
Time bar (total: 5.6s)
| 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)
| 588.0ms | 8 256× | 0 | valid |
ival-atanh: 318.0ms (97.3% of total)ival-true: 6.0ms (1.8% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 32 | (1.3817988246955792e-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 | 33 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 33 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-mult: 9.0ms (38.1% of total)ival-log1p: 6.0ms (25.4% of total)ival-div: 4.0ms (16.9% of total)ival-sub: 3.0ms (12.7% of total)exact: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 93.5% | (*.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)))) |
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 | 0.04296875 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.001922654517195 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 18.0ms | 256× | 0 | valid |
Compiled 76 to 20 computations (73.7% saved)
ival-log1p: 3.0ms (27.1% of total)ival-mult: 3.0ms (27.1% of total)ival-sub: 2.0ms (18.1% of total)ival-div: 2.0ms (18.1% 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 |
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) |
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 |
|---|
#<batchref> |
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Compiled 4 261 to 820 computations (80.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 9 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 9 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| 91.2% | (*.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)))))) | |
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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))))))))) | |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) |
| ▶ | 66.5% | (*.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)))))) |
| ▶ | 79.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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))))) |
| 4.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) | |
| 67.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| ▶ | 7.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ▶ | 96.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 324 to 218 computations (32.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (log1p.f32 (/.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)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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))))) | |
| cost-diff | 64 | (*.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)))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 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 | 0 | (log1p.f32 (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))))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 768 | (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)))))) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 415 |
| 0 | 80 | 386 |
| 1 | 144 | 386 |
| 2 | 311 | 383 |
| 3 | 759 | 383 |
| 4 | 2560 | 383 |
| 5 | 5630 | 383 |
| 0 | 8171 | 375 |
| 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 (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)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (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))))))) |
(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)))))) |
x |
(*.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))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#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 #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 (/.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))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.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 #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 #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 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)))) |
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) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x 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)) |
#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 (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)))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (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))))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) |
(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)))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x)) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#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 x (-.f32 #s(literal 1 binary32) (*.f32 x 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)))))) |
(*.f32 (log1p.f32 (*.f32 (/.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))) #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 #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 (*.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 #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 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #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 (/.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 (log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 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) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.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)))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 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) (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 #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 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 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) (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))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 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 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)))) |
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) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (/.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))) | |
| accuracy | 0.0625 | (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) | |
| accuracy | 2.8177034875312117 | (log1p.f32 (/.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)))) | |
| accuracy | 15.614926222991636 | (fma.f32 x x x) | |
| accuracy | 0.01953125 | (/.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 | 0.0234375 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 3.0738221127783456 | (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 | 5.534600032869063 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 0.00390625 | (-.f32 #s(literal 1 binary32) (*.f32 x x)) | |
| accuracy | 0.015625 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 3.920059126254705 | (log1p.f32 (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))))))) | |
| accuracy | 9.565378591149218 | (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)))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| accuracy | 4.0848539489145255 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| accuracy | 29.516275570646044 | #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 | 1.0461684630163102 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 123.0ms | 256× | 0 | valid |
Compiled 812 to 80 computations (90.1% saved)
ival-mult: 27.0ms (31.8% of total)ival-sub: 19.0ms (22.4% of total)ival-log1p: 18.0ms (21.2% of total)ival-div: 9.0ms (10.6% of total)ival-pow: 4.0ms (4.7% of total)ival-add: 3.0ms (3.5% of total)ival-pow2: 2.0ms (2.4% 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 (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)))))) (patch (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)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.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 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)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (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))))))) (patch (log1p.f32 (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))))))) #<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 (*.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 (*.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)))) (patch (*.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)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (/.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)))) (patch (log1p.f32 (/.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)))) #<representation binary32>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ()) |
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 x x)) (patch (-.f32 #s(literal 1 binary32) (*.f32 x x)) #<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 (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ()) |
#s(alt (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 x x x) #s(literal 2 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 (* 2 x) (taylor 0 x) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 x x)) (patch (-.f32 #s(literal 1 binary32) (*.f32 x x)) #<representation binary32>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 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)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 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)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 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)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 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)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 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)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 2611 |
| 1 | 1074 | 2518 |
| 2 | 2731 | 2446 |
| 3 | 6354 | 2440 |
| 0 | 8320 | 2286 |
| 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))))))) |
(* 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)))))))) |
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))))) |
(* 2 x) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 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 (* 2 x))))))) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(+ 1 (* x (+ 1 (* -1 x)))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(* (pow x 2) (+ 1 (* 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 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 |
