
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 559.0ms | 8 256× | 0 | valid |
ival-div: 144.0ms (44.6% of total)ival-mult: 111.0ms (34.4% of total)ival-add: 54.0ms (16.7% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (0.9% of total)| 1× | egg-herbie |
| 1 390× | unsub-neg |
| 1 032× | distribute-lft-in |
| 930× | distribute-rgt-in |
| 594× | div-sub |
| 550× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 102 |
| 1 | 129 | 99 |
| 2 | 339 | 99 |
| 3 | 1139 | 99 |
| 4 | 2665 | 99 |
| 5 | 4199 | 99 |
| 6 | 5059 | 99 |
| 7 | 5307 | 99 |
| 8 | 5419 | 99 |
| 9 | 5432 | 99 |
| 10 | 5933 | 99 |
| 11 | 6237 | 99 |
| 12 | 6270 | 99 |
| 13 | 6286 | 99 |
| 14 | 6290 | 99 |
| 15 | 6290 | 99 |
| 16 | 6290 | 99 |
| 17 | 6290 | 99 |
| 18 | 6350 | 99 |
| 19 | 6374 | 99 |
| 20 | 6374 | 99 |
| 21 | 6550 | 99 |
| 22 | 7118 | 99 |
| 23 | 7144 | 99 |
| 24 | 7148 | 99 |
| 25 | 7148 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 46 | 11 |
| 3 | 101 | 11 |
| 4 | 153 | 11 |
| 5 | 202 | 11 |
| 0 | 202 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(abs z)
(negabs y)
(negabs x)
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 0 | - | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 5 | 0 | - | 0 | - | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | n/o | 23 | 0 |
| ↳ | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | overflow | 82 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | overflow | 55 | |
| ↳ | (*.f64 z z) | overflow | 55 | |
*.f64 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | n*o | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 28 | 0 |
| - | 0 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 228 |
| number | freq |
|---|---|
| 0 | 228 |
| 1 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 512× | 0 | valid |
Compiled 98 to 40 computations (59.2% saved)
ival-mult: 40.0ms (79.8% of total)ival-div: 7.0ms (14% of total)ival-add: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.5% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 142× | lower-*.f32 |
| 138× | lower-*.f64 |
| 72× | associate-*r* |
| 70× | lower-fma.f64 |
| 70× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 0 | 14 | 33 |
| 1 | 28 | 33 |
| 2 | 46 | 33 |
| 3 | 101 | 33 |
| 4 | 153 | 33 |
| 5 | 202 | 33 |
| 0 | 202 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(fma.f64 y (*.f64 z z) y) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| ✓ | accuracy | 98.1% | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| ✓ | accuracy | 91.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 35 to 11 computations (68.6% saved)
ival-div: 3.0ms (36.6% of total)ival-mult: 3.0ms (36.6% of total)ival-add: 1.0ms (12.2% 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 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (/ 1 x) (* y (+ 1 (* z z)))) |
| 1.0ms | z | @ | 0 | (/ (/ 1 x) (* y (+ 1 (* z z)))) |
| 1.0ms | y | @ | 0 | (/ (/ 1 x) (* y (+ 1 (* z z)))) |
| 1.0ms | x | @ | -inf | (/ (/ 1 x) (* y (+ 1 (* z z)))) |
| 1.0ms | y | @ | inf | (/ (/ 1 x) (* y (+ 1 (* z z)))) |
| 1× | egg-herbie |
| 18 180× | lower-fma.f64 |
| 18 180× | lower-fma.f32 |
| 3 734× | lower-*.f64 |
| 3 734× | lower-*.f32 |
| 2 644× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 814 |
| 1 | 135 | 812 |
| 2 | 389 | 807 |
| 3 | 1483 | 790 |
| 4 | 3946 | 754 |
| 5 | 7664 | 754 |
| 0 | 8189 | 693 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
1 |
(+ 1 (pow z 2)) |
(+ 1 (pow z 2)) |
(+ 1 (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 1 binary64))) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 z z)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 z z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
y |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
| 1× | batch-egg-rewrite |
| 4 616× | lower-/.f32 |
| 4 612× | lower-/.f64 |
| 4 020× | lower-*.f32 |
| 4 016× | lower-*.f64 |
| 3 572× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2758 | 29 |
| 0 | 9078 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (neg.f64 (*.f64 z z)))) |
(+.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64) (neg.f64 (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64)) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) y)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (neg.f64 (*.f64 z z)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 z z) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 z z) y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
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(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))))) (*.f64 (-.f64 y (*.f64 y (*.f64 z z))) (-.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y)))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))))) (neg.f64 (neg.f64 (-.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y (*.f64 z z)) y))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 z z)))) (neg.f64 (neg.f64 (*.f64 y (*.f64 z z))))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (*.f64 y (*.f64 z z)))))))) |
(pow.f64 (fma.f64 y (*.f64 z z) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(*.f64 (fma.f64 y (*.f64 z z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (/.f64 y (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (neg.f64 (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) #s(literal 1 binary64))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (fma.f64 z (fma.f64 z (*.f64 z z) z) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64))) |
(pow.f64 z #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
