
Time bar (total: 7.3s)
| 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)
| 675.0ms | 8 256× | 0 | valid |
ival-div: 135.0ms (40.8% of total)ival-sub: 132.0ms (39.9% of total)ival-mult: 50.0ms (15.1% 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 |
|---|---|---|---|---|---|
| 20 | 0 | - | 1 | (-1.3274961593823372e+299 -3.717568025569243e-249 5.803272336774662e+145 4.6608782113346113e-175) | (*.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 | 15 | 0 |
*.f64 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | n*u | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 1 |
| - | 0 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 1 |
| - | 0 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 237 |
| 1 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 512× | 0 | valid |
Compiled 87 to 34 computations (60.9% saved)
ival-mult: 87.0ms (87.1% of total)ival-div: 7.0ms (7% of total)ival-sub: 5.0ms (5% 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 11 to 10 computations (9.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.5% | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
Compiled 11 to 10 computations (9.1% 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 t (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.015625 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 4.80694994893115 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 35.0ms | 256× | 0 | valid |
Compiled 38 to 12 computations (68.4% saved)
ival-div: 4.0ms (52% of total)ival-sub: 2.0ms (26% of total)ival-mult: 1.0ms (13% 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) (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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#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 (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#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 (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#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 (+ (* -1 (/ t (- 1 z))) (/ y z)) (taylor 0 t) (#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 (/ 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -1 (/ (* t x) (- 1 z))) (taylor inf 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 (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) (taylor inf 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 (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) (taylor inf 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 (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) (taylor inf 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 (- 1 z))) (taylor inf t) (#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 (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#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 (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#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 (* t (- (/ y (* t z)) (/ 1 (- 1 z)))) (taylor inf t) (#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 (/ 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -1 (/ (* t x) (- 1 z))) (taylor -inf 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 (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) (taylor -inf 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 (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) (taylor -inf 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 (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z))))) (taylor -inf 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 (- 1 z))) (taylor -inf t) (#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 (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#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 (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#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 (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z))))) (taylor -inf t) (#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 (/ 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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 (/ y z) (taylor 0 z) (#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 (/ (+ y (* -1 (* t z))) z) (taylor 0 z) (#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 (/ (+ y (* z (- (* -1 (* t z)) t))) z) (taylor 0 z) (#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 (/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z) (taylor 0 z) (#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 (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ()) |
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#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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((* x (- (/ y z) (/ t (- 1 z)))) (- (/ y z) (/ t (- 1 z))) (/ y z) (/ t (- 1 z)) (- 1 z)) |
| 2.0ms | y | @ | -inf | ((* x (- (/ y z) (/ t (- 1 z)))) (- (/ y z) (/ t (- 1 z))) (/ y z) (/ t (- 1 z)) (- 1 z)) |
| 2.0ms | z | @ | inf | ((* x (- (/ y z) (/ t (- 1 z)))) (- (/ y z) (/ t (- 1 z))) (/ y z) (/ t (- 1 z)) (- 1 z)) |
| 1.0ms | t | @ | -inf | ((* x (- (/ y z) (/ t (- 1 z)))) (- (/ y z) (/ t (- 1 z))) (/ y z) (/ t (- 1 z)) (- 1 z)) |
| 1.0ms | z | @ | -inf | ((* x (- (/ y z) (/ t (- 1 z)))) (- (/ y z) (/ t (- 1 z))) (/ y z) (/ t (- 1 z)) (- 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 | 1296 |
| 1 | 615 | 1218 |
| 2 | 1762 | 1126 |
| 3 | 5521 | 1114 |
| 0 | 8328 | 1097 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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)) |
(/ y z) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(+ (* -1 (/ t (- 1 z))) (/ y z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 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 (- 1 z))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(* t (- (/ y (* t z)) (/ 1 (- 1 z)))) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 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))) |
(* -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))))) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 1 z)) |
(/ t (- 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 z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (- (* -1 (* t z)) t))) z) |
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
t |
(+ t (* t z)) |
(+ t (* z (- (* t z) (* -1 t)))) |
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t)))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 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) |
(/ (- 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -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 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -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)) |
(* -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) |
(/ y z) |
(/ y z) |
(/ y 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 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 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)) |
(* -1 (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(- (/ y z) (/ t (- 1 z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) |
(/ 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) |
(/ y z) |
(/ y z) |
(/ y 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)))))) |
(/ 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 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)))) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* -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) |
(/ 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))) |
(/ 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)) |
(* -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 (- 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))) |
(/ 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)) |
(* -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))) |
(* -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))) |
(/ 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)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/.f64 (*.f64 x (-.f64 y (*.f64 t z))) 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) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* t z))) z) |
(/.f64 (-.f64 y (*.f64 t z)) 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 z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y 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 |
#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) |
(/ (* 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 x z) (+.f64 (/.f64 t z) t) (*.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 (/.f64 x z) z) (+.f64 (/.f64 t z) t) (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t))) 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) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -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 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 (/ (* 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) |
(* -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) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y 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 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (/ (* 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) |
(* -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 z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* 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) |
(/ 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) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -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) |
(/ 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 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) |
| 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) x) (pow.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) |
(*.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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) x) (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t z))) (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t z))) (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))))) |
(/.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 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) |
(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) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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 (-.f64 #s(literal 1 binary64) z)) (/.f64 t 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)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 t z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)) |
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(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #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 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #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) (pow.f64 z #s(literal 3 binary64))))) (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)) (pow.f64 z #s(literal 3 binary64)))) (*.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) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.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 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.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 8 627 to 1 188 computations (86.2% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 19 | 419 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 401 | 19 | 420 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.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)) | |
| 55.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) | |
| 92.2% | (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) | |
| ▶ | 76.7% | (*.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)) |
| 70.3% | (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) | |
| ▶ | 92.4% | (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
| 67.7% | (*.f64 x (/.f64 (fma.f64 (neg.f64 t) (/.f64 z y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z y)))) | |
| ▶ | 68.0% | (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
| 92.3% | (*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) | |
| 56.1% | (*.f64 x (-.f64 (/.f64 y z) #s(approx (/ t (- 1 z)) (fma.f64 t z t)))) | |
| 92.4% | (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) | |
| 66.5% | (*.f64 x (*.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))))) | |
| 63.7% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (-.f64 y (*.f64 t z)) z))) | |
| 75.4% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) | |
| 60.5% | (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) | |
| ▶ | 65.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
| ▶ | 67.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
| 64.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) | |
| 38.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) |
Compiled 512 to 406 computations (20.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 192 | (*.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)) | |
| cost-diff | 320 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) | |
| cost-diff | 320 | (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) | |
| cost-diff | 128 | (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 192 | (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) | |
| cost-diff | 0 | (-.f64 y (*.f64 t z)) | |
| cost-diff | 0 | (*.f64 x (-.f64 y (*.f64 t z))) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) | |
| cost-diff | 320 | (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) z) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) | |
| cost-diff | 5952 | (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) |
| 8 204× | lower-fma.f32 |
| 8 198× | lower-fma.f64 |
| 3 318× | lower-*.f32 |
| 3 304× | lower-*.f64 |
| 1 986× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 225 |
| 0 | 60 | 212 |
| 1 | 118 | 212 |
| 2 | 224 | 207 |
| 3 | 421 | 200 |
| 4 | 977 | 196 |
| 5 | 3465 | 196 |
| 6 | 7338 | 196 |
| 0 | 8109 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
x |
(fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) |
t |
(pow.f64 (+.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)))) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
(/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) |
(*.f64 x (-.f64 y (*.f64 t z))) |
x |
(-.f64 y (*.f64 t z)) |
y |
(*.f64 t z) |
t |
z |
(*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
x |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) |
y |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 t z) |
t |
