
Time bar (total: 5.0s)
| 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)
| 359.0ms | 8 256× | 0 | valid |
ival-atanh: 227.0ms (96.6% of total)ival-true: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 34 | (-1.4886295502947178e-6) | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 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 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 256 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 256 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 92 to 31 computations (66.3% saved)
ival-mult: 26.0ms (69.6% of total)ival-div: 4.0ms (10.7% of total)ival-log1p: 4.0ms (10.7% of total)ival-sub: 3.0ms (8% of total)exact: 1.0ms (2.7% 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)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 10 to 9 computations (10% 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)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#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 | 0.07421875 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 1.7924807104639846 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 15.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 3.0ms (34.7% of total)ival-div: 2.0ms (23.1% of total)ival-log1p: 2.0ms (23.1% of total)ival-sub: 1.0ms (11.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 (* 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 (* 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 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 (* 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 (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 -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 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 (* 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 (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 (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 -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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 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 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 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)))))))) |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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)))))) |
(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)))))) |
-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 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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))) |
(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 |
(* -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) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 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 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 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 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) 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 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
| 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 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal 512 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 9 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) (log1p.f32 (fma.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)) (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
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(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (/.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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 x (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) |
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (/.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) |
(*.f32 #s(literal -2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 x (*.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 x (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))))) |
(*.f32 x (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 x #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(pow.f32 (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(+.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x))) |
(exp.f32 (*.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (log1p.f32 x)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal -2 binary32) (neg.f32 x)) |
(*.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 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x)) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
Compiled 4 261 to 820 computations (80.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 8 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 8 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) | |
| ▶ | 10.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
| 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ▶ | 65.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| ▶ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
| ▶ | 7.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ▶ | 97.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 7.5% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
Compiled 250 to 174 computations (30.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 x x #s(literal 1 binary32)) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) | |
| cost-diff | 4000 | (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| cost-diff | 0 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 64 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 16 252× | lower-fma.f64 |
| 16 246× | lower-fma.f32 |
| 4 394× | lower-*.f64 |
| 4 372× | lower-*.f32 |
| 2 336× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 316 |
| 0 | 69 | 289 |
| 1 | 118 | 289 |
| 2 | 224 | 289 |
| 3 | 484 | 289 |
| 4 | 1146 | 289 |
| 5 | 1803 | 285 |
| 6 | 4407 | 285 |
| 0 | 8039 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) |
#s(literal -2 binary32) |
(-.f32 x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(fma.f32 x x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)) |
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) |
#s(literal -2 binary32) |
(-.f32 x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 (fma.f32 x x x) #s(literal -2 binary32) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(log1p.f32 (*.f32 (fma.f32 (fma.f32 x x x) #s(literal -2 binary32) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 (fma.f32 (fma.f32 x x x) #s(literal -2 binary32) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) |
(fma.f32 x x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 2.406173448385206 | (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| accuracy | 9.45654725298823 | (fma.f32 x x #s(literal 1 binary32)) | |
| accuracy | 28.47439750147105 | (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| accuracy | 0.015625 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 0.08984375 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 1.7822108855549812 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 1.7843301209348774 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) | |
| accuracy | 0.08203125 | (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) | |
| accuracy | 0.0859375 | (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) | |
| accuracy | 1.7924807104639846 | (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| accuracy | 1.7924807104639846 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| accuracy | 29.65722601696048 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.6785945649632661 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 98.0ms | 256× | 0 | valid |
Compiled 332 to 36 computations (89.2% saved)
ival-div: 41.0ms (49.2% of total)ival-mult: 20.0ms (24% of total)ival-log1p: 9.0ms (10.8% of total)ival-pow: 6.0ms (7.2% of total)ival-add: 4.0ms (4.8% of total)ival-sub: 4.0ms (4.8% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (patch (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) (patch (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 x x #s(literal 1 binary32)) (patch (fma.f32 x x #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<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 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<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 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<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 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))) (* 1/2 (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3))))))))) (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))))) (+ (* x x) 1) (+ (* (- 1 x) x) 1) (/ x (- 1 (pow x 3)))) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))) (* 1/2 (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3))))))))) (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))))) (+ (* x x) 1) (+ (* (- 1 x) x) 1) (/ x (- 1 (pow x 3)))) |