Compiled 15 307 to 1 509 computations (90.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 14 | 532 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 519 | 14 | 533 |
| Status | Accuracy | Program |
|---|---|---|
| 89.3% | (pow.f64 (pow.f64 (*.f64 x (fma.f64 y (*.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 93.4% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) | |
| ▶ | 92.0% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
| 89.6% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) | |
| 93.4% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) | |
| ▶ | 93.5% | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
| ▶ | 91.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| 43.0% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z)))))) | |
| 50.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) | |
| 60.2% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) | |
| ▶ | 89.6% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
| 54.1% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) | |
| 50.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) | |
| ▶ | 60.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 394 to 236 computations (40.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y z) z y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z z) y) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 z z) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 z z #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
| 142× | lower-*.f32 |
| 132× | lower-*.f64 |
| 70× | lower-fma.f32 |
| 64× | lower-fma.f64 |
| 62× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 139 |
| 0 | 44 | 138 |
| 1 | 88 | 138 |
| 2 | 131 | 138 |
| 3 | 208 | 138 |
| 4 | 208 | 138 |
| 0 | 208 | 138 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x (fma.f64 z z #s(literal 1 binary64))) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
x |
(fma.f64 y (*.f64 z z) y) |
y |
(*.f64 z z) |
z |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
y |
z |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 x (*.f64 z z) x) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
x |
(fma.f64 y (*.f64 z z) y) |
y |
(*.f64 z z) |
z |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 y (*.f64 z z) y) |
(*.f64 y z) |
y |
z |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 z z #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
| ✓ | accuracy | 92.2% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y z) z y) |
| ✓ | accuracy | 91.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
| ✓ | accuracy | 98.2% | (fma.f64 y (*.f64 z z) y) |
| ✓ | accuracy | 91.8% | (*.f64 x (fma.f64 y (*.f64 z z) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| ✓ | accuracy | 60.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ✓ | accuracy | 100.0% | (fma.f64 z z #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.1% | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
| ✓ | accuracy | 92.6% | (*.f64 x (fma.f64 z z #s(literal 1 binary64))) |
| 56.0ms | 256× | 0 | valid |
Compiled 146 to 27 computations (81.5% saved)
ival-div: 13.0ms (43.8% of total)ival-mult: 11.0ms (37% of total)ival-add: 5.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 y (*.f64 z z) y)) (patch (*.f64 x (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow z 2)) (taylor inf z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/ 1 (* x y)) |
| 1.0ms | x | @ | 0 | (/ 1 (* x (+ (* y (* z z)) y))) |
| 1.0ms | y | @ | -inf | (/ 1 (* x (+ (* y (* z z)) y))) |
| 1.0ms | y | @ | inf | (/ 1 (* x (+ (* y (* z z)) y))) |
| 1.0ms | y | @ | 0 | (/ 1 (* x (+ (* y (* z z)) y))) |
| 1× | egg-herbie |
| 6 468× | lower-fma.f64 |
| 6 468× | lower-fma.f32 |
| 3 100× | lower-*.f64 |
| 3 100× | lower-*.f32 |
| 2 468× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 4020 |
| 1 | 249 | 4008 |
| 2 | 674 | 3964 |
| 3 | 2584 | 3880 |
| 4 | 6627 | 3880 |
| 0 | 8078 | 3649 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
x |
(+ x (* x (pow z 2))) |
(+ x (* x (pow z 2))) |
(+ x (* x (pow z 2))) |
(* x (pow z 2)) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* x (pow z 2)) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
1 |
(+ 1 (pow z 2)) |
(+ 1 (pow z 2)) |
(+ 1 (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
1 |
(+ 1 (* -1 (pow z 2))) |
(+ 1 (* (pow z 2) (- (pow z 2) 1))) |
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1))) |
(/ 1 (pow z 2)) |
(/ (- 1 (/ 1 (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) |
(/ 1 (pow z 2)) |
(/ (- 1 (/ 1 (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
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(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 y z) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow z 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 z z)) |
(+ 1 (* (pow z 2) (- (pow z 2) 1))) |
(fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1))) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/ 1 (pow z 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/ (- 1 (/ 1 (pow z 2))) (pow z 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 z z)) |
(/ 1 (pow z 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/ (- 1 (/ 1 (pow z 2))) (pow z 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 z z)) |
| 1× | batch-egg-rewrite |
| 5 766× | lower-*.f32 |
| 5 756× | lower-*.f64 |
| 5 424× | lower-fma.f32 |
| 5 418× | lower-fma.f64 |
| 4 808× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 113 |
| 0 | 44 | 112 |