(*.f64 z (+.f64 #s(literal -1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) |
(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 |
(/.f64 x z) |
x |
| Outputs |
|---|
(*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
x |
(fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
t |
(pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal -1 binary64) |
z |
(/.f64 y z) |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 x z) y) |
(*.f64 y x) |
y |
x |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (-.f64 (/.f64 y z) t) x)) |
(/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(*.f64 x (-.f64 y (*.f64 t z))) |
(*.f64 (-.f64 y (*.f64 z t)) x) |
x |
(-.f64 y (*.f64 t z)) |
(-.f64 y (*.f64 z t)) |
y |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
(*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
x |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) |
(fma.f64 (+.f64 y t) z (neg.f64 y)) |
y |
(+.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal -1 binary64) |
z |
(*.f64 t z) |
(*.f64 z t) |
t |
(*.f64 z (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) 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 (/.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)) (-.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) t y) |
(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 |
(/.f64 x z) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.2656222476055602 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) | |
| accuracy | 6.551587679287568 | (*.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)) | |
| accuracy | 13.073737199137057 | (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.01171875 | (*.f64 z (+.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.2656222476055602 | (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) | |
| accuracy | 4.80694994893115 | (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 18.111400768292167 | (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) | |
| accuracy | 0.015625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 2.1537139311992726 | (*.f64 x (-.f64 y (*.f64 t z))) | |
| accuracy | 5.576156264787753 | (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) | |
| accuracy | 19.536449587180126 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 2.64541797045996 | (/.f64 (*.f64 y x) z) | |
| accuracy | 21.09190407469389 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) | |
| accuracy | 0 | (+.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.00390625 | (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) | |
| accuracy | 4.80694994893115 | (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
| 75.0ms | 256× | 0 | valid |
Compiled 219 to 36 computations (83.6% saved)
ival-mult: 29.0ms (53.4% of total)ival-div: 11.0ms (20.2% of total)ival-pow: 5.0ms (9.2% of total)ival-add: 4.0ms (7.4% of total)ival-sub: 3.0ms (5.5% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) (patch (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #<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 (*.f64 y x) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation:binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) (patch (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) #<representation:binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (-.f64 y (*.f64 t z))) (patch (*.f64 x (-.f64 y (*.f64 t z))) #<representation:binary64>) () ()) |
#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (patch (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z)) (patch (*.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)) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation:binary64>) () ()) |
#s(alt (*.f64 z (+.f64 #s(literal -1 binary64) z)) (patch (*.f64 z (+.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 t) (#s(alt (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) (patch (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) (patch (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) (patch (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) (patch (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) (patch (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) (patch (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) (patch (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) (patch (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt (*.f64 x (-.f64 y (*.f64 t z))) (patch (*.f64 x (-.f64 y (*.f64 t z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (*.f64 x (-.f64 y (*.f64 t z))) (patch (*.f64 x (-.f64 y (*.f64 t z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (*.f64 x (-.f64 y (*.f64 t z))) (patch (*.f64 x (-.f64 y (*.f64 t z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (*.f64 x (-.f64 y (*.f64 t z))) (patch (*.f64 x (-.f64 y (*.f64 t z))) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- z 1)) (taylor 0 t) (#s(alt (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (patch (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (- z 1))) (taylor 0 t) (#s(alt (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (patch (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (- z 1))) (taylor 0 t) (#s(alt (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (patch (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (- z 1))) (taylor 0 t) (#s(alt (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (patch (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ (* t z) (- 1 z)))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ (* t z) (- 1 z)))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ (* t z) (- 1 z)))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor 0 t) (#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 (+ (* -1 (* t z)) (* y (- 1 z))) (taylor 0 t) (#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 (+ (* -1 (* t z)) (* y (- 1 z))) (taylor 0 t) (#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>) () ())) ()) |
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#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | -inf | ((+ (* t (pow (+ -1 z) -1)) (/ y z)) (* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (pow (+ -1 z) -1) (+ -1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* y x) z) (* y x) (/ (* x (- y (* t z))) z) (* x (- (/ y z) (/ t (- 1 z)))) (* x (- y (* t z))) (- y (* t z)) (+ (* y (+ -1 z)) (* t z)) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ (* (- 1 z) y) (* (neg z) t)) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (- 1 z) (* z (+ -1 z)) (neg z)) |
| 12.0ms | y | @ | inf | ((+ (* t (pow (+ -1 z) -1)) (/ y z)) (* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (pow (+ -1 z) -1) (+ -1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* y x) z) (* y x) (/ (* x (- y (* t z))) z) (* x (- (/ y z) (/ t (- 1 z)))) (* x (- y (* t z))) (- y (* t z)) (+ (* y (+ -1 z)) (* t z)) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ (* (- 1 z) y) (* (neg z) t)) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (- 1 z) (* z (+ -1 z)) (neg z)) |
| 10.0ms | t | @ | -inf | ((+ (* t (pow (+ -1 z) -1)) (/ y z)) (* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (pow (+ -1 z) -1) (+ -1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* y x) z) (* y x) (/ (* x (- y (* t z))) z) (* x (- (/ y z) (/ t (- 1 z)))) (* x (- y (* t z))) (- y (* t z)) (+ (* y (+ -1 z)) (* t z)) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ (* (- 1 z) y) (* (neg z) t)) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (- 1 z) (* z (+ -1 z)) (neg z)) |
| 5.0ms | x | @ | 0 | ((+ (* t (pow (+ -1 z) -1)) (/ y z)) (* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (pow (+ -1 z) -1) (+ -1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* y x) z) (* y x) (/ (* x (- y (* t z))) z) (* x (- (/ y z) (/ t (- 1 z)))) (* x (- y (* t z))) (- y (* t z)) (+ (* y (+ -1 z)) (* t z)) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ (* (- 1 z) y) (* (neg z) t)) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (- 1 z) (* z (+ -1 z)) (neg z)) |
| 5.0ms | y | @ | -inf | ((+ (* t (pow (+ -1 z) -1)) (/ y z)) (* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (pow (+ -1 z) -1) (+ -1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* y x) z) (* y x) (/ (* x (- y (* t z))) z) (* x (- (/ y z) (/ t (- 1 z)))) (* x (- y (* t z))) (- y (* t z)) (+ (* y (+ -1 z)) (* t z)) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ (* (- 1 z) y) (* (neg z) t)) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (- 1 z) (* z (+ -1 z)) (neg z)) |
| 1× | egg-herbie |
| 10 726× | lower-fma.f64 |
| 10 726× | lower-fma.f32 |
| 3 762× | lower-*.f64 |
| 3 762× | lower-*.f32 |
| 2 482× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 570 | 7006 |
| 1 | 1912 | 6378 |
| 2 | 5992 | 6301 |
| 0 | 8353 | 6122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x 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)) |
(/ (* x y) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x 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)) |
(* x y) |
(+ (* -1 (* t (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* y (- z 1)) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
y |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(* y (- 1 z)) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* 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)) |
(/ t (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t 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)))) |
(* -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)) |
(* 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 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 z))) |
(* t (+ (* -1 (* x z)) (/ (* x y) t))) |
(* t (+ (* -1 (* x z)) (/ (* x y) t))) |
(* t (+ (* -1 (* x z)) (/ (* x y) t))) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t z) |
(* t (+ z (/ (* y (- z 1)) t))) |
(* t (+ z (/ (* y (- z 1)) t))) |
(* t (+ z (/ (* y (- z 1)) t))) |
(/ t (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t 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)))) |
(* -1 (/ (* t z) (- 1 z))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(* t (+ (* -1 z) (/ (* y (- 1 z)) t))) |
(* -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)))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(/ (* 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)))))) |
(* -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 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 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 (* x z))) |
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* x z)))) |
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* x z)))) |
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* x z)))) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(/ (* 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)))))) |
(* -1 (/ (* t z) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
(* -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))))) |
(* -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))))) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z) |
(/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) 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) |
-1 |
(- (* -1 z) 1) |
(- (* z (- (* -1 z) 1)) 1) |
(- (* z (- (* z (- (* -1 z) 1)) 1)) 1) |
-1 |
(- z 1) |
(- z 1) |
(- z 1) |
(/ (* 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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) |
(/ (* 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 (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 y) |
(+ (* -1 y) (* z (+ t y))) |
(+ (* -1 y) (* z (+ t y))) |
(+ (* -1 y) (* z (+ t y))) |
(/ y z) |
(/ (+ y (* z (- (* -1 (+ t y)) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* -1 (+ t y)) (* -1 y)))) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* z (- (* -1 (+ t y)) (* -1 y))) (* -1 (- (* -1 (+ t y)) (* -1 y)))))) (* -1 y)))) 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) |
y |
(+ y (* -1 (* t z))) |
(+ y (* z (+ (* -1 t) (* -1 (* t z))))) |
(+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) |
y |
(+ y (* z (+ (* -1 t) (* -1 y)))) |
(+ y (* z (+ (* -1 t) (* -1 y)))) |
(+ y (* z (+ (* -1 t) (* -1 y)))) |
(/ (* 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 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- z 1)) |
(* z (- z 1)) |
(* z (- z 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (+ t y) z) |
(/ (+ t (+ y (/ t z))) z) |
(/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z) |
(/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) 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 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) |
z |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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)) |
(/ (* 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 (* t (* x z))) |
(* z (+ (* -1 (* t x)) (/ (* x y) z))) |
(* z (+ (* -1 (* t x)) (/ (* x y) z))) |
(* z (+ (* -1 (* t x)) (/ (* x y) z))) |
(* -1 (* t z)) |
(* z (- (/ y z) t)) |
(* z (- (/ y z) t)) |
(* z (- (/ y z) t)) |
(* z (+ t y)) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(/ (+ t y) z) |
(/ (- (+ t (+ y (* -1 (/ y z)))) (* -1 (/ (+ t y) z))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2)))))) (+ (* -1 (/ (+ t y) z)) (* -1 (/ (+ t y) (pow z 2))))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3)))))) (+ (* -1 (/ (+ t y) z)) (+ (* -1 (/ (+ t y) (pow z 3))) (* -1 (/ (- (* -1 y) (* -1 (+ t y))) (pow z 2)))))) 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) |
(* -1 (+ (* -1 t) (* -1 y))) |
(+ (* -1 (+ (* -1 t) (* -1 y))) (/ t z)) |
(- (+ (* -1 (+ (* -1 t) (* -1 y))) (/ t (pow z 2))) (* -1 (/ t z))) |
(- (+ (* -1 (+ (* -1 t) (* -1 y))) (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) |
(* z (+ (* -1 t) (* -1 y))) |
(* z (+ (* -1 t) (+ (* -1 y) (/ y z)))) |
(* z (+ (* -1 t) (+ (* -1 y) (/ y z)))) |
(* z (+ (* -1 t) (+ (* -1 y) (/ 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) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(pow z 2) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 (/ (* 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 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)) |
z |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -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) |
(/ (* x y) z) |
(/ (* x y) 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 (/ (* 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)) |
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(* -1 (* z (+ (* -1 (/ (* x y) z)) (* t x)))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* t x)))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* t x)))) |