(* -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)))))) |
(* 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)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (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) |
-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))) |
(* 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))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 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) |
(* 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 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) 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) |
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) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -2 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) (*.f32 x 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) |
x |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (pow x 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (* 2 x))) |
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 1 binary32)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(*.f32 (*.f32 (fma.f32 (+.f32 #s(literal 2 binary32) x) x #s(literal 1 binary32)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(*.f32 (*.f32 (fma.f32 (+.f32 #s(literal 2 binary32) x) x #s(literal 1 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))) |
(+ (* 1/2 (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 (/.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))) |
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(* 2 x) |
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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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(pow x 2) |
(*.f32 x x) |
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(pow x 4) |
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(log -1) |
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(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)) |
(* -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))) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) x) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(fma.f32 #s(literal 4 binary32) x (*.f32 (*.f32 #s(literal 2 binary32) x) x)) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 x x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(fma.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -4 binary32)) x (*.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 |
#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 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f32 x (*.f32 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)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(pow x 4) |
(pow.f32 x #s(literal 4 binary32)) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x)) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) x) x)) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) x) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 332 |
| 0 | 80 | 267 |
| 1 | 317 | 227 |
| 2 | 2714 | 227 |
| 0 | 9117 | 227 |
| 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)) |
(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)))))) |
(*.f32 #s(literal 1 binary32) (*.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 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)))))))) |
(log1p.f32 (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))))))) |
(*.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)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 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) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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))))) |
(log1p.f32 (/.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 #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 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 x x x) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
| Outputs |
|---|
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Compiled 32 503 to 4 091 computations (87.4% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 173 | 17 | 1 190 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 179 | 20 | 1 199 |
| Status | Accuracy | Program |
|---|---|---|
| 68.5% | (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) | |
| 8.0% | (*.f32 #s(literal 1/2 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))))))) | |
| 21.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 41.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) |
| 10.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))) | |
| 10.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 91.5% | (*.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)))))) | |
| ▶ | 68.2% | (*.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))))))) |
| 96.7% | (*.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 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 96.7% | (*.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)))) | |
| ▶ | 67.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
| 5.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.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)))) | |
| ▶ | 15.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 68.6% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) |
Compiled 685 to 494 computations (27.9% 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 | (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.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 | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 160 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) | |
| cost-diff | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| cost-diff | 0 | (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) | |
| cost-diff | 0 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 452 |
| 0 | 94 | 438 |
| 1 | 167 | 438 |
| 2 | 331 | 435 |
| 3 | 663 | 435 |
| 4 | 1373 | 435 |
| 5 | 2882 | 435 |
| 6 | 5117 | 435 |
| 0 | 8309 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
#s(literal 4 binary32) |
#s(literal -5/3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.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)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#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))))))) |
#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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
#s(literal 4 binary32) |
#s(literal -5/3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #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 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #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 |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#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 (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) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (*.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 | 0.04296875 | (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 2.8383961812351792 | (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 | 8.225409194894725 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 0.0234375 | (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) | |
| accuracy | 0.6073311377965939 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| accuracy | 2.9889045196379094 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| accuracy | 5.296027986589014 | (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) | |
| accuracy | 0.015625 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 20.514949876267263 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 22.487202035965304 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 30.988134776965648 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| accuracy | 0.7409494049410823 | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) | |
| accuracy | 9.544122352562809 | (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) | |
| accuracy | 17.830191916868234 | (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| accuracy | 0.01171875 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| accuracy | 0.9460648586709711 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| accuracy | 23.186358669451707 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
| 315.0ms | 256× | 0 | valid |
Compiled 740 to 92 computations (87.6% saved)
ival-mult: 28.0ms (33.4% of total)const: 18.0ms (21.5% of total)ival-log1p: 11.0ms (13.1% of total)ival-div: 9.0ms (10.7% of total)ival-add: 8.0ms (9.6% of total)ival-sub: 4.0ms (4.8% of total)ival-pow: 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 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ()) |
#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.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 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.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 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.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 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) 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 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #<representation binary32>) () ()) |
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (patch (fma.f32 #s(literal 2 binary32) x #s(literal 2 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.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 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x 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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x 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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) #<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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt -5/3 (taylor 0 x) (#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4 x) 5/3) (taylor 0 x) (#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4 x) 5/3) (taylor 0 x) (#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 4 x) 5/3) (taylor 0 x) (#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) 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) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3)))) |