| 1 | 194 | 112 |
| 2 | 1115 | 112 |
| 0 | 8410 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(fma.f64 y (*.f64 z z) y) |
(*.f64 z z) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (neg.f64 (*.f64 z z)))) |
(+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))) (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))) (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)))) |
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)))) |
(+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(+.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x (*.f64 z z) x))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64) (*.f64 (log1p.f64 (*.f64 z z)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 z z)) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))))) |
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))))) |
(fma.f64 (*.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)))) |
(fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))))) |
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z)))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 z z) z)))) |
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 z z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64))) (+.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (*.f64 z z))))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (neg.f64 z) #s(literal 1 binary64))) (fma.f64 z (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
Compiled 77 133 to 4 417 computations (94.3% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 911 | 16 | 2 927 |
| Fresh | 8 | 1 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 923 | 18 | 2 941 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.6% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
| 93.4% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y) | |
| 55.0% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y)) | |
| ▶ | 99.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
| 60.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))) | |
| 54.1% | (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) | |
| 98.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) | |
| ▶ | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| 93.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) | |
| 91.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| 93.2% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) | |
| ▶ | 91.4% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| 50.9% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) | |
| 57.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) | |
| 60.2% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| ▶ | 60.2% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 60.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 533 to 312 computations (41.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z z) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y z) z y) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 y z) z y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x z) z x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
| 142× | lower-*.f32 |
| 132× | lower-*.f64 |
| 70× | lower-fma.f32 |
| 62× | lower-fma.f64 |
| 56× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 151 |
| 0 | 48 | 147 |
| 1 | 90 | 146 |
| 2 | 114 | 146 |
| 3 | 176 | 146 |
| 4 | 182 | 146 |
| 5 | 182 | 146 |
| 0 | 182 | 146 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (*.f64 x z) z x) |
(*.f64 x z) |
x |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 y z) z y)) |
x |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) |
(*.f64 y z) |
y |
z |
(*.f64 x z) |
x |
(*.f64 y x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
#s(literal 1 binary64) |
(fma.f64 y (*.f64 z z) y) |
y |
(*.f64 z z) |
z |
x |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (*.f64 x z) z x) |
(fma.f64 x (*.f64 z z) x) |
(*.f64 x z) |
x |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 y z) z y)) |
(*.f64 y (fma.f64 x (*.f64 z z) x)) |
x |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 y (*.f64 z z) y) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) |
(*.f64 y (fma.f64 x (*.f64 z z) x)) |
(*.f64 y z) |
y |
z |
(*.f64 x z) |
x |
(*.f64 y x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
#s(literal 1 binary64) |
(fma.f64 y (*.f64 z z) y) |
y |
(*.f64 z z) |
z |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
| ✓ | accuracy | 98.2% | (fma.f64 y (*.f64 z z) y) |
| ✓ | accuracy | 92.3% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| ✓ | accuracy | 99.1% | (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y z) z y) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| ✓ | accuracy | 91.8% | (*.f64 x (fma.f64 (*.f64 y z) z y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 60.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x z) z x) |
| ✓ | accuracy | 99.1% | (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
| 210.0ms | 256× | 0 | valid |
Compiled 157 to 30 computations (80.9% saved)
ival-mult: 14.0ms (41.6% of total)ival-div: 13.0ms (38.6% of total)ival-add: 6.0ms (17.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 y z) z y)) (patch (*.f64 x (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (+ 1 (pow z 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (pow z 2))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y (pow z 2))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (pow z 2)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | -inf | (/ 1 (+ (* y (* z z)) y)) |
