to 238 computations (37.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9925597755172771 | 6.919673574453221 |
| 0.0ms | -3185163.349698416 | -62319.803164332545 |
Compiled 369 to 225 computations (39% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 9.92925162146158e+136 | 1.5971778423579417e+137 |
| 11.0ms | 5439014306.898643 | 32887965258502.715 |
| 11.0ms | -3676956713569934000.0 | -200781745186495.25 |
| 11.0ms | -3.707303379062113e+82 | -7.241177584808811e+81 |
| 24.0ms | 416× | 0 | valid |
Compiled 690 to 449 computations (34.9% saved)
ival-div: 7.0ms (50.7% of total)ival-sub: 3.0ms (21.7% of total)ival-mult: 2.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.92925162146158e+136 | 1.5971778423579417e+137 |
| 1.0ms | 5439014306.898643 | 32887965258502.715 |
| 15.0ms | -5.160636617748212e+87 | -3.707303379062113e+82 |
| 10.0ms | 144× | 0 | valid |
Compiled 555 to 352 computations (36.6% saved)
ival-div: 2.0ms (45.8% of total)ival-sub: 1.0ms (22.9% of total)ival-mult: 1.0ms (22.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.92925162146158e+136 | 1.5971778423579417e+137 |
| 0.0ms | 5439014306.898643 | 32887965258502.715 |
| 1.0ms | -5.160636617748212e+87 | -3.707303379062113e+82 |
Compiled 543 to 328 computations (39.6% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.92925162146158e+136 | 1.5971778423579417e+137 |
| 0.0ms | 5439014306.898643 | 32887965258502.715 |
| 13.0ms | -9.261530076920095e-51 | -1.8859329564791223e-55 |
| 13.0ms | -0.8099100800923766 | -8.70974460826805e-8 |
| 17.0ms | 272× | 0 | valid |
Compiled 735 to 457 computations (37.8% saved)
ival-div: 4.0ms (47.9% of total)ival-sub: 2.0ms (23.9% of total)ival-mult: 2.0ms (23.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6.142091018768241e+181 | 2.4680902860071592e+182 |
| 10.0ms | 7.49108411690235e-254 | 7.827476866799169e-252 |
| 12.0ms | -2.526560898982509e+63 | -5.777718120854831e+61 |
| 22.0ms | 320× | 0 | valid |
Compiled 498 to 297 computations (40.4% saved)
ival-div: 5.0ms (44.1% of total)ival-sub: 3.0ms (26.4% of total)ival-mult: 3.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5439014306.898643 | 32887965258502.715 |
Compiled 210 to 129 computations (38.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.812305564329534e-14 | 1.0278513506082217e-13 |
| 22.0ms | -1.7553651792358678e-149 | -4.001925971296727e-157 |
| 21.0ms | 224× | 0 | valid |
Compiled 340 to 213 computations (37.4% saved)
ival-div: 3.0ms (44.3% of total)ival-sub: 2.0ms (29.5% of total)ival-mult: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 420× | distribute-lft-neg-in_binary64 |
| 268× | unsub-neg_binary64 |
| 246× | neg-mul-1_binary64 |
| 196× | neg-sub0_binary64 |
| 152× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1104 |
| 1 | 190 | 1104 |
| 2 | 219 | 1104 |
| 3 | 238 | 1104 |
| 4 | 255 | 1104 |
| 5 | 302 | 1104 |
| 6 | 394 | 1104 |
| 7 | 569 | 1104 |
| 8 | 764 | 1104 |
| 9 | 969 | 1104 |
| 10 | 1152 | 1104 |
| 11 | 1270 | 1104 |
| 12 | 1333 | 1104 |
| 13 | 1380 | 1104 |
| 14 | 1400 | 1104 |
| 15 | 1404 | 1104 |
| 1× | saturated |
| Inputs |
|---|
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(if (<=.f64 z #s(literal -63000 binary64)) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 y (*.f64 t z)) (/.f64 x z))) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
(if (<=.f64 z #s(literal -63000 binary64)) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
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(if (<=.f64 z #s(literal -114999999999999997476778271452110590593500590029372946729645710608197274836718845952 binary64)) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) (if (<=.f64 z #s(literal 8500000000000 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (if (<=.f64 z #s(literal 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)))))) |
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(if (<=.f64 t #s(literal -950000000000000027561906245636191619704619141285981797715279872 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) (if (<=.f64 t #s(literal 8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) (if (<=.f64 t #s(literal 205000000000000001435263161516554371536273976852752513912784899755732070440646899172781088010952594419227018537051479002305327358802177242020118066896745247949016764269240696241651712 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z)))))) |