| 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))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) 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) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3)))) |
| 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))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) 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) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 3028 |
| 1 | 1136 | 2903 |
| 2 | 3051 | 2819 |
| 3 | 7550 | 2808 |
| 0 | 8558 | 2658 |
| 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 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (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)))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
-5/3 |
(- (* 4 x) 5/3) |
(- (* 4 x) 5/3) |
(- (* 4 x) 5/3) |
(* 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)))))))) |
(* 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)))))))) |
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) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 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))))) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (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 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(+ 1 (* x (+ 1 (* -1 x)))) |
2 |
(+ 2 (* 2 (pow x 3))) |
(+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))) |
(+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))) |
(* 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)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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)))) |
(* 4 (pow x 4)) |
(* (pow x 4) (- 4 (* 5/3 (/ 1 x)))) |
(* (pow x 4) (- (+ 4 (/ 1 (pow x 3))) (* 5/3 (/ 1 x)))) |
(* (pow x 4) (- (+ 4 (/ 1 (pow x 3))) (* 5/3 (/ 1 x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 4 x) |
(* x (- 4 (* 5/3 (/ 1 x)))) |
(* x (- 4 (* 5/3 (/ 1 x)))) |
(* x (- 4 (* 5/3 (/ 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 (/ (+ 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 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)))))) |
(* 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 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
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)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* -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)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 3)) |
(* 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))) |
(* -10/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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))) |
(* 4 (pow x 4)) |
(* (pow x 4) (- 4 (* 5/3 (/ 1 x)))) |
(* (pow x 4) (+ 4 (* -1 (/ (- 5/3 (/ 1 (pow x 2))) x)))) |
(* (pow x 4) (+ 4 (* -1 (/ (- 5/3 (/ 1 (pow x 2))) x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 4 x) |
(* -1 (* x (- (* 5/3 (/ 1 x)) 4))) |
(* -1 (* x (- (* 5/3 (/ 1 x)) 4))) |
(* -1 (* x (- (* 5/3 (/ 1 x)) 4))) |
-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)) |
(/ -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))) |
(* 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 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 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))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* -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)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3))) |
| 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 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #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 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
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) |
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) (- (* 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) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
-5/3 |
#s(literal -5/3 binary32) |
(- (* 4 x) 5/3) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
(- (* 4 x) 5/3) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
(- (* 4 x) 5/3) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
(* 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 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (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)) (pow.f32 x #s(literal 3 binary32)) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (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)) (pow.f32 x #s(literal 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)))))) |
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(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) x) x) #s(literal 2 binary32)) x)) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) (neg.f32 x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 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)) |
(*.f32 x (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32))) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(*.f32 x (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32))) |
(/ -2 (pow x 3)) |
(/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) |
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3))) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 384 |
| 0 | 94 | 370 |
| 1 | 355 | 370 |
| 2 | 2586 | 370 |
| 0 | 8726 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) 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) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.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 1 binary32) (*.f32 x x))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
| Outputs |
|---|
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Compiled 21 655 to 3 552 computations (83.6% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 11 | 927 |
| Fresh | 1 | 12 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 920 | 27 | 947 |
| Status | Accuracy | Program |
|---|---|---|
| 68.3% | (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) | |
| 8.0% | (*.f32 #s(literal 1/2 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))))))) | |
| 21.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 41.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 11.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))) | |
| 10.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
| 96.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))) | |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x))))))) | |
| 3.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x))))) | |
| ▶ | 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 91.5% | (*.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)))))) | |
| ✓ | 68.3% | (*.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))))))) |
| 96.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32))))) | |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| 96.7% | (*.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 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| ▶ | 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
| 5.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.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)))) | |
| ▶ | 18.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) |
| ✓ | 15.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 3.9% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))))) |
Compiled 1 000 to 699 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) | |
| cost-diff | 0 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| cost-diff | 0 | (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 64 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 160 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| cost-diff | 64 | (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) | |
| cost-diff | 160 | (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 612 |
| 0 | 94 | 604 |
| 1 | 169 | 604 |
| 2 | 273 | 598 |
| 3 | 426 | 598 |
| 4 | 872 | 598 |
| 5 | 2137 | 598 |
| 6 | 4444 | 598 |
| 0 | 8186 | 567 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) |
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) |
(*.f32 x #s(literal -10/3 binary32)) |
x |
#s(literal -10/3 binary32) |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) |
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x) |
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x) |
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) |
(*.f32 x #s(literal -10/3 binary32)) |
(*.f32 #s(literal -10/3 binary32) x) |
x |
#s(literal -10/3 binary32) |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)))) |
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))) |
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4096055686347096 | #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| accuracy | 2.4267681644235086 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| accuracy | 7.115964052577518 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| accuracy | 26.993521844837417 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0.01953125 | (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) | |
| accuracy | 0.403636477174702 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| accuracy | 1.6636211993502463 | #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) | |
| accuracy | 1.7727296701225976 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| accuracy | 0.01171875 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 2.026121001529195 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| accuracy | 2.5393197023976817 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| accuracy | 26.993521844837417 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0.01171875 | (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) | |
| accuracy | 0.1953125 | (*.f32 x #s(literal -10/3 binary32)) | |
| accuracy | 0.6849153900957373 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) | |
| accuracy | 3.599326404739581 | (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 0.01171875 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 2.2884518921419277 | (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) | |
| accuracy | 7.002816639199467 | (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) | |
| accuracy | 26.993521844837417 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
| 125.0ms | 223× | 0 | valid |
| 67.0ms | 33× | 5 | exit |
Compiled 862 to 90 computations (89.6% saved)