(* -1 (* t z)) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* -1 (* z (+ (* -1 t) (* -1 y)))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (/ t z) (* -1 t)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ t z)) t) z)) (* -1 t)) z)))) z)) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(+ t y) |
(+ t (+ y (/ t z))) |
(+ t (+ y (* -1 (/ (- (* -1 (/ t z)) t) z)))) |
(+ t (+ y (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) 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)))))) |
(/ (* 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 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(pow z 2) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ 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)) |
(* -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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -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 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 z))) |
(+ (* -1 (* t (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
(+ (* -1 (* t (* x z))) (* x y)) |
(* -1 (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(* t z) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ 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)) |
(* -1 (/ (* t z) (- 1 z))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* y (- 1 z))) |
(+ (* -1 (* t z)) (* y (- 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)) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(/ (* 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) |
(* 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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) |
(* 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) |
(* y (+ x (* -1 (/ (* t (* x z)) y)))) |
(* y (+ x (* -1 (/ (* t (* x z)) y)))) |
(* y (+ x (* -1 (/ (* t (* x z)) y)))) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (- z 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(/ (* 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))))) |
y |
(* y (+ 1 (* -1 (/ (* t z) (* y (- 1 z)))))) |
(* y (+ 1 (* -1 (/ (* t z) (* y (- 1 z)))))) |
(* y (+ 1 (* -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)) |
(/ (* 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))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(/ (* 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) |
(* -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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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 (* 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) |
(* -1 (* y (+ (* -1 x) (/ (* t (* x z)) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t (* x z)) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t (* x z)) y)))) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* y (- z 1)) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(/ (* 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))))))) |
y |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
(* 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)))) |
(/ (* 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 (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) 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 (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* 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 (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) 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 (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* 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 (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) 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 (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(* x (- y (* t z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* 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))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (/ t (- z 1)) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (/ t (- z 1)) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(+ (/ t (- z 1)) (/ y z)) |
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) |
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(*.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) t) z y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) t) z y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) t) z y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) t) z y) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) z))) |
| 5 380× | lower-*.f32 |
| 5 364× | lower-*.f64 |
| 5 058× | lower-/.f32 |
| 5 046× | lower-/.f64 |
| 2 206× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 184 |
| 0 | 60 | 184 |
| 1 | 249 | 176 |
| 2 | 2028 | 176 |
| 0 | 8449 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
(pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
(/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
(*.f64 x (-.f64 y (*.f64 t z))) |
(-.f64 y (*.f64 t z)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) (-.f64 #s(literal 1 binary64) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) |
(*.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 #s(literal 1 binary64) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) z)) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) (*.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) |
(/.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))))) |
(/.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))) (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64)))))) |
(fma.f64 (/.f64 t (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y z)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) (/.f64 y z)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y z)) |
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) (/.f64 y z)) |
(fma.f64 (*.f64 t (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 y z)) |
(fma.f64 (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) t) (/.f64 y z)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) y (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y z) #s(literal 1 binary64) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) t (/.f64 y z)) |
(fma.f64 t (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) |
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) |
(*.f64 x (+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) |
(*.f64 (+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) x) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))) x)) (neg.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 x (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) (*.f64 (/.f64 x z) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) (*.f64 (/.f64 x z) y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) x) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64))) x) (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z))) |
(/.f64 (*.f64 x (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) (*.f64 (/.f64 x z) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x) (*.f64 (/.f64 x z) y))))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (*.f64 x (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) t (*.f64 (/.f64 x z) y)) |
(fma.f64 (*.f64 x t) (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x z) y)) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x y) (*.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) x)) |
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(fma.f64 (/.f64 x z) y (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (/.f64 x z) y (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 x (/.f64 y z) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (/.f64 y z) (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (/.f64 y z) (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (/.f64 y z) x (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 y (/.f64 x z) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 y (/.f64 x z) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)) x)) |
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 x (/.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.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) (pow.f64 z #s(literal 3 binary64))))) (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)) (pow.f64 z #s(literal 3 binary64)))) (*.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) (neg.f64 z)))) |
(/.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) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (neg.f64 z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
(*.f64 (+.f64 z #s(literal -1 binary64)) z) |
(*.f64 z (+.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) z)) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (neg.f64 z) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) z)) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) z) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) 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 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64))) (-.f64 (neg.f64 z) (*.f64 z z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z z (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (neg.f64 z)) |
(fma.f64 z z (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 z z)) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 (neg.f64 z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (neg.f64 z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 z z))) |
(+.f64 (*.f64 z z) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 z z)) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 27 900 to 3 079 computations (89% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 525 | 10 | 1 535 |
| Fresh | 12 | 2 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 540 | 14 | 1 554 |
| Status | Accuracy | Program |
|---|---|---|
| 71.0% | (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) | |
| ▶ | 76.2% | (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
| 63.8% | (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) #s(literal -1 binary64)) (/.f64 y z))) | |
| 49.3% | (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) | |
| ▶ | 75.4% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
| ▶ | 60.5% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
| ✓ | 65.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
| ✓ | 67.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
| 64.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) | |
| 38.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) | |
| 61.1% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) | |
| ▶ | 61.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
| 60.8% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) | |
| ▶ | 20.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
Compiled 216 to 222 computations (-2.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 x (/.f64 z y)) | |
| cost-diff | 0 | (+.f64 t y) | |
| cost-diff | 0 | (/.f64 (+.f64 t y) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) x) | |
| cost-diff | 0 | #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
| 6 480× | lower-fma.f32 |
| 6 478× | lower-fma.f64 |
| 2 868× | lower-*.f32 |
| 2 860× | lower-*.f64 |
| 1 588× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 0 | 52 | 228 |
| 1 | 104 | 228 |
| 2 | 177 | 224 |
| 3 | 275 | 218 |
| 4 | 467 | 216 |
| 5 | 1274 | 208 |
| 6 | 3790 | 208 |
| 7 | 6158 | 208 |
| 8 | 7123 | 208 |
| 9 | 7327 | 208 |
| 10 | 7409 | 208 |
| 11 | 7497 | 208 |
| 12 | 7931 | 208 |
| 0 | 8153 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
x |
(fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
t |
#s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) |
(/.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 (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) |
(*.f64 (neg.f64 t) x) |
(neg.f64 t) |
t |
x |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) |
(/.f64 (+.f64 t y) z) |
(+.f64 t y) |
t |
y |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
(/.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
y |
| Outputs |
|---|
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(*.f64 (fma.f64 #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) t (/.f64 y z)) x) |
x |
(fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(fma.f64 #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) t (/.f64 y z)) |
t |
#s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) |
(/.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 (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) |
(*.f64 (neg.f64 t) x) |
(neg.f64 t) |
t |
x |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
(*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) x) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
(*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 y t) z)) x) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 y t) z)) |
(/.f64 (+.f64 t y) z) |
(/.f64 (+.f64 y t) z) |
(+.f64 t y) |
(+.f64 y t) |
t |
y |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 y z) x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 y z) x) |
x |
(/.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 6.9683345859271375 | (/.f64 x (/.f64 z y)) | |
| accuracy | 21.09190407469389 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) | |
| accuracy | 0 | (+.f64 t y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 t y) z) | |
| accuracy | 4.80694994893115 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) | |
| accuracy | 12.819320418626356 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 4.80694994893115 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) | |
| accuracy | 22.41653817225426 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) | |
| accuracy | 0 | (*.f64 (neg.f64 t) x) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 19.536449587180126 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) | |
| accuracy | 31.95621363337007 | #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0625 | (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) | |
| accuracy | 4.80694994893115 | (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) | |
| accuracy | 31.439506580699458 | #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) |
| 70.0ms | 256× | 0 | valid |
Compiled 174 to 34 computations (80.5% saved)
ival-mult: 15.0ms (32.1% of total)ival-div: 13.0ms (27.8% of total)ival-pow: 9.0ms (19.2% of total)ival-add: 6.0ms (12.8% of total)ival-sub: 3.0ms (6.4% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ()) |