| 2.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))) (* 1/2 (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3))))))))) (log (+ 1 (+ (* (+ (* x x) 1) (* 2 (/ x (- 1 (pow x 3))))) (* x (* 2 (/ x (- 1 (pow x 3)))))))) (+ (* x x) 1) (+ (* (- 1 x) x) 1) (/ x (- 1 (pow x 3)))) |
| 1× | egg-herbie |
| 9 654× | lower-fma.f64 |
| 9 654× | lower-fma.f32 |
| 3 784× | lower-*.f64 |
| 3 784× | lower-*.f32 |
| 3 710× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 2266 |
| 1 | 823 | 2162 |
| 2 | 2135 | 2126 |
| 3 | 5084 | 2110 |
| 0 | 8442 | 1974 |
| 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)))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 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)))))))) |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 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)))))))) |
(* 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)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(+ 1 (* x (+ 1 (* -1 x)))) |
x |
(* x (+ 1 (pow x 3))) |
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3))))) |
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))) |
(* 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)))))) |
(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)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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)))))) |
(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)))))) |
-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)))) |
(* 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)))))) |
(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)))))) |
-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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
-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)))) |
(* 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)))))) |
(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)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(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) |
(* 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))) |
(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 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 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))) |
(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 |
(* -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) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) 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) |
(* 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))) |
(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))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 x)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
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(pow x 2) |
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(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* -2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(/ -1 (pow x 2)) |
(/.f32 #s(literal -1 binary32) (*.f32 x x)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) x)) x) |
| 5 422× | lower-*.f64 |
| 5 402× | lower-*.f32 |
| 4 014× | lower-/.f64 |
| 4 008× | lower-/.f32 |
| 2 440× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 252 |
| 0 | 69 | 198 |
| 1 | 260 | 194 |
| 2 | 2219 | 194 |
| 0 | 8806 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
(log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(fma.f32 x x #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
| Outputs |
|---|
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 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)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log1p.f32 (*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x) |
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x))) |
(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x)) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
Compiled 17 006 to 2 068 computations (87.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 705 | 4 | 709 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 708 | 9 | 717 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| ▶ | 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 93.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| ▶ | 92.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) |
| ✓ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
| ▶ | 65.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
| ✓ | 7.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ✓ | 97.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 7.5% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
Compiled 231 to 171 computations (26% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| cost-diff | 64 | (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 1152 | (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) | |
| cost-diff | 352 | (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) x) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 12 918× | lower-fma.f64 |
| 12 910× | lower-fma.f32 |
| 4 056× | lower-*.f64 |
| 4 034× | lower-*.f32 |
| 2 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 391 |
| 0 | 87 | 360 |
| 1 | 154 | 360 |
| 2 | 313 | 360 |
| 3 | 679 | 330 |
| 4 | 1577 | 328 |
| 5 | 4103 | 327 |
| 0 | 8182 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 #s(literal -2 binary32) x) |
#s(literal -2 binary32) |
x |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(*.f32 #s(literal -2 binary32) x) |
#s(literal -2 binary32) |
x |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(+.f32 x #s(literal 1 binary32)) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) |
(*.f32 (-.f32 x (fma.f32 x x #s(literal -1 binary32))) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) | |
| accuracy | 0 | (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| accuracy | 0 | (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 0 | (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 0 | (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal -2 binary32) x) | |
| accuracy | 0 | (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) | |
| accuracy | 0 | (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0 | (/.f32 #s(literal 1 binary32) x) | |
| accuracy | 0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
| 124.0ms | 256× | 0 | invalid |
Compiled 403 to 48 computations (88.1% saved)
ival-mult: 40.0ms (45.2% of total)ival-add: 12.0ms (13.6% of total)ival-pow: 12.0ms (13.6% of total)ival-div: 10.0ms (11.3% of total)ival-log1p: 8.0ms (9% of total)ival-sub: 4.0ms (4.5% of total)ival-log: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) (patch (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(literal -1 binary32)) (patch (log.f32 #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) (patch (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) (patch (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (patch (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) (patch (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal -2 binary32) x) (patch (*.f32 #s(literal -2 binary32) x) #<representation binary32>) () ()) |
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 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>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)) (* 1/2 (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1))))) (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)))) (/ (* -2 x) (+ (* x x) -1)) (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (* 2 x) (* -2 x) (* x x)) |
| 6.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)) (* 1/2 (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1))))) (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)))) (/ (* -2 x) (+ (* x x) -1)) (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (* 2 x) (* -2 x) (* x x)) |
| 4.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)) (* 1/2 (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1))))) (log (+ 1 (* (/ (* -2 x) (+ (* x x) -1)) (+ x 1)))) (/ (* -2 x) (+ (* x x) -1)) (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* 1 (* 2 (/ x (- 1 (* x x))))) (* x (* 2 (/ x (- 1 (* x x)))))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (* 2 x) (* -2 x) (* x x)) |
| 1× | egg-herbie |
| 10 630× | lower-fma.f64 |
| 10 630× | lower-fma.f32 |
| 4 118× | lower-+.f64 |
| 4 118× | lower-+.f32 |
| 3 888× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 2325 |