ival-mult: 41.0ms (31.3% of total)const: 21.0ms (16% of total)ival-log1p: 18.0ms (13.7% of total)ival-add: 15.0ms (11.4% of total)adjust: 14.0ms (10.7% of total)ival-div: 12.0ms (9.2% of total)ival-sub: 4.0ms (3.1% of total)ival-pow: 4.0ms (3.1% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ()) |
#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (patch (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<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) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -10/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ()) |
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#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())) ()) |
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#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())) ()) |
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#s(alt (/ -1 x) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ())) ()) |
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#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (* -10/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -10/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -10/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -10/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x 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))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 2.0ms | x | @ | inf | ((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x 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))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 2.0ms | x | @ | 0 | ((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x 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))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 2990 |
| 1 | 852 | 2868 |
| 2 | 2158 | 2792 |
| 3 | 5663 | 2732 |
| 0 | 8172 | 2579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))) |
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 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (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)))))))) |
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) |
(* 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 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 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
x |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 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)))))))) |
-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)))))) |
(* 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)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
-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)))))) |
(* 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 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(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 (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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 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) |
-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))) |
(* 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))) |
(* -10/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
-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))) |
(* 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 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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) |
(* -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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
(* -10/3 x) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 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)) |
| Outputs |
|---|
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 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 x #s(literal 2 binary32)) |
(* 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) |
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 x #s(literal 2 binary32)) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) 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 x #s(literal 2 binary32)) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 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 x #s(literal 2 binary32)) |
(* 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)))))))) |
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(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -10/3 x) |
(*.f32 #s(literal -10/3 binary32) x) |
(* -10/3 x) |
(*.f32 #s(literal -10/3 binary32) x) |
(* -10/3 x) |
(*.f32 #s(literal -10/3 binary32) x) |
(* -10/3 x) |
(*.f32 #s(literal -10/3 binary32) x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) 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 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 490 |
| 0 | 94 | 482 |
| 1 | 369 | 476 |
| 2 | 2494 | 476 |
| 0 | 8324 | 465 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 x #s(literal -10/3 binary32)) |
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
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Compiled 17 599 to 2 052 computations (88.3% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 742 | 14 | 756 |
| Fresh | 3 | 15 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 749 | 34 | 783 |
| Status | Accuracy | Program |
|---|---|---|
| 67.3% | (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) | |
| 91.5% | (*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) | |
| 7.9% | (*.f32 #s(literal 1/2 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))))))) | |
| 21.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 41.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x) #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| 96.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))) | |
| 11.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) | |
| 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x #s(approx (* (/ x (- 1 (* x x))) 2) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (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) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))) | |
| 11.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| ✓ | 92.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 94.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (/ (* 2 x) (- 1 (* x x))) (*.f32 x #s(literal 2 binary32)))))) | |
| 3.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x))))) | |
| ✓ | 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 91.5% | (*.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)))))) | |
| ✓ | 65.8% | (*.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))))))) |
| 96.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32))))) | |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| 96.7% | (*.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 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 91.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) x))))) | |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| 5.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.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)))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| ✓ | 96.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 68.6% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)) | |
| 3.9% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))))) | |
| 68.8% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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)) |
Compiled 1 573 to 744 computations (52.7% saved)
Total -30.6b remaining (-2924.6%)
Threshold costs -30.6b (-2924.6%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 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(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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)) |
(*.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 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32))))) |
(*.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 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.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)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (/ (* 2 x) (- 1 (* x x))) (*.f32 x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.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)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x) #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.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 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.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 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (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)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) 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) (+.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))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #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 #s(approx (+ (* (- 1 x) x) 1) #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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x #s(approx (* (/ x (- 1 (* x x))) 2) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) 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 #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 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (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) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 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 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.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) (-.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 (/.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 #s(literal 1/2 binary32) (log1p.f32 (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))))))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
4 calls:
| 140.0ms | x |
| 37.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 14.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 14.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | x |
| 96.7% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.7% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.7% | 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 |
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)) |
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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