Rust f32::atanh
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.8% | 0.4% | 0% | 49.8% | 0% | 3 |
| 50% | 24.9% | 24.9% | 0.4% | 0% | 49.8% | 0% | 4 |
| 75% | 37.4% | 12.5% | 0.4% | 0% | 49.8% | 0% | 5 |
| 87.5% | 43.6% | 6.2% | 0.4% | 0% | 49.8% | 0% | 6 |
| 93.8% | 46.7% | 3.1% | 0.4% | 0% | 49.8% | 0% | 7 |
| 96.9% | 48.2% | 1.6% | 0.4% | 0% | 49.8% | 0% | 8 |
| 98.4% | 49% | 0.8% | 0.4% | 0% | 49.8% | 0% | 9 |
| 99.2% | 49.4% | 0.4% | 0.4% | 0% | 49.8% | 0% | 10 |
| 99.6% | 49.4% | 0.2% | 0.4% | 0% | 50% | 0% | 11 |
| 99.8% | 49.5% | 0.1% | 0.4% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 244.0ms | 8 256× | 0 | valid |
ival-atanh: 68.0ms (88.9% of total)ival-true: 5.0ms (6.5% of total)ival-assert: 3.0ms (3.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary32) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) x) |
| 0 | 0 | - | 0 | - | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) x) |
| 0 | 0 | - | 0 | - | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 56.0ms | 512× | 0 | valid |
Compiled 93 to 31 computations (66.7% saved)
ival-mult: 7.0ms (34.7% of total)ival-log1p: 6.0ms (29.7% of total)ival-div: 4.0ms (19.8% of total)ival-sub: 3.0ms (14.9% of total)exact: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f64 |
| 84× | lower-*.f32 |
| 76× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 31 | 10 |
| 3 | 37 | 10 |
| 4 | 44 | 10 |
| 5 | 58 | 10 |
| 6 | 96 | 10 |
| 7 | 163 | 10 |
| 8 | 221 | 10 |
| 9 | 249 | 10 |
| 10 | 260 | 10 |
| 11 | 270 | 10 |
| 12 | 270 | 10 |
| 0 | 270 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 11 to 9 computations (18.2% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f64 |
| 84× | lower-*.f32 |
| 76× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 24 | 35 |
| 2 | 31 | 35 |
| 3 | 37 | 35 |
| 4 | 44 | 35 |
| 5 | 58 | 35 |
| 6 | 96 | 35 |
| 7 | 163 | 35 |
| 8 | 221 | 35 |
| 9 | 249 | 35 |
| 10 | 260 | 35 |
| 11 | 270 | 35 |
| 12 | 270 | 35 |
| 0 | 270 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.01953125 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.0390625 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-div: 5.0ms (42.7% of total)ival-mult: 3.0ms (25.6% of total)ival-log1p: 2.0ms (17.1% of total)ival-sub: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 0.0ms | x | @ | -inf | (* 2 x) |
| 0.0ms | x | @ | inf | (* 2 x) |
| 1× | egg-herbie |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 3 522× | lower-*.f64 |
| 3 522× | lower-*.f32 |
| 2 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (*.f32 x x) x)) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
| 4 286× | lower-fma.f64 |
| 4 286× | lower-fma.f32 |
| 3 506× | lower-*.f64 |
| 3 502× | lower-*.f32 |
| 2 126× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32)))) |
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) |
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32)) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))) |
(+.f32 (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))) |
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(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (+.f32 x (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32))) |
(neg.f32 (*.f32 x #s(literal -2 binary32))) |
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (neg.f32 x) #s(literal -2 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal -2 binary32) (neg.f32 x)) |
Compiled 5 051 to 804 computations (84.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 7 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 8 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.1% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) | |
| 99.0% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) | |
| ▶ | 98.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ▶ | 97.1% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| ▶ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ▶ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ▶ | 98.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
Compiled 217 to 129 computations (40.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 x x) | |
| cost-diff | 0 | (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) | |
| cost-diff | 0 | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| cost-diff | 0 | (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) | |
| cost-diff | 0 | (*.f32 x x) | |
| cost-diff | 0 | (*.f32 x (*.f32 x x)) | |
| cost-diff | 0 | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) | |
| cost-diff | 0 | (*.f32 x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) | |
| cost-diff | 0 | (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) | |
| cost-diff | 0 | (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| 36 768× | lower-fma.f64 |
| 36 754× | lower-fma.f32 |
| 4 000× | lower-+.f64 |
| 4 000× | lower-+.f32 |
| 3 032× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 281 |
| 0 | 58 | 263 |
| 1 | 111 | 263 |
| 2 | 192 | 263 |
| 3 | 361 | 263 |
| 4 | 664 | 263 |
| 5 | 1003 | 263 |
| 6 | 1088 | 263 |
| 7 | 1590 | 263 |
| 8 | 2282 | 263 |
| 9 | 2998 | 263 |
| 10 | 3739 | 263 |
| 11 | 5185 | 263 |
| 12 | 6000 | 263 |
| 13 | 6621 | 263 |
| 14 | 6779 | 263 |
| 15 | 6794 | 263 |
| 16 | 6913 | 263 |
| 17 | 7003 | 263 |
| 18 | 7018 | 263 |
| 19 | 7018 | 263 |
| 0 | 8594 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
x |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
x |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))) |
x |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0.03125 | (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) | |
| accuracy | 0.08203125 | (*.f32 x (*.f32 x x)) | |
| accuracy | 0.29613357651101335 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) | |
| accuracy | 0.03125 | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) | |
| accuracy | 0.37109375 | (*.f32 x #s(literal 2/3 binary32)) | |
| accuracy | 0.42884433820340023 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) | |
| accuracy | 0 | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0.08203125 | (*.f32 x (*.f32 x x)) | |
| accuracy | 0.42884433820340023 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) | |
| accuracy | 0 | (*.f32 x #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) | |
| accuracy | 0.9390340077623349 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 0.08203125 | (*.f32 x (*.f32 x x)) | |
| accuracy | 0.20703125 | (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) | |
| accuracy | 0.24961558639093184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| accuracy | 0.53515625 | (*.f32 x #s(literal 1/7 binary32)) |