| 1 | 867 | 2250 |
| 2 | 2252 | 2191 |
| 3 | 5236 | 2163 |
| 0 | 8428 | 2032 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -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 x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 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)))))))) |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 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)))))))) |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 (* -1 x))))) |
(* x (+ 1 (* x (+ 1 (* -1 x))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 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 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)))) |
(* 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)))))) |
(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)))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 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)))))) |
(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)))))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ 1 x) 1)) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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) |
(* 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))) |
(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) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) 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) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* 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))) |
(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 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (- 1 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
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(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) x)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (/ 1 x) 1)) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x x))) x) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x x))) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* -2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))) 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 1 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
| 5 066× | lower-/.f64 |
| 5 056× | lower-/.f32 |
| 4 960× | lower-fma.f64 |
| 4 952× | lower-fma.f32 |
| 4 368× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 306 |
| 0 | 87 | 275 |
| 1 | 333 | 243 |
| 2 | 2901 | 243 |
| 0 | 9236 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) x) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal -2 binary32) x) |
(*.f32 x x) |
| Outputs |
|---|
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log.f32 (+.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(+.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) |
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(/.f32 (neg.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)))) |
(*.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32))))) (neg.f32 (neg.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x)))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))) |
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(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))))))) |
(+.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) |
(*.f32 x (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) |
(/.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x x) |
(fma.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) |
(fma.f32 x #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x)) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x)) |
(fma.f32 #s(literal 1 binary32) x (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) x) |
(+.f32 (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) x)) x) |
(+.f32 x (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x)) |
(+.f32 x (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(*.f32 (neg.f32 x) #s(literal -2 binary32)) |
(*.f32 #s(literal -2 binary32) (neg.f32 x)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x)) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (neg.f32 x) #s(literal 2 binary32)) |
(*.f32 #s(literal -2 binary32) x) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) (neg.f32 x)) |
(*.f32 x #s(literal -2 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) x)) |
(neg.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
Compiled 34 633 to 4 089 computations (88.2% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 486 | 11 | 1 497 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 491 | 15 | 1 506 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 11.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))))) | |
| 65.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| ✓ | 93.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 97.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (fma.f32 x x x)))))) | |
| 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 x x x)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) | |
| ▶ | 94.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
| ✓ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
| ▶ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
| 93.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (/ (* -2 x) (+ (* x x) -1)) (*.f32 #s(literal 2 binary32) x)) (+.f32 x #s(literal 1 binary32))))) | |
| ▶ | 65.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
| ▶ | 97.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ✓ | 97.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 7.5% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
Compiled 421 to 325 computations (22.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) | |
| cost-diff | 0 | (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) | |
| cost-diff | 288 | (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) | |
| cost-diff | 608 | (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) | |
| cost-diff | 64 | (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) | |
| cost-diff | 288 | (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) x) | |
| cost-diff | 0 | #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| 8 972× | lower-fma.f64 |
| 8 964× | lower-fma.f32 |
| 3 472× | lower-*.f64 |
| 3 456× | lower-*.f32 |
| 1 720× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 398 |
| 0 | 86 | 390 |
| 1 | 143 | 384 |
| 2 | 241 | 384 |
| 3 | 518 | 360 |
| 4 | 1402 | 353 |
| 5 | 5093 | 348 |
| 0 | 8058 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) |
(+.f32 x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
#s(literal -2 binary32) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
x |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) |
#s(literal -2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 x #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) |
(fma.f32 x x x) |
x |
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(+.f32 x #s(literal 1 binary32)) |
(-.f32 x #s(literal -1 binary32)) |
x |
#s(literal 1 binary32) |
#s(literal -2 binary32) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
x |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 x #s(literal 1 binary32)) |
(-.f32 x #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)))) |
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x))) |
#s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) |
(fma.f32 x x x) |
x |
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| accuracy | 0 | (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 0 | #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) | |
| accuracy | 0 | (+.f32 x #s(literal 1 binary32)) | |
| accuracy | 0 | (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) | |
| accuracy | 0 | (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) | |
| accuracy | 0 | (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) | |
| accuracy | 0 | (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) | |
| accuracy | 0 | (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) | |
| accuracy | 0 | (/.f32 #s(literal 1 binary32) x) | |
| accuracy | 0 | #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0 | (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| accuracy | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
| 149.0ms | 256× | 0 | invalid |
Compiled 365 to 51 computations (86% saved)
ival-log1p: 47.0ms (45% of total)ival-mult: 29.0ms (27.7% of total)ival-div: 11.0ms (10.5% of total)ival-add: 8.0ms (7.7% of total)ival-pow: 4.0ms (3.8% of total)ival-sub: 3.0ms (2.9% of total)ival-log: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) (patch #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (patch (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (patch (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) (patch (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) (patch (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) (patch (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) (patch (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ()) |