| 5.0ms | y | @ | 0 | (/ (/ 1 y) (+ (* (* x z) z) x)) |
| 1.0ms | x | @ | -inf | (/ (/ 1 y) (+ (* (* x z) z) x)) |
| 1.0ms | x | @ | 0 | (/ (/ 1 y) (+ (* (* x z) z) x)) |
| 1.0ms | x | @ | inf | (/ (/ 1 y) (+ (* (* x z) z) x)) |
| 1× | egg-herbie |
| 5 762× | lower-fma.f64 |
| 5 762× | lower-fma.f32 |
| 3 082× | lower-*.f64 |
| 3 082× | lower-*.f32 |
| 2 542× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 4522 |
| 1 | 319 | 4510 |
| 2 | 865 | 4471 |
| 3 | 2532 | 4386 |
| 4 | 6356 | 4386 |
| 0 | 8010 | 4107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* x (+ 1 (pow z 2))) |
(* -1 (* x (- (* -1 (pow z 2)) 1))) |
(* -1 (* x (- (* -1 (pow z 2)) 1))) |
(* -1 (* x (- (* -1 (pow z 2)) 1))) |
(* -1 (* x (- (* -1 (pow z 2)) 1))) |
x |
(+ x (* x (pow z 2))) |
(+ x (* x (pow z 2))) |
(+ x (* x (pow z 2))) |
(* x (pow z 2)) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* x (pow z 2)) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* (pow z 2) (+ x (/ x (pow z 2)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ 1 y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
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(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64))) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
y |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 1× | batch-egg-rewrite |
| 5 352× | lower-fma.f32 |
| 5 344× | lower-fma.f64 |
| 5 040× | lower-*.f32 |
| 5 030× | lower-*.f64 |
| 4 056× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 126 |
| 0 | 48 | 122 |
| 1 | 210 | 121 |
| 2 | 1239 | 121 |
| 0 | 8315 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 #s(literal 1 binary64) y) |
(fma.f64 (*.f64 x z) z x) |
(*.f64 x z) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(*.f64 x (fma.f64 (*.f64 y z) z y)) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(fma.f64 y (*.f64 z z) y) |
(*.f64 z z) |
(*.f64 y x) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x)))))) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 z z))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x)))))) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 z z)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 y (fma.f64 x (*.f64 z z) (neg.f64 x))))) (*.f64 x (*.f64 y (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 y (fma.f64 x (*.f64 z z) (neg.f64 x))))) (*.f64 y (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) x)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 y)) (*.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))) (*.f64 y y)) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 9 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y)) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 (*.f64 y (*.f64 z z)) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y))) (-.f64 (*.f64 y (*.f64 z z)) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y))) (neg.f64 (fma.f64 (*.f64 z z) (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 y (*.f64 y (*.f64 z z))))) (neg.f64 (-.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))) (+.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))) |
(pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y (*.f64 z z)) y) (-.f64 (*.f64 y (*.f64 z z)) y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) |
(*.f64 (neg.f64 y) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 y (*.f64 z z) (*.f64 y z)) (-.f64 (*.f64 y (*.f64 z z)) (*.f64 y z)))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) (neg.f64 y) y))) |
(*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (neg.f64 y) y))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z))) |
(pow.f64 z #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (neg.f64 x))) |
(neg.f64 (*.f64 y (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x))) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
Compiled 71 223 to 2 942 computations (95.9% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 420 | 6 | 2 426 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 425 | 19 | 2 444 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.4% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
| 93.4% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y) | |
| 55.0% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y)) | |
| ▶ | 50.9% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
| 60.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))) | |
| 54.1% | (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) | |
| ▶ | 60.2% | (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 98.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
| ✓ | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| 93.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) | |
| 91.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| ✓ | 91.4% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| ▶ | 50.9% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
| 54.5% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) | |
| 57.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) | |
| ✓ | 60.2% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 60.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 509 to 297 computations (41.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y z) z y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 z z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 z z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x z) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) |
| 154× | lower-*.f32 |
| 140× | lower-*.f64 |