| 140.0ms | 256× | 0 | valid |
Compiled 228 to 36 computations (84.2% saved)
ival-mult: 74.0ms (58.3% of total)const: 40.0ms (31.5% of total)ival-add: 7.0ms (5.5% of total)ival-div: 2.0ms (1.6% of total)ival-log1p: 2.0ms (1.6% of total)ival-sub: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 2 binary32)) (patch (*.f32 x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ()) |
#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ()) |
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ()) |
#s(alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 7)) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())) ()) |
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 4)) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ()) |
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#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | (* x 2/3) |
| 1.0ms | x | @ | -inf | (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) |
| 1.0ms | x | @ | -inf | (+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* x 1/7)) 1/5)) |
| 1× | egg-herbie |
| 12 692× | lower-fma.f64 |
| 12 692× | lower-fma.f32 |
| 4 158× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 2 094× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1984 |
| 1 | 446 | 1917 |
| 2 | 1181 | 1905 |
| 3 | 3270 | 1902 |
| 4 | 6603 | 1902 |
| 0 | 8154 | 1759 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/5 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(* 1/7 (pow x 3)) |
(*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) |
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(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) |
(* 1/5 (pow x 5)) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/5 (pow x 5)) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
| 5 654× | lower-fma.f64 |
| 5 640× | lower-fma.f32 |
| 4 370× | lower-*.f64 |
| 4 352× | lower-*.f32 |
| 4 262× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 243 |
| 0 | 58 | 229 |
| 1 | 221 | 229 |
| 2 | 1577 | 229 |
| 0 | 8261 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 x (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(+.f32 x (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) |
(+.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) x (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) |
(fma.f32 x #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) |
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) x) |
(fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) x) |
(fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(fma.f32 (*.f32 x (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 x x) x) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x)) x x) |
(fma.f32 (*.f32 (*.f32 x (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) x) x x) |
(fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (*.f32 x (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x))) (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)))))) x) |
(fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal -1/3 binary32))) x) |
(fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x))) #s(literal 1/27 binary32)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (*.f32 x (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x))) (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)))))) x) |
(fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal -1/9 binary32)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal -1/3 binary32))) x) |
(-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (fma.f32 x (*.f32 (*.f32 x x) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x x) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (-.f32 x (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #s(literal 1 binary32))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (-.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))))) |
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(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 x (*.f32 x x))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))) (neg.f32 (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (fma.f32 (/.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) x)) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))))) |
(*.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))) |
(*.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x))) |
(+.f32 (*.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32)) |
(-.f32 (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))) |
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x))) (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -1/9 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))) |
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (*.f32 (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x)) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(*.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))) |
(*.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))))) |
(*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x))))) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 #s(literal 1/7 binary32) x) |
(*.f32 x #s(literal 2/3 binary32)) |
(*.f32 #s(literal 2/3 binary32) x) |
Compiled 17 904 to 1 206 computations (93.3% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 2 | 674 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 673 | 9 | 682 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ▶ | 99.0% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 98.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 97.1% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ▶ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 98.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
| ▶ | 98.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
Compiled 137 to 80 computations (41.6% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) | |
| cost-diff | 0 | (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) | |
| cost-diff | 0 | (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| cost-diff | 64 | (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) | |
| cost-diff | 0 | (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) | |
| cost-diff | 704 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) |
| 5 278× | lower-fma.f64 |
| 5 268× | lower-fma.f32 |
| 1 918× | lower-*.f64 |
| 1 904× | lower-*.f32 |
| 1 084× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 310 |
| 0 | 53 | 286 |
| 1 | 100 | 286 |
| 2 | 208 | 286 |
| 3 | 470 | 286 |
| 4 | 1116 | 286 |
| 5 | 1881 | 286 |
| 6 | 3061 | 286 |
| 7 | 4837 | 286 |
| 8 | 5941 | 286 |