#s(alt #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (pow (+ -1 z) -1) (/.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 (- y (* t z))) z) (*.f64 (neg.f64 t) x))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) (patch #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) x) (patch (*.f64 (neg.f64 t) x) #<representation:binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) #<representation:binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (+.f64 t y) z) (patch (/.f64 (+.f64 t y) z) #<representation:binary64>) () ()) |
#s(alt (+.f64 t y) (patch (+.f64 t y) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) (patch #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) (patch #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) (patch #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) (patch #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* t x)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) x) (patch (*.f64 (neg.f64 t) x) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (+.f64 t y) z) (patch (/.f64 (+.f64 t y) z) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (/ t z) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (+.f64 t y) z) (patch (/.f64 (+.f64 t y) z) #<representation:binary64>) () ())) ()) |
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#s(alt y (taylor 0 t) (#s(alt (+.f64 t y) (patch (+.f64 t y) #<representation:binary64>) () ())) ()) |
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#s(alt (+ t y) (taylor 0 t) (#s(alt (+.f64 t y) (patch (+.f64 t y) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* t x) (- z 1)) (taylor inf t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
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#s(alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) (taylor inf t) (#s(alt (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) (patch (*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ t (- z 1)) (taylor inf t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (* t (+ (/ 1 (- z 1)) (/ y (* t z)))) (taylor inf t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
#s(alt (* t (+ (/ 1 (- z 1)) (/ y (* t z)))) (taylor inf t) (#s(alt (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ y z) (/ t (- 1 z)))) (taylor -inf x) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (+ (* t (pow (+ -1 z) -1)) (/ y z)) (pow (+ -1 z) -1) (/ 1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* (neg t) x) (neg t) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ y z) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ (+ t y) z) (+ t y) (/ x (/ z y)) (* x (- (/ y z) (/ t (- 1 z)))) (/ z y)) |
| 4.0ms | t | @ | inf | ((* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (+ (* t (pow (+ -1 z) -1)) (/ y z)) (pow (+ -1 z) -1) (/ 1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* (neg t) x) (neg t) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ y z) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ (+ t y) z) (+ t y) (/ x (/ z y)) (* x (- (/ y z) (/ t (- 1 z)))) (/ z y)) |
| 3.0ms | x | @ | -inf | ((* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (+ (* t (pow (+ -1 z) -1)) (/ y z)) (pow (+ -1 z) -1) (/ 1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* (neg t) x) (neg t) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ y z) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ (+ t y) z) (+ t y) (/ x (/ z y)) (* x (- (/ y z) (/ t (- 1 z)))) (/ z y)) |
| 3.0ms | x | @ | 0 | ((* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (+ (* t (pow (+ -1 z) -1)) (/ y z)) (pow (+ -1 z) -1) (/ 1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* (neg t) x) (neg t) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ y z) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ (+ t y) z) (+ t y) (/ x (/ z y)) (* x (- (/ y z) (/ t (- 1 z)))) (/ z y)) |
| 2.0ms | y | @ | -inf | ((* x (+ (* t (pow (+ -1 z) -1)) (/ y z))) (+ (* t (pow (+ -1 z) -1)) (/ y z)) (pow (+ -1 z) -1) (/ 1 z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* (neg t) x) (neg t) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ y z) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/ (+ t y) z) (+ t y) (/ x (/ z y)) (* x (- (/ y z) (/ t (- 1 z)))) (/ z y)) |
| 1× | egg-herbie |
| 12 624× | lower-fma.f64 |
| 12 624× | lower-fma.f32 |
| 3 900× | lower-*.f64 |
| 3 900× | lower-*.f32 |
| 3 072× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 6155 |
| 1 | 1340 | 5747 |
| 2 | 4043 | 5560 |
| 0 | 8394 | 5363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ 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)) |
(/ (* x y) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ y z) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
y |
(+ t y) |
(+ t y) |
(+ t y) |
(/ (* 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)) |
(/ (* 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 (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t 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)) |
(* 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 (* t x)) |
(* -1 (* t x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* 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 (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t 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 (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(/ t z) |
(* t (+ (/ 1 z) (/ y (* t z)))) |
(* t (+ (/ 1 z) (/ y (* t z)))) |
(* t (+ (/ 1 z) (/ y (* t z)))) |
t |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
(* -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)))) |
(/ (* 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)))))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -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 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 x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* 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)))))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(/ (* 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)))))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(/ t z) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 z)))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 z)))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 z)))) |
t |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -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) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z) |
(/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) z) |
-1 |
(- (* -1 z) 1) |
(- (* z (- (* -1 z) 1)) 1) |
(- (* z (- (* z (- (* -1 z) 1)) 1)) 1) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 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) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) 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) |
(/ y z) |
(/ (+ y (* z (- (* -1 (+ t y)) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* -1 (+ t y)) (* -1 y)))) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* z (- (* -1 (+ t y)) (* -1 y))) (* -1 (- (* -1 (+ t y)) (* -1 y)))))) (* -1 y)))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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) |
(/ y z) |
(/ (+ y (* z (- (* -1 (+ t y)) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* -1 (+ t y)) (* -1 y)))) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* z (- (* -1 (+ t y)) (* -1 y))) (* -1 (- (* -1 (+ t y)) (* -1 y)))))) (* -1 y)))) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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) |
(/ (+ t y) z) |
(/ (+ t (+ y (/ t z))) z) |
(/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z) |
(/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z) |
(/ 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 z) |
(/ 1 z) |
(/ 1 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 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* 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) |
(/ (+ t y) z) |
(/ (- (+ t (+ y (* -1 (/ y z)))) (* -1 (/ (+ t y) z))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2)))))) (+ (* -1 (/ (+ t y) z)) (* -1 (/ (+ t y) (pow z 2))))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3)))))) (+ (* -1 (/ (+ t y) z)) (+ (* -1 (/ (+ t y) (pow z 3))) (* -1 (/ (- (* -1 y) (* -1 (+ t y))) (pow z 2)))))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) |
(/ (+ t y) z) |
(/ (- (+ t (+ y (* -1 (/ y z)))) (* -1 (/ (+ t y) z))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2)))))) (+ (* -1 (/ (+ t y) z)) (* -1 (/ (+ t y) (pow z 2))))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3)))))) (+ (* -1 (/ (+ t y) z)) (+ (* -1 (/ (+ t y) (pow z 3))) (* -1 (/ (- (* -1 y) (* -1 (+ t y))) (pow z 2)))))) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -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 (/ (+ (* -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 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 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (/ t z) (* -1 t)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ t z)) t) z)) (* -1 t)) z)))) z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (/ t z) (* -1 t)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ t z)) t) z)) (* -1 t)) z)))) z)) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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)) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 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)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(+ (* -1 (* t x)) (/ (* 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)) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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)) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(/ t z) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
t |
(+ t y) |
(+ t y) |
(+ t y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(/ (* 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) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x 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))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y z)))) |
(* y (+ (/ 1 z) (/ t (* y z)))) |
(* y (+ (/ 1 z) (/ t (* y z)))) |
y |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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))))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 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 (* 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 (* 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))))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* 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))))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
y |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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)))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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 (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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 (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(* x (+ (/ t (- z 1)) (/ 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(* -1 (* t x)) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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)))) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ y z) |
(/.f64 y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* -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 x) z) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(+ (* -1 (* t x)) (/ (* x y) z)) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ y z) |
(/.f64 y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(/ y z) |
(/.f64 y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+.f64 (/.f64 t (-.f64 z #s(literal 1 binary64))) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
y |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
(+ t y) |
(+.f64 t y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* -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) |
(/ (* t x) (- z 1)) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(/ t (- z 1)) |
(/.f64 t (-.f64 z #s(literal 1 binary64))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64)))) |
(* -1 (/ (* t x) (- 1 z))) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) t) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y z) t) t (/.f64 t (-.f64 z #s(literal 1 binary64))))) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y z) t) x (neg.f64 x)) t) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y z) t) x (neg.f64 x)) t) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y z) t) x (neg.f64 x)) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
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(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) 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 (+ (/ t (- z 1)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (+ (/ t (- z 1)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
(* x (+ (/ t (- z 1)) (/ y 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 (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(* -1 (* t x)) |
(*.f64 (neg.f64 x) t) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (*.f64 t z)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) 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) |
| 5 650× | lower-*.f32 |
| 5 642× | lower-*.f64 |
| 4 852× | lower-/.f32 |
| 4 842× | lower-/.f64 |
| 3 878× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 208 |
| 0 | 52 | 208 |
| 1 | 233 | 208 |
| 2 | 1829 | 208 |
| 0 | 8925 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(fma.f64 t #s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
#s(approx (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x)) |
(*.f64 (neg.f64 t) x) |
(neg.f64 t) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) |
(/.f64 (+.f64 t y) z) |
(+.f64 t y) |
(/.f64 x (/.f64 z y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
(/.f64 z y) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (/.f64 y z)) x) |