| 70× | lower-/.f32 |
| 70× | lower-fma.f32 |
| 68× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 213 |
| 0 | 50 | 210 |
| 1 | 74 | 204 |
| 2 | 93 | 204 |
| 3 | 115 | 204 |
| 4 | 138 | 204 |
| 5 | 149 | 204 |
| 6 | 213 | 204 |
| 7 | 213 | 204 |
| 0 | 213 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
x |
z |
y |
(*.f64 y x) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) |
x |
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z z)) |
y |
(*.f64 z z) |
z |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z z)) |
y |
(*.f64 z z) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 z (*.f64 x y)) |
(*.f64 x z) |
x |
z |
y |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) |
(*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
x |
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) |
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z z)) |
y |
(*.f64 z z) |
z |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z z)) |
y |
(*.f64 z z) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 y (*.f64 z z) y) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y z) z y) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) |
| ✓ | accuracy | 92.3% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
| ✓ | accuracy | 92.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
| ✓ | accuracy | 90.2% | (*.f64 y (*.f64 z z)) |
| ✓ | accuracy | 51.6% | #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
| ✓ | accuracy | 91.8% | (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) |
| ✓ | accuracy | 90.2% | (*.f64 y (*.f64 z z)) |
| ✓ | accuracy | 51.6% | #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 92.3% | (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | accuracy | 52.2% | #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) |
| ✓ | accuracy | 89.7% | (*.f64 (*.f64 x z) y) |
| 52.0ms | 256× | 0 | valid |
Compiled 179 to 25 computations (86% saved)
ival-mult: 15.0ms (52.1% of total)ival-div: 10.0ms (34.7% of total)ival-add: 3.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) #<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 (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) (patch (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) (patch #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 z z)) (patch (*.f64 y (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) (patch #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (pow z 2))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (pow z 2))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | (* y (* z z)) |
| 1.0ms | x | @ | 0 | (* (* x z) y) |
| 0.0ms | y | @ | inf | (* (* x z) y) |
| 0.0ms | z | @ | 0 | (* (* x z) y) |
| 0.0ms | x | @ | inf | (* (* x z) y) |
| 1× | egg-herbie |
| 5 060× | lower-fma.f64 |
| 5 060× | lower-fma.f32 |
| 3 240× | lower--.f64 |
| 3 240× | lower--.f32 |
| 2 678× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 5190 |
| 1 | 299 | 5174 |
| 2 | 838 | 5127 |
| 3 | 2474 | 5022 |
| 4 | 6178 | 5022 |
| 0 | 8157 | 4713 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* y (+ x (* x (pow z 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ 1 y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (+ y (* y (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x (* y (+ 1 (pow z 2)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ 1 y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/ 1 y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* y (+ 1 (pow z 2))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
y |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(+ y (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (+ y (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x y) |
(*.f64 x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (* y (pow z 2))) |
(*.f64 x (*.f64 y (*.f64 z z))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* x (* y (pow z 2))) |
(*.f64 x (*.f64 y (*.f64 z z))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 x (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (*.f64 z (/.f64 z (*.f64 x y))) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 (* y (+ 1 (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ -1 (* y (- (* -1 (pow z 2)) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (pow z 2) y)) (/ 1 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64))) |
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 y (*.f64 z z) y) |
y |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(+ y (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 y (*.f64 z z) y) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
| 1× | batch-egg-rewrite |
| 7 902× | lower-fma.f32 |
| 7 898× | lower-fma.f64 |
| 4 820× | lower-*.f32 |
| 4 806× | lower-*.f64 |
| 2 396× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 0 | 50 | 177 |
| 1 | 169 | 171 |
| 2 | 748 | 171 |
| 3 | 6234 | 171 |
| 0 | 8484 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) |
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z z)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) |
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 z z)))) |
(+.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x y)) |
(+.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 z z)))))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 z z))))) (neg.f64 (*.f64 x (neg.f64 y)))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z))))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z)))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)))) |