| 0 | 8189 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
x |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) |
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
x |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x x) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(*.f32 x #s(literal 2/5 binary32)) |
#s(literal 2/5 binary32) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) |
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) |
(fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) |
x |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) |
(fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) |
(+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) |
(*.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) |
x |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x x) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(*.f32 x #s(literal 2/5 binary32)) |
#s(literal 2/5 binary32) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) | |
| accuracy | 0.04296875 | (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) | |
| accuracy | 0.21484375 | (*.f32 x #s(literal 2/5 binary32)) | |
| accuracy | 0.29613357651101335 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) | |
| accuracy | 0.08203125 | (*.f32 x (*.f32 x x)) | |
| accuracy | 0.12337875976844201 | (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) | |
| accuracy | 0.24961558639093184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) | |
| accuracy | 0.53515625 | (*.f32 x #s(literal 1/7 binary32)) | |
| accuracy | 0.08203125 | (*.f32 x (*.f32 x x)) | |
| accuracy | 0.24961558639093184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) | |
| accuracy | 0.28747516000435513 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) | |
| accuracy | 0.53515625 | (*.f32 x #s(literal 1/7 binary32)) |
| 76.0ms | 256× | 0 | valid |
Compiled 266 to 33 computations (87.6% saved)
const: 24.0ms (42.6% of total)ival-mult: 18.0ms (32% of total)ival-div: 5.0ms (8.9% of total)ival-add: 5.0ms (8.9% of total)ival-log1p: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ()) |
#s(alt (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (patch (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) (patch (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 7)) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ()) |
#s(alt 2/3 (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)) |
| 0.0ms | x | @ | -inf | (* x 2/5) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)) |
| 0.0ms | x | @ | -inf | (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) |
| 0.0ms | x | @ | inf | (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) |
| 1× | egg-herbie |
| 14 164× | lower-fma.f64 |
| 14 164× | lower-fma.f32 |
| 4 168× | lower-*.f64 |
| 4 168× | lower-*.f32 |
| 3 144× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 1906 |
| 1 | 561 | 1864 |
| 2 | 1402 | 1849 |
| 3 | 3822 | 1842 |
| 4 | 7905 | 1842 |
| 0 | 8453 | 1731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) |
(/ 7 (pow x 7)) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ 7 (pow x 7)) |
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(/ 7 (pow x 7)) |
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f32 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)) |
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 (-.f32 #s(literal -49/5 binary32) (/.f32 #s(literal 196/75 binary32) (*.f32 x x))) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f32 (+.f32 #s(literal 7 binary32) (+.f32 (/.f32 (+.f32 #s(literal -196/75 binary32) (/.f32 #s(literal -8428/375 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -49/5 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 7 binary32))) |
(/ 7 (pow x 7)) |
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7))) |
(/.f32 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7))) |
(/.f32 (+.f32 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (*.f32 x x))) (/.f32 #s(literal -196/75 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (pow.f32 x #s(literal 7 binary32))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7))) |
(/.f32 (-.f32 (/.f32 #s(literal -49/5 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 8428/375 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 196/75 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (pow.f32 x #s(literal 7 binary32))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* 2/5 (pow x 5)) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 2/5 (pow x 5)) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* 2/5 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* 2/5 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
2/3 |
#s(literal 2/3 binary32) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* 2/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* 2/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
| 4 500× | lower-fma.f64 |
| 4 490× | lower-fma.f32 |
| 3 848× | lower-/.f64 |
| 3 844× | lower-/.f32 |
| 3 768× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 256 |
| 0 | 53 | 234 |
| 1 | 208 | 234 |
| 2 | 1465 | 234 |
| 0 | 8398 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 x (*.f32 x x)) |
(*.f32 x #s(literal 2/5 binary32)) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
| Outputs |
|---|
(neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x))) |
(exp.f32 (log.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) #s(literal 1 binary32))) |
(+.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x) |
(+.f32 (/.f32 (*.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))))) |
(pow.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) #s(literal 1 binary32)) |
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(*.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (-.f32 #s(literal 4 binary32) (*.f32 x (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))))))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal -2 binary32))))) |
(*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))))) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 #s(literal 1/7 binary32) x) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) |
(*.f32 x (*.f32 x x)) |
(*.f32 (*.f32 x x) x) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 x #s(literal 2/5 binary32)) |
(*.f32 #s(literal 2/5 binary32) x) |
(+.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (neg.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 x #s(literal 2/5 binary32)) x #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (neg.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) |