(*.f64 x (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (/.f64 y z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) x)) (neg.f64 (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (neg.f64 (/.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 3/2 binary64))) x)) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) (/.f64 y z)) (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y z)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))) (neg.f64 (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (neg.f64 (/.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 x (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) (/.f64 y z)) (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) x) (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (neg.f64 (/.f64 y z)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 3/2 binary64))) x) (-.f64 (hypot.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) (/.f64 y z)) (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y z))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t (neg.f64 (/.f64 y z)))) |
(/.f64 (*.f64 x (hypot.f64 (pow.f64 (/.f64 z y) #s(literal -3/2 binary64)) (pow.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) (/.f64 y z)) (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x))))) |
(fma.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 x (neg.f64 z)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) t (*.f64 (/.f64 y z) x)) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x z) y (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 y z) x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) x (*.f64 (/.f64 y z) x)) |
(fma.f64 (/.f64 y z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y z) x (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 y (/.f64 x z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) (*.f64 t x) (*.f64 (/.f64 y z) x)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(fma.f64 t (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) x) (*.f64 (/.f64 y z) x)) |
(fma.f64 x (*.f64 #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))) t) (*.f64 (/.f64 y z) x)) |
(fma.f64 x (/.f64 y z) (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x))) (/.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 t x) #s(approx (pow (+ -1 z) -1) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 y z) x)))) |
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(*.f64 (/.f64 (*.f64 (+.f64 y t) (-.f64 t y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (+.f64 y t) (-.f64 t y)) z) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) z) (/.f64 (pow.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y t) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 y t) (-.f64 t y))) #s(literal -1 binary64)) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y t) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (+.f64 y t) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (+.f64 y t) z) (/.f64 (-.f64 t y) (-.f64 t y))) |
(*.f64 (/.f64 (+.f64 y t) z) #s(literal 1 binary64)) |
(*.f64 (+.f64 y t) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 y t)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y t) z)) |
(pow.f64 (/.f64 (/.f64 z (+.f64 y t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (+.f64 y t)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (-.f64 t y))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y t) #s(literal -1 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y t) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 y t)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 t y) z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 t y) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) z))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) (neg.f64 z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) (pow.f64 z #s(literal -1 binary64))) (-.f64 t y)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal -1 binary64))) (-.f64 (hypot.f64 t y) (*.f64 y t))) |
(/.f64 (*.f64 (+.f64 y t) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (+.f64 y t) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y t))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y t) (-.f64 t y))) (neg.f64 (*.f64 z (-.f64 t y)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (*.f64 z (-.f64 (hypot.f64 t y) (*.f64 y t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) #s(literal 1 binary64)) (*.f64 (-.f64 t y) z)) |
(/.f64 (*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) #s(literal -1 binary64)) (*.f64 (-.f64 t y) (neg.f64 z))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) z)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 y t) (-.f64 t y)) (*.f64 z (-.f64 t y))) |
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 z (-.f64 (hypot.f64 t y) (*.f64 y t)))) |
(/.f64 (neg.f64 (+.f64 y t)) (neg.f64 z)) |
(/.f64 (+.f64 y t) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (+.f64 y t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 y t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 y t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (+.f64 y t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (+.f64 y t)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 y t)) z)) |
(neg.f64 (/.f64 (+.f64 y t) (neg.f64 z))) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 z (-.f64 t y))) (/.f64 (*.f64 y y) (*.f64 z (-.f64 t y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (+.f64 y t) (neg.f64 z))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (-.f64 t y)) z) (/.f64 (/.f64 (*.f64 y y) (-.f64 t y)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 y t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y t) (-.f64 t y)) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 t y) (*.f64 (+.f64 y t) (-.f64 t y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 t t))) (neg.f64 (-.f64 y t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y t) (-.f64 t y)))) (neg.f64 (neg.f64 (-.f64 t y)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 y t))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) (-.f64 t y)) (*.f64 (-.f64 t y) (*.f64 y y))) (*.f64 (-.f64 t y) (-.f64 t y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 t t)) (-.f64 y t)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y t) (-.f64 t y))) (neg.f64 (-.f64 t y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 t t) (*.f64 y t))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)))) |
(/.f64 (*.f64 (+.f64 y t) (-.f64 t y)) (-.f64 t y)) |
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (*.f64 t t) (*.f64 y t)))) |
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (hypot.f64 t y) (*.f64 y t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t y) (*.f64 (+.f64 y t) (-.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 t y) (*.f64 (+.f64 y t) (-.f64 t y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 t y) (*.f64 y t)) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y t)) (/.f64 (*.f64 t t) (-.f64 y t))) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t y)) (/.f64 (*.f64 y y) (-.f64 t y))) |
(+.f64 y t) |
(+.f64 t y) |
(*.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) y) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 y (/.f64 x z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 z y)) |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 x y) z) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 z y)) |
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 z y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) x))) |
(/.f64 x (/.f64 z y)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 x (/.f64 (neg.f64 z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) x)) #s(literal -1 binary64))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 z (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
Compiled 12 808 to 1 505 computations (88.2% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 985 | 4 | 989 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 988 | 15 | 1 003 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.0% | (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
| ▶ | 49.3% | (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
| ✓ | 75.4% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
| ✓ | 60.5% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
| ▶ | 75.4% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
| 34.3% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) | |
| 64.0% | #s(approx (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) | |
| ✓ | 65.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
| ✓ | 67.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
| 38.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) | |
| 61.1% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) | |
| ✓ | 61.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
| ▶ | 60.8% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
| ✓ | 20.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
| ▶ | 63.8% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
Compiled 204 to 210 computations (-2.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 z #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (+.f64 t y) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) | |
| cost-diff | 0 | (-.f64 (/.f64 y z) t) | |
| cost-diff | 0 | (*.f64 x (-.f64 (/.f64 y z) t)) | |
| cost-diff | 0 | #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t))) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) | |
| cost-diff | 0 | (neg.f64 (+.f64 y t)) | |
| cost-diff | 0 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) |
| 6 562× | lower-fma.f64 |
| 6 562× | lower-fma.f32 |
| 2 466× | lower-*.f32 |
| 2 450× | lower-*.f64 |
| 1 658× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 296 |
| 0 | 68 | 296 |
| 1 | 133 | 291 |
| 2 | 246 | 280 |
| 3 | 508 | 267 |
| 4 | 1070 | 259 |
| 5 | 2651 | 255 |
| 6 | 5191 | 255 |
| 7 | 7194 | 255 |
| 0 | 8069 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (+.f64 y t)) |
(+.f64 y t) |
y |
t |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (/ (* x (- y (* t z))) 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 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
#s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) |
(+.f64 t y) |
t |
y |
(/.f64 x z) |
x |
z |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
x |
(/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
#s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) y) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
y |
(*.f64 z (+.f64 #s(literal -1 binary64) z)) |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) x) |
x |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z)) |
(*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (+.f64 t y) z) |
(neg.f64 (+.f64 y t)) |
(neg.f64 (+.f64 t y)) |
(+.f64 y t) |
(+.f64 t y) |
y |
t |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) |
#s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t))) |
#s(approx (/ (* x (- y (* t z))) 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 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
#s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) |
(+.f64 t y) |
t |
y |
(/.f64 x z) |
x |
z |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (/.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) |
x |
(/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 (-.f64 z #s(literal 1 binary64)) z)) |
#s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) y) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
y |
(*.f64 z (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) z) |
(+.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 z (+.f64 #s(literal -1 binary64) z)) | |
| accuracy | 4.80694994893115 | (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 18.111400768292167 | (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) | |
| accuracy | 23.90555887472419 | #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (+.f64 t y) | |
| accuracy | 6.551587679287568 | (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) | |
| accuracy | 14.129880456313446 | #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) | |
| accuracy | 0 | (-.f64 (/.f64 y z) t) | |
| accuracy | 0 | #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t))) | |
| accuracy | 3.6232667210563383 | (*.f64 x (-.f64 (/.f64 y z) t)) | |
| accuracy | 19.536449587180126 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 5.105922497684799 | (*.f64 (/.f64 x z) y) | |
| accuracy | 21.09190407469389 | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) | |
| accuracy | 0 | (neg.f64 (+.f64 y t)) | |
| accuracy | 0.16015625 | (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 4.80694994893115 | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 12.819320418626356 | #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) |
| 73.0ms | 256× | 0 | valid |
Compiled 222 to 40 computations (82% saved)
ival-mult: 20.0ms (37.5% of total)ival-div: 19.0ms (35.6% of total)ival-sub: 6.0ms (11.2% of total)ival-add: 6.0ms (11.2% of total)ival-neg: 2.0ms (3.7% 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 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (+.f64 y t)) (patch (neg.f64 (+.f64 y t)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ()) |
#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t))) (patch #s(approx (/ (* x (- y (* t z))) 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(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) (patch (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (patch #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) #<representation:binary64>) () ()) |
#s(alt (+.f64 t y) (patch (+.f64 t y) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) (patch (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (patch #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 z #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 z #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (-.f64 z #s(literal 1 binary64)) (patch (-.f64 z #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 z (+.f64 #s(literal -1 binary64) z)) (patch (*.f64 z (+.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t z) (/ y z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t z) (/ y z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t z) (/ y z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ (* t x) (- z 1)) (/ (* x y) z)) (taylor 0 t) (#s(alt (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ t (- z 1)) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 t) (#s(alt (neg.f64 (+.f64 y t)) (patch (neg.f64 (+.f64 y t)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 t) y) (taylor 0 t) (#s(alt (neg.f64 (+.f64 y t)) (patch (neg.f64 (+.f64 y t)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 t) y) (taylor 0 t) (#s(alt (neg.f64 (+.f64 y t)) (patch (neg.f64 (+.f64 y t)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 t) y) (taylor 0 t) (#s(alt (neg.f64 (+.f64 y t)) (patch (neg.f64 (+.f64 y t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z)) (taylor 0 t) (#s(alt #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) (patch #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 z))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) (patch (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (neg (+ y t)) (/ -1 z)) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (neg (+ y t)) (* x (- (/ y z) (/ t (- 1 z)))) (* (/ x z) y) (/ x z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* x (- (/ y z) t)) (- (/ y z) t) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ t y) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (+ (* y (+ -1 z)) (* t z)) (* (- z 1) y) (- z 1) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (* z (+ -1 z))) |