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) #<representation binary32>) () ()) |
#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ x 1) -2) (/ x (+ (* x x) -1))) (* (+ x 1) -2) (* 1/2 (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1)))))) (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1))))) (/ -2 (/ 1 (+ x 1))) (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))) (* 1/2 (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1))))))) (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) x) (+ x 1)) |
| 3.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ x 1) -2) (/ x (+ (* x x) -1))) (* (+ x 1) -2) (* 1/2 (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1)))))) (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1))))) (/ -2 (/ 1 (+ x 1))) (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))) (* 1/2 (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1))))))) (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) x) (+ x 1)) |
| 2.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ x 1) -2) (/ x (+ (* x x) -1))) (* (+ x 1) -2) (* 1/2 (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1)))))) (log (+ 1 (* (* (+ x 1) -2) (/ x (+ (* x x) -1))))) (/ -2 (/ 1 (+ x 1))) (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))) (* 1/2 (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1))))))) (log (+ 1 (* (/ x (+ (* x x) -1)) (/ -2 (/ 1 (+ x 1)))))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) x) (+ x 1)) |
| 1× | egg-herbie |
| 12 296× | lower-fma.f64 |
| 12 296× | lower-fma.f32 |
| 4 480× | lower-+.f64 |
| 4 480× | lower-+.f32 |
| 3 378× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 2053 |
| 1 | 770 | 1988 |
| 2 | 1997 | 1949 |
| 3 | 4435 | 1909 |
| 0 | 8099 | 1764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -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 x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(- (* -2 x) 2) |
(- (* -2 x) 2) |
(- (* -2 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)))))))) |
(* 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)))))))) |
-2 |
(- (* -2 x) 2) |
(- (* -2 x) 2) |
(- (* -2 x) 2) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 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)))))))) |
(* 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)))))))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 (* -1 x))))) |
(* x (+ 1 (* x (+ 1 (* -1 x))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 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 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 x) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* 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)))))) |
(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)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 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)))) |
(* 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)))))) |
(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)))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ 1 x) 1)) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 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) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* 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))) |
(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) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 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) |
(* 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))) |
(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))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (- 1 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x) |
(/ (+ 1 (* 1/2 (* x (log -1)))) x) |
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
-2 |
#s(literal -2 binary32) |
(- (* -2 x) 2) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(- (* -2 x) 2) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(- (* -2 x) 2) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
-2 |
#s(literal -2 binary32) |
(- (* -2 x) 2) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(- (* -2 x) 2) |
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#s(literal -2 binary32) |
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#s(literal -2 binary32) |
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#s(literal 2 binary32) |
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x |
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#s(literal 2 binary32) |
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(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
(* -1 (* x (+ 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 1 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f32 #s(literal 1 binary32) x) |
(* x (+ 1 (/ 1 x))) |
(+.f32 #s(literal 1 binary32) x) |
(* x (+ 1 (/ 1 x))) |
(+.f32 #s(literal 1 binary32) x) |
| 5 838× | lower-*.f64 |
| 5 822× | lower-*.f32 |
| 4 050× | lower-fma.f64 |
| 4 042× | lower-fma.f32 |
| 3 676× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 319 |
| 0 | 86 | 311 |
| 1 | 343 | 281 |
| 2 | 2587 | 281 |
| 0 | 8794 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) x) |
(*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
(log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
(log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) |
(+.f32 x #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
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(fma.f32 x #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) x #s(literal 1 binary32)) |
(pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) x)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 x #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) x) |
(exp.f32 (neg.f32 (*.f32 (log1p.f32 x) #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log1p.f32 x) #s(literal -1 binary32)) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1 binary32))) |
Compiled 10 672 to 1 774 computations (83.4% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 3 | 632 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 632 | 15 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)))))))) | |
| 11.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))))) | |
| 97.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) x)))) | |
| 65.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 65.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| ✓ | 93.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 x x x)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) | |
| ✓ | 94.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
| ✓ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
| ✓ | 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
| 7.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (/ (* -2 x) (+ (* x x) -1)) (*.f32 #s(literal 2 binary32) x)) (+.f32 x #s(literal 1 binary32))))) | |
| ✓ | 65.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
| ✓ | 97.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ✓ | 97.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ✓ | 7.5% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
Compiled 655 to 330 computations (49.6% saved)
Total -30.0b remaining (-4417.8%)
Threshold costs -30b (-4417.8%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (/ (* -2 x) (+ (* x x) -1)) (*.f32 #s(literal 2 binary32) x)) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (fma.f32 x x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 x x x)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)))))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
4 calls:
| 7.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 7.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 7.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 97.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 97.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 26 to 23 computations (11.5% saved)
| 1× | egg-herbie |
| 4× | *-commutative-binary32-*.f32 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 17 | 16 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
| 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 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 11 to 11 computations (0% saved)
Compiled 32 to 30 computations (6.3% saved)
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