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(-.f32 (/.f32 #s(literal 4/9 binary32) (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(/.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (fma.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) |
(*.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))) |
Compiled 28 375 to 1 564 computations (94.5% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 694 | 2 | 696 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 695 | 10 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 99.0% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 98.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 97.1% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 98.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
| ▶ | 98.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
| ▶ | 98.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
Compiled 154 to 89 computations (42.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
| 11 798× | lower-fma.f64 |
| 11 788× | lower-fma.f32 |
| 4 152× | lower-*.f64 |
| 4 146× | lower-*.f32 |
| 2 022× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 373 |
| 0 | 60 | 361 |
| 1 | 120 | 361 |
| 2 | 263 | 361 |
| 3 | 544 | 361 |
| 4 | 983 | 361 |
| 5 | 1478 | 361 |
| 6 | 1592 | 361 |
| 7 | 2245 | 361 |
| 8 | 2776 | 361 |
| 9 | 3503 | 361 |
| 10 | 4274 | 361 |
| 11 | 5735 | 361 |
| 12 | 7099 | 361 |
| 0 | 8006 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(literal 1 binary32) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) |
(*.f32 x x) |
x |
(fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) |
(*.f32 x #s(literal -4/45 binary32)) |
#s(literal -4/45 binary32) |
#s(literal -1/3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(literal 1 binary32) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) |
(*.f32 x x) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) |
(*.f32 x #s(literal -44/945 binary32)) |
#s(literal -44/945 binary32) |
#s(literal -4/45 binary32) |
#s(literal -1/3 binary32) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(literal 1 binary32) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) |
(*.f32 x x) |
x |
(fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) |
(*.f32 x #s(literal -4/45 binary32)) |
#s(literal -4/45 binary32) |
#s(literal -1/3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(literal 1 binary32) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) |
(*.f32 x x) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) |
(*.f32 x #s(literal -44/945 binary32)) |
#s(literal -44/945 binary32) |
#s(literal -4/45 binary32) |
#s(literal -1/3 binary32) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f32 x #s(literal -44/945 binary32)) | |
| accuracy | 0.23190936791322725 | #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) | |
| accuracy | 0.24961558639093184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) | |
| accuracy | 0.28747516000435513 | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) | |
| accuracy | 0.22971034841019886 | #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) | |
| accuracy | 0.24961558639093184 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) | |
| accuracy | 0.28747516000435513 | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) | |
| accuracy | 0.2890625 | (*.f32 x #s(literal -4/45 binary32)) |
| 81.0ms | 256× | 0 | valid |
Compiled 238 to 42 computations (82.4% saved)
ival-mult: 33.0ms (47.1% of total)const: 16.0ms (22.9% of total)ival-add: 9.0ms (12.9% of total)ival-div: 8.0ms (11.4% of total)ival-log1p: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) #<representation binary32>) () ())) ()) |
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#s(alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) (taylor 0 x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) (taylor 0 x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 (pow x 5)) (taylor inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) (taylor inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) (taylor inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 (pow x 5)) (taylor -inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (patch (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -4/45 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -4/45 binary32)) (patch (*.f32 x #s(literal -4/45 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -44/945 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -44/945 binary32)) (patch (*.f32 x #s(literal -44/945 binary32)) #<representation binary32>) () ())) ()) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) |
| 1.0ms | x | @ | inf | (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) |
| 0.0ms | x | @ | inf | (/ (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -44/945)) -4/45)) -1/3)) 1) x) |
| 0.0ms | x | @ | inf | (* x -44/945) |
| 0.0ms | x | @ | inf | (* x -4/45) |
| 1× | egg-herbie |
| 13 242× | lower-fma.f64 |
| 13 242× | lower-fma.f32 |
| 3 868× | lower-*.f64 |
| 3 868× | lower-*.f32 |
| 2 808× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 1312 |
| 1 | 459 | 1282 |
| 2 | 1326 | 1268 |
| 3 | 4095 | 1242 |
| 0 | 8407 | 1173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) |
(/ 7 (pow x 7)) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ 7 (pow x 7)) |
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(* -4/45 (pow x 3)) |
(* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -4/45 (pow x 3)) |
(* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4))))) |
(* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) |
(/ 7 (pow x 7)) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7)) |
(/ 7 (pow x 7)) |
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7))) |
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x) |
(* -44/945 (pow x 5)) |
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) |
(* -44/945 (pow x 5)) |
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6))))) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -4/45 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
(* -44/945 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
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(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -4/45 x) |
(*.f32 x #s(literal -4/45 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
(* -44/945 x) |
(*.f32 x #s(literal -44/945 binary32)) |
| 4 760× | lower-fma.f64 |
| 4 750× | lower-fma.f32 |
| 4 314× | lower-*.f64 |
| 4 308× | lower-*.f32 |
| 3 760× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 308 |
| 0 | 60 | 296 |
| 1 | 274 | 296 |
| 2 | 2115 | 296 |
| 0 | 8190 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) |