| 4.0ms | x | @ | -inf | ((* (neg (+ y t)) (/ -1 z)) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (neg (+ y t)) (* x (- (/ y z) (/ t (- 1 z)))) (* (/ x z) y) (/ x z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* x (- (/ y z) t)) (- (/ y z) t) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ t y) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (+ (* y (+ -1 z)) (* t z)) (* (- z 1) y) (- z 1) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (* z (+ -1 z))) |
| 4.0ms | z | @ | -inf | ((* (neg (+ y t)) (/ -1 z)) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (neg (+ y t)) (* x (- (/ y z) (/ t (- 1 z)))) (* (/ x z) y) (/ x z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* x (- (/ y z) t)) (- (/ y z) t) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ t y) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (+ (* y (+ -1 z)) (* t z)) (* (- z 1) y) (- z 1) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (* z (+ -1 z))) |
| 3.0ms | x | @ | 0 | ((* (neg (+ y t)) (/ -1 z)) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (neg (+ y t)) (* x (- (/ y z) (/ t (- 1 z)))) (* (/ x z) y) (/ x z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* x (- (/ y z) t)) (- (/ y z) t) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ t y) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (+ (* y (+ -1 z)) (* t z)) (* (- z 1) y) (- z 1) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (* z (+ -1 z))) |
| 3.0ms | y | @ | -inf | ((* (neg (+ y t)) (/ -1 z)) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (neg (+ y t)) (* x (- (/ y z) (/ t (- 1 z)))) (* (/ x z) y) (/ x z) (* x (- (/ y z) (/ t (- 1 z)))) (/ (* x (- y (* t z))) z) (* x (- (/ y z) t)) (- (/ y z) t) (* (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (/ x z)) (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+ t y) (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (+ (* y (+ -1 z)) (* t z)) (* (- z 1) y) (- z 1) (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z)))) (* z (+ -1 z))) |
| 1× | egg-herbie |
| 10 298× | lower-fma.f64 |
| 10 298× | lower-fma.f32 |
| 3 840× | lower-*.f64 |
| 3 840× | lower-*.f32 |
| 2 332× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 7852 |
| 1 | 1673 | 7146 |
| 2 | 5381 | 6492 |
| 0 | 8488 | 6294 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
(/ (* x y) z) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(* -1 y) |
(- (* -1 t) y) |
(- (* -1 t) y) |
(- (* -1 t) y) |
(/ (* 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)) |
(/ (* 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)) |
(/ (* x y) z) |
(+ (* -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)) |
(/ y z) |
(+ (* -1 t) (/ y z)) |
(+ (* -1 t) (/ y z)) |
(+ (* -1 t) (/ 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)) |
y |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
y |
(+ t y) |
(+ t y) |
(+ t y) |
(/ y z) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(* y (- z 1)) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* 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 z) |
(* t (+ (/ 1 z) (/ y (* t z)))) |
(* t (+ (/ 1 z) (/ y (* t z)))) |
(* t (+ (/ 1 z) (/ y (* t 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 (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* -1 t) |
(* t (- (* -1 (/ y t)) 1)) |
(* t (- (* -1 (/ y t)) 1)) |
(* t (- (* -1 (/ y t)) 1)) |
(* -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))) |
(* 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)) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t z)))) |
(* t (+ (* -1 x) (/ (* x y) (* t 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) |
(* t (- (/ y (* t z)) 1)) |
(* t (- (/ y (* t z)) 1)) |
(* t (- (/ y (* t z)) 1)) |
(* -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 z) (- 1 z))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
(* t (+ (* -1 (/ z (- 1 z))) (/ y t))) |
t |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
(* t (+ 1 (/ y t))) |
(/ t (- z 1)) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t (+ (/ 1 (- z 1)) (/ y (* t z)))) |
(* t z) |
(* t (+ z (/ (* y (- z 1)) t))) |
(* t (+ z (/ (* y (- z 1)) t))) |
(* t (+ z (/ (* y (- z 1)) t))) |
(/ (* 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 z) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 z)))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 z)))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 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)))))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 t) |
(* -1 (* t (+ 1 (/ y t)))) |
(* -1 (* t (+ 1 (/ y t)))) |
(* -1 (* t (+ 1 (/ y t)))) |
(* -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 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 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 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) |
(* -1 (* t (+ 1 (* -1 (/ y (* t z)))))) |
(* -1 (* t (+ 1 (* -1 (/ y (* t z)))))) |
(* -1 (* t (+ 1 (* -1 (/ 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 z) (- 1 z))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ z (- 1 z))))) |
t |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(* -1 (* t (- (* -1 (/ y t)) 1))) |
(/ t (- z 1)) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* y (- z 1)) t))))) |
(/ (* 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)))))) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) 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) |
(/ y z) |
(/ (+ y (* z (- (* -1 (+ t y)) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* -1 (+ t y)) (* -1 y)))) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* z (- (* -1 (+ t y)) (* -1 y))) (* -1 (- (* -1 (+ t y)) (* -1 y)))))) (* -1 y)))) 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) z) |
(/ (+ (* -1 (* t (* x z))) (* x y)) 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) |
(/ y z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* -1 (* t z))) z) |
(/ (+ y (* -1 (* t z))) 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) |
y |
(+ y (* -1 (* t z))) |
(+ y (* z (+ (* -1 t) (* -1 (* t z))))) |
(+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) |
(/ y z) |
(/ (+ y (* z (- (* -1 (+ t y)) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* -1 (+ t y)) (* -1 y)))) (* -1 y)))) z) |
(/ (+ y (* z (- (+ (* -1 (+ t y)) (* z (- (* z (- (* -1 (+ t y)) (* -1 y))) (* -1 (- (* -1 (+ t y)) (* -1 y)))))) (* -1 y)))) z) |
(* -1 y) |
(+ (* -1 y) (* z (+ t y))) |
(+ (* -1 y) (* z (+ t y))) |
(+ (* -1 y) (* z (+ t y))) |
(* -1 y) |
(+ (* -1 y) (* y z)) |
(+ (* -1 y) (* y z)) |
(+ (* -1 y) (* y z)) |
-1 |
(- z 1) |
(- z 1) |
(- z 1) |
(/ (* 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) |
(* -1 z) |
(* z (- z 1)) |
(* z (- z 1)) |
(* z (- z 1)) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t 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) |
(/ (+ t y) z) |
(/ (- (+ t (+ y (* -1 (/ y z)))) (* -1 (/ (+ t y) z))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2)))))) (+ (* -1 (/ (+ t y) z)) (* -1 (/ (+ t y) (pow z 2))))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3)))))) (+ (* -1 (/ (+ t y) z)) (+ (* -1 (/ (+ t y) (pow z 3))) (* -1 (/ (- (* -1 y) (* -1 (+ t y))) (pow z 2)))))) 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (* 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) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(* -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) |
(* -1 (+ (* -1 t) (* -1 y))) |
(+ (* -1 (+ (* -1 t) (* -1 y))) (/ t z)) |
(- (+ (* -1 (+ (* -1 t) (* -1 y))) (/ t (pow z 2))) (* -1 (/ t z))) |
(- (+ (* -1 (+ (* -1 t) (* -1 y))) (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) |
(/ (+ t y) z) |
(/ (- (+ t (+ y (* -1 (/ y z)))) (* -1 (/ (+ t y) z))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2)))))) (+ (* -1 (/ (+ t y) z)) (* -1 (/ (+ t y) (pow z 2))))) z) |
(/ (- (+ t (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3)))))) (+ (* -1 (/ (+ t y) z)) (+ (* -1 (/ (+ t y) (pow z 3))) (* -1 (/ (- (* -1 y) (* -1 (+ t y))) (pow z 2)))))) z) |
(* z (+ t y)) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(* z (+ t (+ y (* -1 (/ y z))))) |
(* y z) |
(* z (+ y (* -1 (/ y z)))) |
(* z (+ y (* -1 (/ y z)))) |
(* z (+ y (* -1 (/ y z)))) |
z |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 z))) |
(* z (- 1 (/ 1 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) |
(pow z 2) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(/ (+ t y) z) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (/ t z) (* -1 t)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ t z)) t) z)) (* -1 t)) z)))) 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(* -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) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(/ (* 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)) |
(+ t y) |
(+ t (+ y (/ t z))) |
(+ t (+ y (* -1 (/ (- (* -1 (/ t z)) t) z)))) |
(+ t (+ y (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z)))) |
(* -1 (/ (+ (* -1 t) (* -1 y)) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (/ t z) (* -1 t)) z)))) z)) |
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ t z)) t) z)) (* -1 t)) z)))) z)) |
(* -1 (* z (+ (* -1 t) (* -1 y)))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* -1 (* z (+ (* -1 t) (+ (* -1 y) (/ y z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (/ y z)))) |
(* -1 (* z (+ (* -1 y) (/ y z)))) |
(* -1 (* z (+ (* -1 y) (/ y z)))) |
z |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (* x (+ (* -1 t) (* -1 y))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x y)) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) (* -1 (* x y))) z))) (* x (+ (* -1 t) (* -1 y)))) z)) (* x (+ (* -1 t) (* -1 y)))) z)) |
(pow z 2) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(* (pow z 2) (- 1 (/ 1 z))) |
(/ t z) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ y z)) |
(+ (/ t z) (/ 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)) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(* -1 t) |
(- (* -1 y) t) |
(- (* -1 y) t) |
(- (* -1 y) t) |
(* -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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x 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)) |
(* -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) |
(- (/ y z) t) |
(- (/ y z) t) |
(- (/ y z) t) |
(* -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)) |
(* -1 (/ (* t z) (- 1 z))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
(+ y (* -1 (/ (* t z) (- 1 z)))) |
t |
(+ t y) |
(+ t y) |
(+ t y) |
(/ t (- z 1)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(+ (/ t (- z 1)) (/ y z)) |
(* t z) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(+ (* t z) (* y (- z 1))) |
(* y (- z 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(/ (* 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)) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y z)))) |
(* y (+ (/ 1 z) (/ t (* y z)))) |
(* y (+ (/ 1 z) (/ t (* 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))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* -1 y) |
(* y (- (* -1 (/ t y)) 1)) |
(* y (- (* -1 (/ t y)) 1)) |
(* y (- (* -1 (/ t y)) 1)) |
(/ (* 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) |
(/ (* x y) z) |
(/ (* x y) 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) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x z))) |
(* y (+ (* -1 (/ (* t x) y)) (/ x 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))) |
(/ y z) |
(* y (+ (* -1 (/ t y)) (/ 1 z))) |
(* y (+ (* -1 (/ t y)) (/ 1 z))) |
(* y (+ (* -1 (/ t y)) (/ 1 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))) |
y |
(* y (+ 1 (* -1 (/ (* t z) (* y (- 1 z)))))) |
(* y (+ 1 (* -1 (/ (* t z) (* y (- 1 z)))))) |
(* y (+ 1 (* -1 (/ (* t z) (* y (- 1 z)))))) |
y |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
(* y (+ 1 (/ t y))) |
(/ y z) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (+ (/ 1 z) (/ t (* y (- z 1))))) |
(* y (- z 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(* y (- (+ z (/ (* t z) y)) 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(/ (* 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))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y z))) (/ 1 z)))) |
(/ (* 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))))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ t y)))) |
(* -1 (* y (+ 1 (/ t y)))) |
(* -1 (* y (+ 1 (/ t y)))) |
(/ (* 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) 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 (* 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 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y)))) |
(/ y z) |
(* -1 (* y (- (/ t y) (/ 1 z)))) |
(* -1 (* y (- (/ t y) (/ 1 z)))) |
(* -1 (* y (- (/ t y) (/ 1 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)))))) |
y |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
(* -1 (* y (- (/ (* t z) (* y (- 1 z))) 1))) |
y |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(* -1 (* y (- (* -1 (/ t y)) 1))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z)))) |
(* y (- z 1)) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (- z 1)) (* -1 (/ (* t z) y))))) |
(* y (- z 1)) |
(* y (- z 1)) |
(* y (- z 1)) |
(* 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 (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(* 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(/ (* 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 (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(* 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(/ (* 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 (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(* 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) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(/ (* x (- y (* t z))) z) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(* x (- (/ y z) t)) |