(-.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z y) y))) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 y (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (-.f64 y (*.f64 y (*.f64 z z)))))) |
(fma.f64 x y (*.f64 x (*.f64 y (*.f64 z z)))) |
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 x y)) |
(fma.f64 z (*.f64 x (*.f64 z y)) (*.f64 x y)) |
(fma.f64 z (/.f64 (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 x z) (*.f64 z y) (*.f64 x y)) |
(fma.f64 (*.f64 x z) (/.f64 (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 y x (*.f64 x (*.f64 y (*.f64 z z)))) |
(fma.f64 y (*.f64 x (*.f64 z z)) (*.f64 x y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 z y)) (/.f64 (*.f64 z (*.f64 x (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))) |
(fma.f64 (*.f64 x y) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (*.f64 z z) (*.f64 x y) (*.f64 x y)) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 y (*.f64 z z)) x (*.f64 x y)) |
(fma.f64 (*.f64 z y) (*.f64 x z) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (/.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z))))) |
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z z) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(fma.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 z (*.f64 x (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z y) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (*.f64 z y) y) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (*.f64 z y) y) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 z (*.f64 z y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z y) y)) #s(literal -1 binary64)) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z y) y)) |
(*.f64 (fma.f64 z (*.f64 z y) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 z (*.f64 z y) y) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (*.f64 z y) y))) |
(*.f64 (neg.f64 (fma.f64 z (*.f64 z y) y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) (/.f64 (fma.f64 z (*.f64 z y) y) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (fma.f64 z (*.f64 z y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (fma.f64 (*.f64 z z) (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (neg.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z))))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (*.f64 z y) y) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (fma.f64 z (*.f64 z y) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z y) (*.f64 y (*.f64 y (*.f64 z z)))))) (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 y (*.f64 (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))))))) (fma.f64 z (*.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z y)) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z))))) (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y (-.f64 (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 y (*.f64 y (*.f64 z z))))))) (*.f64 y (-.f64 (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 y (*.f64 y (*.f64 z z)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (fma.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) (fma.f64 y (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 y (*.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
Compiled 33 638 to 1 854 computations (94.5% saved)
19 alts after pruning (12 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 332 | 5 | 1 337 |
| Fresh | 2 | 7 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 337 | 19 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| 93.4% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y) | |
| 65.8% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) x) | |
| 55.0% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y)) | |
| 52.8% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x) | |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
| 54.1% | (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) | |
| ✓ | 60.2% | (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
| 95.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x))) | |
| ✓ | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| 91.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| 93.3% | (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) | |
| ✓ | 91.4% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| 52.8% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) | |
| ✓ | 50.9% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
| 54.5% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) | |
| 57.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) | |
| ✓ | 60.2% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 60.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 780 to 286 computations (63.3% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z)))))) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (*.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
8 calls:
| 41.0ms | (/.f64 #s(literal 1 binary64) x) |
| 36.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 21.0ms | y |
| 12.0ms | x |
| 11.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | y |
| 99.0% | 1 | z |
| 99.0% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 99.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 99.0% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 99.0% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 99.0% | 1 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) |
8 calls:
| 34.0ms | (/.f64 #s(literal 1 binary64) x) |
| 26.0ms | y |
| 15.0ms | (*.f64 z z) |