(if (<=.f64 z #s(literal 8500000000000 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z)))) |
(if (<=.f64 y #s(literal -5849641758473389/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) (if (<=.f64 y #s(literal 3089898338056309/79228162514264337593543950336 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal -inf.0 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (fma.f64 (neg.f64 t) z y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)))) |
(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal -inf.0 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) (fma.f64 (neg.f64 t) z y))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)))) |
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(if (<=.f64 z #s(literal -63000 binary64)) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) z)) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x))) |
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(if (<=.f64 z #s(literal -63000 binary64)) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) (-.f64 y (*.f64 t z)))) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x))) |
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(if (<=.f64 z #s(literal -944473296573929/147573952589676412928 binary64)) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) x) (if (<=.f64 z #s(literal -8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) z) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) t))) (if (<=.f64 z #s(literal 8500000000000 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) (if (<=.f64 z #s(literal 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 x t) z))) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z)) x))))) |
(if (<=.f64 t #s(literal -950000000000000027561906245636191619704619141285981797715279872 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z))) (if (<=.f64 t #s(literal 8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) (if (<=.f64 t #s(literal 205000000000000001435263161516554371536273976852752513912784899755732070440646899172781088010952594419227018537051479002305327358802177242020118066896745247949016764269240696241651712 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z)))))) |
(if (<=.f64 t #s(literal -950000000000000027561906245636191619704619141285981797715279872 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 x t) z))) (if (<=.f64 t #s(literal 8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) (*.f64 #s(approx (+ (* (/ x (* (+ -1 z) y)) t) (/ x z)) (/.f64 x z)) y)) (if (<=.f64 t #s(literal 205000000000000001435263161516554371536273976852752513912784899755732070440646899172781088010952594419227018537051479002305327358802177242020118066896745247949016764269240696241651712 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 x t) z)))))) |
(if (<=.f64 z #s(literal 8500000000000 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 t x) z)))) |
(if (<=.f64 z #s(literal 8500000000000 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) #s(approx (* (* (+ (* (- 1 z) y) (* (neg z) t)) x) (/ 1 (* (- 1 z) z))) #s(approx (/ (* t x) (+ -1 z)) (/.f64 (*.f64 x t) z)))) |
(if (<=.f64 y #s(literal -5849641758473389/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)) (if (<=.f64 y #s(literal 3089898338056309/79228162514264337593543950336 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 #s(approx (+ (* (* x (+ (* t z) t)) (neg z)) (* y x)) (*.f64 x y)) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (+ (* (neg t) z) y)) z) (*.f64 (neg.f64 x) t))) |
| 14 570× | lower-fma.f64 |
| 14 570× | lower-fma.f32 |
| 14 122× | lower-fma.f64 |
| 14 122× | lower-fma.f32 |
| 10 790× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 219 |
| 0 | 65 | 205 |
| 1 | 257 | 202 |
| 2 | 1984 | 202 |
| 0 | 8102 | 199 |
| 0 | 588 | 9685 |
| 1 | 2007 | 8812 |
| 2 | 6376 | 8211 |
| 0 | 8676 | 7988 |
| 0 | 203 | 1206 |
| 1 | 615 | 1158 |
| 2 | 1761 | 1126 |
| 3 | 5517 | 1114 |
| 0 | 8319 | 1097 |
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 65 | 31 |
| 2 | 616 | 31 |
| 0 | 8968 | 31 |
| 0 | 494 | 8265 |
| 1 | 1701 | 7632 |
| 2 | 5262 | 7331 |
| 0 | 8949 | 7113 |
| 0 | 54 | 312 |
| 0 | 75 | 306 |
| 1 | 312 | 278 |
| 2 | 2562 | 278 |
| 0 | 8341 | 274 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 137 to 537 computations (52.8% saved)
(negabs x)
Compiled 1 162 to 314 computations (73% saved)
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