(/ (* 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 (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
(+ (/ t z) (/ y z)) |
(/.f64 (+.f64 t y) z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(+ (/ (* t x) (- z 1)) (/ (* x y) z)) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x) |
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(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(* 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)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x 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 (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(/ (* x (- y (* t z))) z) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) t y) z) x) |
(* x (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(* x (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(* x (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(* x (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) x) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 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))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 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))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 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))) |
(/ (* x (+ (* -1 (* t z)) (* y (- 1 z)))) (* z (- 1 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))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(/ (* x (+ (* t z) (* y (- z 1)))) (* z (- z 1))) |
(*.f64 (/.f64 (fma.f64 (+.f64 t y) z (neg.f64 y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
| 5 334× | lower-/.f32 |
| 5 326× | lower-/.f64 |
| 5 166× | lower-*.f32 |
| 5 150× | lower-*.f64 |
| 2 352× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 260 |
| 0 | 68 | 260 |
| 1 | 281 | 255 |
| 2 | 2261 | 255 |
| 0 | 8591 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 (+.f64 y t)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t))) |
(*.f64 x (-.f64 (/.f64 y z) t)) |
(-.f64 (/.f64 y z) t) |
(*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
#s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) |
(+.f64 t y) |
(/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z))) |
#s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) y) |
(-.f64 z #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) z)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (+.f64 t y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 t y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (+.f64 t y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (+.f64 t y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (+.f64 t y)) |
(*.f64 (neg.f64 (neg.f64 (+.f64 t y))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 t y)) z) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 t y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 t y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (+.f64 t y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (+.f64 t y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (+.f64 t y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (+.f64 t y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (+.f64 t y)) z)) |
(*.f64 (neg.f64 (+.f64 t y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (+.f64 t y) (neg.f64 (/.f64 #s(literal -1 binary64) z))) |
(pow.f64 (/.f64 z (neg.f64 (neg.f64 (+.f64 t y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t y)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 t y)) #s(literal 1 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 t y))))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t y))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 t y)) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 t y)))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 t y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 t y))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (neg.f64 (+.f64 t y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (neg.f64 (neg.f64 (+.f64 t y)))))) |
(/.f64 (neg.f64 (+.f64 t y)) (neg.f64 z)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 t y)) z)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) y (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 y z) #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 (/.f64 (neg.f64 t) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 (+.f64 t y)) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 t y)) z)) |
(-.f64 (/.f64 y z) (/.f64 t (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(+.f64 (/.f64 y z) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (/.f64 (+.f64 t y) z) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (/.f64 (+.f64 t y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (/.f64 (+.f64 t y) z) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 t y)) |
(*.f64 (+.f64 t y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 t y) (-.f64 t y)))) (neg.f64 (-.f64 t y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 t y) (-.f64 y t)))) (neg.f64 (-.f64 y t))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 y t) (*.f64 t y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 t y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 t y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 t y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 t y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 t y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 t t) (*.f64 (neg.f64 y) (neg.f64 t)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 t y)))) (neg.f64 (-.f64 t y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 y t)))) (neg.f64 (-.f64 y t))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 t y)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 y t) (*.f64 t y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (-.f64 t y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 t y) (-.f64 y t))) (-.f64 y t)) |
(/.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 t y) (*.f64 t y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y t) (*.f64 t y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 t y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 t y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 t y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 t y))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 t t) (*.f64 (neg.f64 y) (neg.f64 t))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 t y))) (neg.f64 (neg.f64 (-.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 t y))) (-.f64 t y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 y t))) (neg.f64 (-.f64 (neg.f64 y) (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 y t))) (neg.f64 (neg.f64 (-.f64 y t)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (-.f64 y t))) (-.f64 y t)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 t y))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y t) (*.f64 t y))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 t y) (*.f64 t y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y t) (*.f64 t y))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 t y)) (neg.f64 (-.f64 t y))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (-.f64 (neg.f64 y) (neg.f64 t))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (neg.f64 (-.f64 y t))) |
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (-.f64 (hypot.f64 t y) (*.f64 t y)))) |
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (-.f64 (hypot.f64 y t) (*.f64 t y)))) |
(neg.f64 (+.f64 t y)) |
(fma.f64 #s(literal -1 binary64) t (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 t #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) y (neg.f64 t)) |
(fma.f64 t #s(literal -1 binary64) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 t #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (neg.f64 t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 t y))) (/.f64 (pow.f64 (+.f64 t y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 t y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (neg.f64 t))) (/.f64 (*.f64 t t) (-.f64 (neg.f64 y) (neg.f64 t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 t y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 t y))))) (/.f64 (pow.f64 (+.f64 t y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 t y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 t y)))))) |
(-.f64 (/.f64 (*.f64 t t) (neg.f64 (-.f64 t y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 t y)))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 y t))) (/.f64 (*.f64 t t) (neg.f64 (-.f64 y t)))) |
(-.f64 (neg.f64 t) y) |
(-.f64 (neg.f64 y) t) |
(-.f64 #s(literal 0 binary64) (+.f64 t y)) |
(+.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 y)) |
(+.f64 (neg.f64 t) (neg.f64 y)) |
(+.f64 (neg.f64 y) (*.f64 t #s(literal -1 binary64))) |
(+.f64 (neg.f64 y) (neg.f64 t)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 t y))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
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(/.f64 (fma.f64 z z #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 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) z #s(literal -1 binary64)) |
(fma.f64 z #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z))))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) (pow.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) z) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) z) (/.f64 x (neg.f64 (-.f64 z #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 z #s(literal 1 binary64)))) (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) z)) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) (-.f64 z #s(literal 1 binary64))) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 x (*.f64 (-.f64 z #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (pow.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (fma.f64 z z #s(literal -1 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 z #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z)) |
(*.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (-.f64 z #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) (/.f64 x (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(literal -1 binary64)) (/.f64 x (pow.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(*.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 (-.f64 z #s(literal 1 binary64)) z)) x) |
(*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(*.f64 (/.f64 x z) (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (-.f64 z #s(literal 1 binary64)))) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 (-.f64 z #s(literal 1 binary64)) z))) |
(pow.f64 (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) x) (/.f64 z #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) (-.f64 z #s(literal 1 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) z)) (neg.f64 (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) x)) (neg.f64 (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) x)) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z))) (neg.f64 (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(/.f64 (/.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) (-.f64 z #s(literal 1 binary64))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) z) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z) x) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))) x) (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))) |
(/.f64 (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) z)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x (neg.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x)) (*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) x) (*.f64 (-.f64 z #s(literal 1 binary64)) z)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) x) (/.f64 z #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y))))) |
(/.f64 x (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) z) #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) x) (/.f64 z #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)))))) |
(*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) z) |
(*.f64 z (-.f64 z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) z)) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (neg.f64 z) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) z) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 z (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64))) (-.f64 (neg.f64 z) (*.f64 z z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z z (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (neg.f64 z)) |
(fma.f64 z z (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 z z)) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 (neg.f64 z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (neg.f64 z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 z z))) |
(+.f64 (*.f64 z z) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 z z)) |
Compiled 17 829 to 2 314 computations (87% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 243 | 3 | 1 246 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 246 | 15 | 1 261 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (/.f64 (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) x) z) | |
| 70.8% | (/.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 z x)) | |
| ✓ | 71.0% | (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
| 26.1% | (*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #s(approx (* z (+ -1 z)) (*.f64 z z)))) | |
| ✓ | 60.5% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
| ✓ | 75.4% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
| 34.3% | (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) | |
| ✓ | 65.0% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
| ✓ | 67.3% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
| 38.4% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) | |
| 61.1% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) | |
| ✓ | 61.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
| ✓ | 60.8% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
| ✓ | 20.2% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
| ✓ | 63.8% | #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
Compiled 533 to 262 computations (50.8% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) 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 (+.f64 t y) z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
(*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