| 8.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | z |
| 98.8% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 98.8% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.8% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.8% | 1 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
8 calls:
| 16.0ms | z |
| 12.0ms | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) x) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | y |
| 98.7% | 1 | z |
| 98.7% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.7% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.7% | 1 | (*.f64 z z) |
| 98.7% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 98.7% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
8 calls:
| 34.0ms | (*.f64 z z) |
| 22.0ms | x |
| 18.0ms | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 6.0ms | (/.f64 #s(literal 1 binary64) x) |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 1 | x |
| 95.1% | 2 | y |
| 95.1% | 2 | z |
| 93.3% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 93.3% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 93.3% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 95.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 95.1% | 2 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
3 calls:
| 5.0ms | z |
| 5.0ms | (*.f64 z z) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | z |
| 95.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 95.1% | 2 | (*.f64 z z) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
8 calls:
| 25.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | x |
| 91.4% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 91.4% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 93.2% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 91.4% | 1 | y |
| 95.1% | 3 | z |
| 95.1% | 3 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 95.1% | 3 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))) |
8 calls:
| 11.0ms | x |
| 10.0ms | (*.f64 z z) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 5 | x |
| 76.7% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 68.8% | 5 | (/.f64 #s(literal 1 binary64) x) |
| 67.5% | 2 | y |
| 79.7% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 94.4% | 3 | z |
| 94.4% | 3 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 94.4% | 3 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) |
3 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 z z) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | z |
| 92.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 92.6% | 2 | (*.f64 z z) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) |
3 calls:
| 3.0ms | z |
| 2.0ms | (*.f64 z z) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 2 | z |
| 88.9% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 88.9% | 2 | (*.f64 z z) |
Compiled 18 to 13 computations (27.8% saved)
Total -4.4b remaining (-17.2%)
Threshold costs -4.4b (-17.2%)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) |
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
8 calls:
| 11.0ms | z |
| 3.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | x |
| 60.4% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 60.4% | 1 | y |
| 60.4% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 60.4% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 60.4% | 1 | z |
| 60.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 60.4% | 1 | (*.f64 z z) |
Compiled 56 to 40 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6901939793657606e+297 | 1.6194781447826326e+299 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6901939793657606e+297 | 1.6194781447826326e+299 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6901939793657606e+297 | 1.6194781447826326e+299 |
| 0.0ms | 1.1733478443080103e+25 | 5.334653637617506e+25 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6901939793657606e+297 | 1.6194781447826326e+299 |
| 0.0ms | 0.5005702919475074 | 16644894.220440954 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005702919475074 | 16644894.220440954 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005702919475074 | 16644894.220440954 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 345 |
| 1 | 95 | 345 |
| 2 | 108 | 345 |
| 3 | 117 | 345 |
| 4 | 122 | 345 |
| 5 | 123 | 345 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))) |
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z))))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z))))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))) |
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| 18 180× | lower-fma.f64 |
| 18 180× | lower-fma.f32 |
| 7 902× | lower-fma.f32 |
| 7 898× | lower-fma.f64 |
| 5 766× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 0 | 50 | 177 |
| 1 | 169 | 171 |
| 2 | 748 | 171 |
| 3 | 6234 | 171 |
| 0 | 8484 | 171 |
| 0 | 27 | 126 |
| 0 | 48 | 122 |
| 1 | 210 | 121 |
| 2 | 1239 | 121 |
| 0 | 8315 | 121 |
| 0 | 110 | 4522 |
| 1 | 319 | 4510 |
| 2 | 865 | 4471 |
| 3 | 2532 | 4386 |
| 4 | 6356 | 4386 |
| 0 | 8010 | 4107 |
| 0 | 26 | 113 |
| 0 | 44 | 112 |
| 1 | 194 | 112 |
| 2 | 1115 | 112 |
| 0 | 8410 | 112 |
| 0 | 52 | 814 |
| 1 | 135 | 812 |
| 2 | 389 | 807 |
| 3 | 1483 | 790 |
| 4 | 3946 | 754 |
| 5 | 7664 | 754 |
| 0 | 8189 | 693 |
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2758 | 29 |
| 0 | 9078 | 26 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 262 to 546 computations (56.7% saved)
(abs z)
Compiled 968 to 384 computations (60.3% saved)
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