(*.f32 x #s(literal -4/45 binary32)) |
(*.f32 x #s(literal -44/945 binary32)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(exp.f32 (*.f32 (log.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal -1 binary32))) |
(pow.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(*.f32 (pow.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32)) (pow.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32))) |
(exp.f32 (neg.f32 (*.f32 (log.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal -1 binary32)))) |
(pow.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) |
(/.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))))) |
(/.f32 (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x))) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (neg.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)))) #s(literal 1 binary32)) |
#s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) |
(neg.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (neg.f32 x))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) x)) |
(exp.f32 (*.f32 (log.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (neg.f32 x))) |
(-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))))) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal -1 binary32))) x) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal -1 binary32))) x)) |
(-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))))) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)))))) |
(/.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)) x) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32))) (neg.f32 x)) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) #s(literal 1 binary32)) (*.f32 x (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))))) |
(/.f32 (fma.f32 x (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) #s(literal -1 binary32)) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) x)) |
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(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) #s(literal 1 binary32)))) (neg.f32 (neg.f32 x))) |
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(/.f32 (neg.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #s(literal 1 binary32)) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 x))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 x (fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))))) |
(*.f32 (pow.f32 (/.f32 x (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))))) x)) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal 1 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32))) x)) |
(*.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 x #s(literal -4/45 binary32)) |
(*.f32 #s(literal -4/45 binary32) x) |
(*.f32 x #s(literal -44/945 binary32)) |
(*.f32 #s(literal -44/945 binary32) x) |
Compiled 7 341 to 563 computations (92.3% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 262 | 2 | 264 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 7 | 8 |
| Total | 264 | 10 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 99.0% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 98.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 97.1% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | 99.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 98.7% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
| ✓ | 98.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
| 98.4% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))))) | |
| 98.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) #s(approx (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) (fma.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x)))))) |
Compiled 386 to 158 computations (59.1% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) #s(approx (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) (fma.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x)))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
4 calls:
| 4.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 4.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 4.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) #s(approx (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) (fma.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x)))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
4 calls:
| 36.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 4.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 4.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.2% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.2% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (+ (* (+ (* x (* x 1/7)) 1/5) (* x x)) 1/3) (* x (* x x))) x)) #s(approx (/ (+ (* (* x x) (+ (* x (* x -4/45)) -1/3)) 1) x) (fma.f32 x (fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x)))))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
4 calls:
| 73.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 3.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 3.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.2% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.2% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
4 calls:
| 2.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 2.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 2.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.1% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.1% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
4 calls:
| 22.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 2.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 98.7% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 98.7% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
4 calls:
| 1.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 1.0ms | x |
| 1.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 1.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 97.1% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 97.1% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary32 |
| 6× | +-commutative_binary32 |
| 4× | sub-neg_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 136 |
| 1 | 51 | 136 |
| 2 | 55 | 136 |
| 3 | 57 | 136 |
| 4 | 58 | 136 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (+.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 5 654× | lower-fma.f64 |
| 5 640× | lower-fma.f32 |
| 4 370× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 0 | 35 | 243 |
| 0 | 58 | 229 |
| 1 | 221 | 229 |
| 2 | 1577 | 229 |
| 0 | 8261 | 215 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 130 to 56 computations (56.9% saved)
Compiled 180 to 70 computations (61.1% saved)
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