(/.f64 (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) x) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) |
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) #s(literal -1 binary64)) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (-.f64 y (*.f64 t z)) z))) |
(*.f64 x (-.f64 (/.f64 y z) #s(approx (/ t (- 1 z)) (fma.f64 t z t)))) |
(/.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 z x)) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #s(approx (* z (+ -1 z)) (*.f64 z z)))) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) |
#s(approx (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -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 (pow (+ -1 z) -1) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))) |
(*.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 t z)) (*.f64 z (+.f64 #s(literal -1 binary64) 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 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) |
(*.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 #s(literal 1 binary64) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 t) (/.f64 z y) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z y)))) |
(*.f64 x (*.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))))) |
(*.f64 x (fma.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 z) t)) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) x) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
6 calls:
| 11.0ms | z |
| 11.0ms | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 10.0ms | t |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | x |
| 94.3% | 2 | y |
| 96.5% | 3 | z |
| 92.5% | 1 | t |
| 98.0% | 3 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 98.0% | 3 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
Compiled 24 to 35 computations (-45.8% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) 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 (+.f64 t y) z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
(*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
(/.f64 (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) x) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) |
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) #s(literal -1 binary64)) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (-.f64 y (*.f64 t z))) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (-.f64 y (*.f64 t z)) z))) |
(*.f64 x (-.f64 (/.f64 y z) #s(approx (/ t (- 1 z)) (fma.f64 t z t)))) |
(/.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 z x)) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (*.f64 (neg.f64 (+.f64 y t)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) #s(approx (* z (+ -1 z)) (*.f64 z z)))) |
(*.f64 x (/.f64 #s(approx (+ (* y (+ -1 z)) (* t z)) (*.f64 (-.f64 z #s(literal 1 binary64)) y)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x (+.f64 (+.f64 (/.f64 t z) y) t)) z)) |
#s(approx (* x (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -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 (-.f64 y (*.f64 t z))) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
3 calls:
| 7.0ms | z |
| 7.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 7.0ms | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | z |
| 83.7% | 3 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 89.1% | 3 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
Compiled 21 to 23 computations (-9.5% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) 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 (+.f64 t y) z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 (+.f64 t y) z))) |
(*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) (/.f64 x z)) |
(/.f64 (*.f64 #s(approx (/ (+ (* (- 1 z) y) (* (neg z) t)) (- 1 z)) (+.f64 t y)) x) z) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 x (/.f64 z y))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 y (/.f64 z x))) |
(*.f64 x (fma.f64 t #s(approx (pow (+ -1 z) -1) #s(literal -1 binary64)) (/.f64 y z))) |
| 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 (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))) |
4 calls:
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | x |
| 80.0% | 3 | t |
| 80.0% | 3 | y |
| 92.3% | 3 | z |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) 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 |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) 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 (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
6 calls:
| 123.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 3.0ms | z |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 2 | x |
| 76.5% | 3 | t |
| 81.1% | 5 | y |
| 68.8% | 2 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 75.5% | 5 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 78.8% | 5 | z |
Compiled 24 to 35 computations (-45.8% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
2 calls:
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | t |
| 78.9% | 5 | y |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) (/.f64 y z))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) |
3 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | t |
| 70.8% | 3 | z |
| 74.3% | 3 | y |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
(*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
6 calls:
| 4.0ms | t |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 65.0% | 1 | x |
| 65.0% | 1 | z |
| 65.0% | 1 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 65.0% | 1 | y |
| 65.0% | 1 | t |
Compiled 24 to 35 computations (-45.8% saved)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
6 calls:
| 5.0ms | z |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 1 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 60.8% | 1 | z |
| 60.8% | 1 | t |
| 60.8% | 1 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 60.8% | 1 | x |
| 60.8% | 1 | y |
Compiled 24 to 35 computations (-45.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
| Outputs |
|---|
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
6 calls:
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 1.0ms | x |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.2% | 1 | t |
| 20.2% | 1 | z |
| 20.2% | 1 | (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) |
| 20.2% | 1 | (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) |
| 20.2% | 1 | y |
| 20.2% | 1 | x |
Compiled 24 to 35 computations (-45.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.832682161723195e+291 | +inf |
| 0.0ms | -inf | -3.593005317266947e+303 |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.481064865528588e-5 | 1.7285698723423572e+28 |
| 10.0ms | -6.53608537617597e-29 | -9.741503715881673e-30 |
| 16.0ms | 272× | 0 | valid |
Compiled 320 to 340 computations (-6.3% saved)
ival-div: 4.0ms (48.5% of total)ival-sub: 2.0ms (24.2% of total)ival-mult: 2.0ms (24.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.481064865528588e-5 | 1.7285698723423572e+28 |
| 15.0ms | -64227619111464776.0 | -72298610.15819536 |
| 10.0ms | 144× | 0 | valid |
Compiled 354 to 397 computations (-12.1% saved)
ival-sub: 3.0ms (46.2% of total)ival-div: 2.0ms (30.8% of total)ival-mult: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.226765203137286e-21 | 1.7964917651008446e-20 |
| 14.0ms | 1.2399302554573116e-195 | 5.673631825635466e-177 |
| 8.0ms | -2.5802373875185204e-143 | -1.7402670760341836e-143 |
| 16.0ms | -9.429267337639555e+79 | -3.7464539302339883e+59 |
| 31.0ms | 480× | 0 | valid |
Compiled 492 to 585 computations (-18.9% saved)
ival-div: 7.0ms (47.2% of total)ival-sub: 4.0ms (27% of total)ival-mult: 3.0ms (20.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.226765203137286e-21 | 1.7964917651008446e-20 |
| 14.0ms | 3.109134325173406e-230 | 4.357827685989935e-212 |
| 18.0ms | -7.947691965861895e-167 | -1.34792843258633e-184 |
| 1.0ms | -9.429267337639555e+79 | -3.7464539302339883e+59 |
| 21.0ms | 320× | 0 | valid |
Compiled 574 to 685 computations (-19.3% saved)
ival-div: 8.0ms (60.7% of total)ival-sub: 3.0ms (22.8% of total)ival-mult: 2.0ms (15.2% 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 |
|---|---|---|
| 16.0ms | 6.648539641846413e+106 | 3.0498243541436308e+113 |
| 12.0ms | -5.860312610610252e+84 | -5.7098936911654686e+82 |
| 19.0ms | 256× | 0 | valid |
Compiled 222 to 289 computations (-30.2% saved)
ival-div: 4.0ms (50.7% of total)ival-sub: 2.0ms (25.4% of total)ival-mult: 2.0ms (25.4% 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 |
| 284× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 212× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 176× | neg-mul-1-binary64-*.f64-neg.f64 |
| 130× | neg-sub0-binary64--.f64-neg.f64 |
| 108× | cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 604 |
| 1 | 126 | 604 |
| 2 | 153 | 604 |
| 3 | 174 | 604 |
| 4 | 192 | 604 |
| 5 | 233 | 604 |
| 6 | 309 | 604 |
| 7 | 454 | 604 |
| 8 | 607 | 604 |
| 9 | 747 | 604 |
| 10 | 859 | 604 |
| 11 | 920 | 604 |
| 12 | 947 | 604 |
| 13 | 969 | 604 |
| 14 | 979 | 604 |
| 15 | 981 | 604 |
| 1× | saturated |
| Inputs |
|---|
(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 x z) y)) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 z #s(literal -2899096875808981/44601490397061246283071436545296723011960832 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 x (-.f64 y (*.f64 t z))) z)) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
(if (<=.f64 z #s(literal -75000000 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 (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal -1318041150745077/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (if (<=.f64 y #s(literal 2908711965702797/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)))))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal -3065960095042115/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (if (<=.f64 y #s(literal 7468176164825437/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)))))) |
(if (<=.f64 t #s(literal -4799999999999999932192410171428114799961089096209835235515152335007291445155026960384 binary64)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) (if (<=.f64 t #s(literal 6800000000000000293770888841414619815785679641983803831952437914315113467260000270557236520118691046218866360320 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
| 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 (/.f64 x z) y)) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 z #s(literal -2899096875808981/44601490397061246283071436545296723011960832 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 x (-.f64 y (*.f64 t z))) z)) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
(if (<=.f64 z #s(literal -2899096875808981/44601490397061246283071436545296723011960832 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 (-.f64 y (*.f64 t z)) x) z)) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x))) |
(if (<=.f64 z #s(literal -75000000 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 (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (*.f64 x #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z))))) |
(if (<=.f64 z #s(literal -75000000 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)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) (*.f64 #s(approx (- (/ y z) (/ t (- 1 z))) (/.f64 (+.f64 t y) z)) x))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal -1318041150745077/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (if (<=.f64 y #s(literal 2908711965702797/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 t x) (-.f64 z #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)))))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal -1318041150745077/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) (if (<=.f64 y #s(literal 2908711965702797/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x t) (-.f64 z #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)))))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal -3065960095042115/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) (if (<=.f64 y #s(literal 7468176164825437/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 x (-.f64 (/.f64 y z) t)))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)))))) |
(if (<=.f64 y #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal -3065960095042115/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) (if (<=.f64 y #s(literal 7468176164825437/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z))) x) (if (<=.f64 y #s(literal 1960611293782751/166153499473114484112975882535043072 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (-.f64 (/.f64 y z) t) x))) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)))))) |
(if (<=.f64 t #s(literal -4799999999999999932192410171428114799961089096209835235515152335007291445155026960384 binary64)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))) (if (<=.f64 t #s(literal 6800000000000000293770888841414619815785679641983803831952437914315113467260000270557236520118691046218866360320 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) (*.f64 x #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z)))))) |
(if (<=.f64 t #s(literal -4799999999999999932192410171428114799961089096209835235515152335007291445155026960384 binary64)) (*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z))) x) (if (<=.f64 t #s(literal 6800000000000000293770888841414619815785679641983803831952437914315113467260000270557236520118691046218866360320 binary64)) #s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)) (*.f64 #s(approx (/ (+ (* y (+ -1 z)) (* t z)) (* z (+ -1 z))) #s(approx (/ (+ t y) z) (/.f64 t z))) x))) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (/.f64 (*.f64 x y) z)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) (*.f64 (/.f64 x z) y)) |
#s(approx (* x (- (/ y z) (/ t (- 1 z)))) #s(approx (/ (* x (- y (* t z))) z) (*.f64 (neg.f64 t) x))) |
| 12 624× | lower-fma.f64 |
| 12 624× | lower-fma.f32 |
| 10 790× | lower-fma.f64 |
| 10 790× | lower-fma.f32 |
| 10 726× | 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 |
| 0 | 203 | 1296 |
| 1 | 615 | 1218 |
| 2 | 1762 | 1126 |
| 3 | 5521 | 1114 |
| 0 | 8328 | 1097 |
| 0 | 420 | 6155 |
| 1 | 1340 | 5747 |
| 2 | 4043 | 5560 |
| 0 | 8394 | 5363 |
| 0 | 570 | 7006 |
| 1 | 1912 | 6378 |
| 2 | 5992 | 6301 |
| 0 | 8353 | 6122 |
| 0 | 35 | 184 |
| 0 | 60 | 184 |
| 1 | 249 | 176 |
| 2 | 2028 | 176 |
| 0 | 8449 | 176 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 443 to 277 computations (37.5% saved)
(negabs x)
Compiled 880 to 310 computations (64.8% saved)
Loading profile data...